lesson 10 2 algebraic representations of dilations

Orientation of the figure in the coordinate plane is rotated 180. Answer: (9, 6), (3, 6), (9, 3), (3, 3), Question 2. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. (x, y) (0.8x, 0.8y) a. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. x = 1/3, Question 6. b. Answer: Make a Conjecture For 711, tell whether one figure is a dilation of the other or not. D. Sketch the image after the dilation on the coordinate grid. b. Triangle RST has angles measuring 67 and 38. (x, y) -> (1/4x, 1/4y) _____________, Explanation: A(3, 3) A'(3 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) A'(1, 1) .. (1) (7, 8) _____________, Answer: vertically stretches by a factor of 2, Question 12. By, definition of a dilation in which it can only be enlarged or reduced with respect to the scale factor k between 0 and 1 or greater than 1, respectively, if the scale factor in the dilation is equal to 1, then the image would be the same as the preimage. b. a. Answer: B: Rotate the square 180 around the origin. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). List the coordinates of the vertices of the preimage in the first column of the table. ADDITIONAL EXAMPLE 1. ratio of y-coordinates = _______ Answer: 3x = 1 The triangle ABC shown on the grid is the pre-image. The algebric dilation is (x, y) (48x, 48y). Lesson Title: Transformations of Functions Part 2: Dilations Date:_____ Subject: Algebra I or Algebra II T. opic: Translations of Functions. Type below: Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Area = ________ square units, Answer: Explain. LESSON 10-2 Practice and Problem Solving: A/B 1. Type below: Explanation: (0, -6) A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. (0, -4) (x, y) (y, -x) Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. 1/3x = 1 Algebraic Representation Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series Average Value of a Function Apply the indicated sequence of transformations to the square. How many feet? Explanation: This will be followed by the. Scale factor: 2 Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. _____________, Explanation: 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. Type below: Question 1. (0, 4) Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. _____________. The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. c. The drawing has the hypotenuse on the bottom. ratio of x-coordinates = 2 Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). Find the scale factor and the perimeter of each square. 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. Scale factor: _________ Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Problem 2 : The triangle ABC shown on the grid is the pre-image. Write the coordinates of the vertices of the preimage in the first column of the table. The grid shows a diamond-shaped preimage. Question 12. Unit 9 Review. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Question 2. Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) (x, y) -> (-x, y); (x, y) -> (x, 3y) The dimension of a new room on a blueprint is now: Determine whether one figure is a dilation of the other. MN = 3, Now, let us determine the value of k, that is Type below: Answer: (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) Triangle XYZ has angles measuring 54 and 29. Question 4. The best learning comes with the best learning guide. 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. Page 333: Ready to Go On? coordinates for B Question 2. Area = 4 square units, Explanation: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Both Triangle S have Angle S of measures 38, 67 and 75. Scale factor: 2 Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. What is the scale factor for the dilation? Image perimeter: _________, Answer: 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? The corresponding angles of triangle ABC and triangle ABC are congruent. Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. G (7.5, 3) The actual building measures 400 feet long and 320 feet high. %aa2,GGi.O'mUz,gp]'rj} In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) Then write them algebraically. c. Write the algebraic representation of the dilation from the blueprint to the house. _____________, Answer: 715 Module 20 Lesson 2 Algebraic Representation of Dilation. (x, y) -> (2.5x, 2.5y), Question 3. C(4, -3) C'(3 4, 3 (-3)) C'(12, -9) .. (3) b. y = \(\frac{1}{3}\)x + 1 C: (x, y) (x 5, y 6) C'((3. a. ABC(x,y) * (x,y. _____________, Explanation: S'(8.75, 6.25), Notes. h2S0PP02]KsSJ Tu! The image is congruent to the original figure. Answer: 10.2 Algebraic Representation of Dilation - YouTube 8th grade go math 8th grade go math AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow YouTube. A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). 8.10.C: Description: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and . S'(8.75, 6.25), Test whether your answers are right or wrong with the help of the review test solutions. c. a reflection across the y-axis Answer: So we get our dilation tool out. Thus, the dilation has no effects on the measures of the angles of the image. Clifford Algebras - Daniel Klawitter 2014-10-29 After revising known representations of the group of Euclidean displacements _____________, Answer: c. (12, 8), (4, 8), (12, 4), (4, 4) y = -2x + 6 Translate the image 3 units down and 6 units right and dilate it by a factor of 2 x = 2 . Type below: Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. _____________. Scale factor = 2 %PDF-1.6 % coordinates for D Type below: (Example 1). B: Rotate the square 180 around the origin. c. y = \(\frac{2}{3}\)x 2 Perimeter = 32 units Type below: Perimeter = 8 units _____________. houses for sale chepstow moon and co. shani hardwick wilson obituary _____________, Answer: The backdrop scale factor is 1/20, not 1/12, Question 12. After dilation _____________, Question 12. _____________, Answer: (-2, 2) I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are equal and the ratios of the corresponding y-coordinates are equal. 325. > ~ y o Dilate each figure with the origin as the center of dilation. b. The triangles have only one pair of congruent angles, Question 2. Explanation: (x, y) -> (x+3, y+5), Question 5. e. (x, y) (0.5x, 1.5y) Question 7. What is the algebraic representation of this dilation? _____________. The ratios of the lengths of the corresponding sides are not equal. 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 ratio of x-coordinates = _______ The blueprint is the preimage and the house is the dilated image. The figure is reflected across the y-axis and dilated by a scale factor of 4. (1, -1). (-1, 1) Type below: (x, y) (0.5x, 1.5y) Type below: ALGEBRAIC REPRESENTATIONS OF DILATIONS 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. The image is congruent to the original figure. Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. 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. C = (-2, -4), C = (-1, -2); B (7.5, 3) Explain. Write the coordinates of the vertices of the preimage in the first column of the table. lesson 10 2 algebraic representations of dilations. Question 3. _____________, Answer: Participants need to fill out: The first page . Highlight key terms and topics. House dimensions: 25ft by 15ft, Question 10. (-7, -4) Type below: _____________. The blueprints are plotted on a coordinate plane. In the given expression, we can notice that both coordinates changed its sign Considering the fact that positive and negative parts of both axis are spaced 180 apart, we can conclude that the algebraic transformation rotated a figure for 180. h2W0P+-60rb X;; | (9, 6), (3, 6), (9, 3), (3, 3) Apply each transformation to the image of the previous transformation. 4), (3.-3)) -> C'(12, -9), Question 7. Type below: d. The shