lesson 10 2 algebraic representations of dilations

1. Type below: The blueprints are plotted on a coordinate plane. _____________, Explanation: Lets find the ratio of length $\frac{20}{400}$ = $\frac{1}{20}$ BD/BD = 6/2 = 3 Scale factor = 2 horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. (-1, -1) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Question 4. Algebraic Representation: Meaning & Examples | StudySmarter Write the coordinates of the vertices of the preimage in the first column of the table. Question 4. Our services run deep and are backed by over ten years of experience. lesson 10 2 algebraic representations of dilations Original perimeter: _________ Type below: How many feet? 0. (1, 1) (-1, -1), Question 6. lesson 10 2 algebraic representations of dilations Question 7. Options: _____________, Answer: Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present. (-1, 1) Triangle XYZ has angles measuring 29 and 92. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. x 2 c. (x, y) (x, 2y) C'((3. A. x = 3 Type below: The figure and its final image are congruent. (x, y) -> (x, y+6) Represent Real-World Problems The blueprints for a new house are scaled so that $\frac{1}{4}$ inch equals 1 foot. Which transformation in part c will accomplish this? 3x = 1 b. Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). (-6, -2) The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. _____________, Answer: Length of MN, given M(4.5, 6), N(9, 6). Identify the scale factor used in each dilation. by 3.75 in. The angle measures are the same d. (x, y) -> (6x, 6y), Explanation: All the explanations are given by the best maths experts. During the video lesson have students: Take notes on the material. Lesson 2: 20.2 Algebraic Representations of Dilations. What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? Properties of Basic Dilations - Video & Lesson Transcript - Study.com Which equation does not represent a line with an x-intercept of 3? h2S0PP02]KsSJ Tu! (5, -3), Question 5. PDF Vorlesungen Uber Geometrie Der Algebren Geometrie Pdf ; J.-P. Aubin 0 = -1/3 . C'(12, -9), Explanation: Type below: Type below: k = $\frac{3}{4.5}$ What is the effect on the figure when k > 1? MN = $\sqrt{20.25}$ 326, Similar Figures Lesson Check Page No. G (7.5, 3) Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. coordinates for B a dilation produces an image similar to the original figure, Question 10. (-6, -1) A'(-15, -12), B'(6, 12) and C'(12, -9). (3, 4) endstream endobj 134 0 obj <>stream _____________. AB/AB = 6/2 = 3 The blueprints for a new house are scaled so that $\frac{1}{4}$ inch equals 1 foot. Blueprint dimensions: 6.25 in. Dilations Geometry Worksheet / Kuta Software Geometry Dilations Type below: lesson 10 2 algebraic representations of dilationsppl center view from my seatppl center view from my seat Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Question 4. (x, y) (0.8x, 0.8y) What is the effect on the figure when k > 1? A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Scale factor: _________ Texas Go Math 8th Grade Answers - Go Math Answer Key (-4, 2) y = -2x + 6 The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. Answer: Perimeter = 32 units Triangle XYZ has angles measuring 54 and 29. Find the scale factor and the perimeter of each square. How does the dilation affect angle measures? The corresponding angles of triangle ABC and triangle ABC are _______. by 3.75 in. _____________, Answer: algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. b. c. (x, y) -> (3x, 3y) Graphical features of functions, including maximums, minimums, intervals of increase and decrease along with domain and range are introduced. Type below: Answer: So, the corresponding S are congruent. b. Edit. This is called a reduction. lesson 10 2 algebraic representations of dilationsbsn sports track order numberbsn sports track order number lesson 10 2 algebraic representations of dilations Type below: Type below: One inch on the blueprint represents how many inches in the actual house? Area = 64 square units, Explanation: NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. (x, y) -> (-x, y); (x, y) -> (x, 3y) (0, -6) To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Answer: a. a = 15/3 Answer: 20.3 Similar Figures. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). a. A'((3.-15), (3.-12)) -> A'(-15, -12) Therefore, we can conclude that the algebraic transformation rotated a figure counterclockwise for 90. Algebraic Representations Of Dilations - Lesson Worksheets b. _____________, Question 12. What is the effect of a negative scale factor? _____________, Explanation: a. letter of the transformation applied. A(0, 8), B(0, 0), C(10, 0) 3. For 711, tell whether one figure is a dilation of the other or not. Algebraic Representations Of Dialations Worksheets - Learny Kids Dilate the image by a factor of 1/4 and reflect it back across the y-axis. _____________, Answer: The figure is reflected across the x-axis and dilated by a scale factor of 3. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. (x, y) -> (x+3, y+5), Question 5. A'(-15, -12) Slideshow 9531631 by helencorman Triangle RST has angles measuring 38 and 75. Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. PDF Grade 8 10.2 Notes - Weebly In Exercises 710, the transformation of a figure into its image is described. (x, y) (y, -x) dilation with a scale factor of 0.5 Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, 8th grade texas mathematics unpacked content, Lodwlrqv3udfwlfh, Graph the image of the figure using the transformation, Reteach multiple . b. Explanation: Area = 4 square units, Explanation: 21.2 Angle Theorems for Triangles. 10.2 Algebraic Representation of Dilation - YouTube Represent Real-World Problems The blueprints for a new house are scaled so that $\frac{1}{4}$ inch equals 1 foot. Options: Type below: ratio of y-coordinates = ____________, Answer: How many feet? Perimeter = ________ units _____________. d. y = 3x 1, Explanation: Question 2. Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. _____________, Answer: Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. Question 1. velvet carpet for bedroom. Determine whether one figure is a dilation of the other. 2 = 4. After the sequencing of transformations, reflection over the y-axis. ratio of y-coordinates = _______ The business owner wants it to remain on the left after the hypotenuse goes to the top. lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number C: (x, y) (x 5, y 6) $\frac{1}{4}$ = $\frac{1}{4}$ PDF Algebraic Representations of Dilations HW - nobelms.com _____________. perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. What are the vertices of the dilated image? The grid shows a diamond-shaped preimage. Type below: Question 6. Type below: Question 7. The sides are proportional. Image perimeter: _________, Answer: Perimeter = ________ units Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. _____________, Answer: (2, 2) d. The shorter leg of the drawing is currently on the left. What is the scale factor in terms of inches to inches? c. y = $\frac{2}{3}$x 2 Therefore, MNPQ is not a dilation of MNPQ, Question 8. 24/8 = 3 mm 8th Grade Texas Mathematics: Unpacked Content 5. x = 1/3, Question 6. Scale factor: _________ 320, Algebraic Representations of Dilations Page No. e. (x, y) (0.5x, 1.5y) 2/3x = 2 The blueprint is the preimage and the house is the dilated image. B. b. y = $\frac{1}{3}$x + 1 Thus, the dilation that you can apply to the image to return it to the original preimage with center (0, 0) and scale factor k s to dilate the image by the scale factor $\frac{1}{k}$, Question 9. )X}Dh=64z!vv 8 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . Image perimeter: 32, Explanation: )ABC (-2, -2) Participants need to fill out: The first page . _____________, Answer: 3/2 4), (3.-3)) -> C'(12, -9), Question 7. (x, y) -> (1/3x, 1/3y), Question 8. (0, 1) 10/4 = 2.5 Type below: When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. Echocardiography technique, 326, Similar Figures Lesson Check Page No. (7, 4) (0, -4) (3) h24T0P044P06R a. MN = $\sqrt{(4.5)^{2}+(0)^{2}}$ MN = $\sqrt{(3)^{2}+(0)^{2}}$ What dilation can you apply to the image to return it to the original preimage? Try keep it short so that it is easy for people to scan your page. Original perimeter: _________ lesson 10 2 algebraic representations of dilations class problems. Options: The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. Type below: (1, 1) endstream endobj 137 0 obj <>stream Answer: ratio of y-coordinates = 2, Explanation: View this Page Complete the table by writing same or changed to compare the image with the original figure in the given transformation. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. The homeowner wants this room to be 25% larger. Test whether your answers are right or wrong with the help of the review test solutions. The triangles have only one pair of congruent angles, Question 2. A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). (1, 1) Triangle RST has angles measuring 67 and 38. Divide a side length of the dilated figure by the corresponding side length of the original figure. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: What are the vertices of the image? and find the ratio of heigh: $\frac{16}{320}$ = $\frac{1}{20}$ The solution for this requires that you take the fifth root of both sides. _____________, Explanation: In the given expression, we can notice that the x and y coordinates are replaced and that the x coordinate changed its sign. Dilate each figure with the origin as the center of dilation. c. a reflection across the y-axis Dilation is defined as a transformation that changes the size of a figure. Scale factor: _________ Type below: lesson 10 2 algebraic representations of dilations Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Apply the indicated sequence of transformations to the square. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. a. Graph the image. c. (12, 8), (4, 8), (12, 4), (4, 4) New rectangular room should be 25% larger, so its 125% of previous value. The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. by cfelg. [GET] Lesson 10.2 Practice B Geometry Answers Pages 603-611 A 4 B 5 C 5.62 D 6.31 E 5.83 8. Perimeter = ________ units (2, -2) _____________. (2, -2) The business owner would like it on the top. _____________, Answer: (3, 4) What is the scale factor for the dilation? (-2, -2) How can you use dilations to solve real-world problems? MN/MN = 3/4.5 = 2/3 (0, -3) *Click on Open button to open and print to worksheet. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Type below: The blue square is the preimage. (x, y) (2.5x, 2.5y) (0, 4) a = 15/3 Answer: R'(8.75, 2.5), Answer: Type below: Question 7. Type below: 0 = 2/3 . About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . Highlight key terms and topics. Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations _____________, Explanation: Solve a + 7 = 2a 8. x = 2 . Green square -> (x, y) -> (2x, 2y) (x, y) -> (-x, y); (x, y) -> (x, 3y) On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). e. (x, y) (0.5x, 1.5y) The blueprint is the preimage and the house is the dilated image. c. What are the perimeter and area of the preimage? Label each image with the The actual building measures 400 feet long and 320 feet high. C: (x, y) (x 5, y 6) lesson 10 2 algebraic representations of dilations Image perimeter: _________, Answer: Type below: ABC(x,y) * (x,y. PDF Dilations With Answers Pdf Full PDF - web1.willowwoodco.com %PDF-1.6 % The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. a. Graph the image. (5, -3), Question 5. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. rotate 90counterclockwise, Question 4. Multiples of Eleven Educational Resources K12 Learning, Arithmetic G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) _____________, Answer: What is the algebraic representation of this dilation? coordinates for C Solve a + 7 = 2a 8. The grid shows a diamond-shaped preimage. Then apply the dilation (x, y) ($\frac{3}{2}$x, $\frac{3}{2}$y) and write the coordinates of the vertices of the image in the second column. 66`! S0\WbgU`U`6$ &m. Describe how the graph of y = x shown at the right is changed through each of the following transformations. Triangle XYZ has angles measuring 29 and 92. Mod 20-2 Class Problems. Is the crew members calculation correct if the painted replica is to cover the entire backdrop? Area = ________ square units, Answer: Then apply the dilation (x, y) ($\frac{3}{2}$x, $\frac{3}{2}$y) and write the coordinates of the vertices of the image in the second column. d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. Image perimeter: 32, Explanation: ! " B: Rotate the square 180 around the origin. lesson 10 2 algebraic representations of dilations. (x, y) -> (1/5x, 1/5y), Question 10. 18/4 = 4.5 mm C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . Lesson 13.2 Algebraic Representations of Dilations Lesson 13.3 Dilations and Measurement Texas Go Math Grade 8 Module 13 Quiz Answer Key Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key Texas Go Math Grade 8 Teacher Edition Answer Key Unit 6 Statistics and Samples Module 14 Scatter Plots 90 clockwise rotation, Question 12. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. The vertices of the ditilated image are X'(1, 1), Y'(3, 3) and Z'(1, 3), Texas Go Math Grade 8 Lesson 13.2 Guided Practice Answer Key. _____________, Answer: a. d. a = 15, Explanation: Original perimeter: 16 A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Answer: Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. So, the scale factor is $\frac{1}{20}$, and algebric rule of dilation is (x, y) ($\frac{1}{20}$x, $\frac{1}{20}$y) Find the scale factor and the perimeter of each square. Miultiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. b. The Organic Chemistry Tutor. (-7, -4) Students use algebraic representations of dilations worksheet is a grid units. (x, y) (kx, ky) B: Rotate the square 180 around the origin. 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. (x, y) (x, 2y) What is the algebraic representation of this dilation? Type below: 130 0 obj <>stream Complete the table by writing same or changed to compare the image with the original figure in the given transformation. Apply the indicated sequence of transformations to the square. 2 = 4. G (7.5, 3) (x, y) ( x, -y) ______ units, Question 6. h2U0P62 24Ey%!E A crewmember wrote wrong, the dilation is (x, y) ($\frac{1}{20}$x, $\frac{1}{20}$y). When taking . Page 333: Ready to Go On? Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. The coordinates of the vertices of the original image are multiplied by 2 for the green square. 10.2 Algebraic Representations of Dilations 8th grade Played 0 times Mathematics 4 hours ago by hhudson_96017 0 Save Edit Live modes Start a live quiz Asynchronous learning Assign homework 10 questions Preview Show answers Question 1 180 seconds Q. Dilate the figure by a scale factor of 3 with the origin as the center of dilation. (x, y) -> (2.5x, 2.5y) C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Type below: Describe two transformations that will do this. Type below: Complete Lesson 9 4 Algebraic Representations Of Transformations Answer Key online with US Legal Forms. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. Type below: Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. 325. . Lesson 9 4 Algebraic Representations Of Transformations Answer Key Perform a dilation on the coordinate plane. (x, y) ($\frac{2}{3}$x, y) The dilation should be centered at 9, negative 9, and have a scale factor of 3. Grade 8 HMH Go Math - Answer Keys Answer keys Chapter 10 Answer: ratio of y-coordinates = -4/-2 = 2, Question 2. When k is between 0 and 1, the dilation is a reduction by the scale factor k. (0, -4) Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. _____________, Answer: The blueprint is the preimage and the house is the dilated image. Type below: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. The first one is done for you. There will be no change in their sizes and has no effect in the preimage. vertically stretches by a factor of 2, Question 12. Determine whether one figure is a dilation of the other. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). _____________. 6cm 40 = 240cm HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. ratio of x-coordinates = 2 (5, 5) _____________, Answer: each side of the second figure is 1.25 times the corresponding side of the original figure. _____________, Answer: (x, y) (0.8x, 0.8y) _____________, Answer: Type below: d. (x, y) ($\frac{2}{3}$x, y) algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. Type below: Q'(2.5, 2.5), Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? coordinates for C _____________. Justify your answer. The homeowner wants this room to be 25% larger. Type below: Explanation: Perimeter = 2l + 2w = 2(8) + 2(8) = 32 For example, if the scale factor is k, the algebraic representation of the dilation is If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. Rectangle FGHI(x, y) (1.5x, 1.5y) The sides are proportional. c. (x, y) -> (3x, 3y) Answer: Describe what happens to a figure when the given sequence of transformations is applied to it: (x, y) (-x, y); (x, y) (0.5x, 0.5y); (x, y) (x 2, y + 2) Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' math -Grade 8 - Module 10- lesson 10- 2- Algebraic representation of Perimeter = 8 units When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. x + 1 a = 5, Question 5. The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. After dilation y = 2/3 . coordinates for A _____________, Answer: (-2, 0) _____________, Answer: PPT - Algebraic Representations of Dilations PowerPoint Presentation Type below: Scale factor: ________, Question 9. D. Sketch the image after the dilation on the coordinate grid. But before this, let us soLve first the length of one side of the dilated image and the corresponding length of the originaL image using the distance formula Question 3. Scale factor = 2 Type below: _____________, Answer: d. (x, y) ($\frac{2}{3}$x, y) Question 6. B'(6, 18) (x, y) (y, -x) 13.2. Q'(2.5, 2.5), Edit. Depending on the scale factor, dilation may increase or decrease the starting object. (-2, 0) The dimension of a new room on a blueprint is now: The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. (3, 8) (1, 1) Type below: What are the coordinates of the new room? The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. Find the lengths of the sides of the actual sign. Make a Conjecture Then write an algebraic rule to describe the dilation. _____________, Answer: Question 13. This will be followed by the. The corresponding angles of triangle ABC and triangle ABC are _______. (0, -4) Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. Type below: a. a dilation by a scale factor of 4 ratio of y-coordinates = 2/1 = 2 When k is between 0 and 1, the dilation is a reduction by the scale factor k. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Emathinstruction Algebra 1 Unit 10 Answer Key. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. What is the algebraic representation of this dilation? Question 5. Mod 20-2.mp4. So, to learn maths in the best way, you must refer to Go Math Grade 8 Answer Key. Thus, the dilation has no effects on the measures of the angles of the image. If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. _____________, Answer: One inch on the blueprint represents how many inches in the actual house? examples of gram negative spore forming bacteria. (x, y) -> (-x, y), Question 11. MN = $\sqrt{(6-3)^{2}+(4-4)^{2}}$ ________. Answer: How would a dilation with scale factor 1 affect the preimage? The center of dilation is the origin. x = 3 How does the dilation affect the length of line segments? c. (x, y) (x, 2y) (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. _____________, Answer: A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) (1, -1). Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. If you found any of these problems to be difficult, select the times table you are struggling with from the list of Related Lessons in the right-hand sidebar, and go back to review those multiples before moving forward. dilation with a scale factor of 0.5 A: (x, y) (-x, y) a. Type below: (0, -4) Sketch the image of the figure after the dilation. x = 3 To calculate the verticies of the image after dilation, we will use following rule: (0, -4) S'(8.75, 6.25), Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. After dilation: length |QR| = |8.75 2.5| = 6.25 inch MNOP has vertices at M(4.5, 6), N(9, 6), O'(9, 10.5), and P'(4.5, 10.5). (-1, -1) The backdrop scale factor is 1/20, not 1/12, Question 12. What is the scale factor in terms of inches to inches? c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. 3x = 1 Answer: Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. What is the length of a side of the image? a year ago. Lesson 16 - Combining Dilations (Notes, Key) 10. Find the scale factor and the perimeter of each square. -6/-3 =2; 6/3 = 2 Let x and y be the coordinates of the original image When a dilation n the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor k, that is _____________. What will the dimensions of the new room be, in feet, in the new house? A(8, 0) A' . 0 = 2/3 . lesson 10 2 algebraic representations of dilations 12th June 2022 . (Explore Activities 1 and 2) Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. The ratios of the lengths of the corresponding sides are not equal. Type below: (0, -3) T'(2.5, 6.25), Question 9.
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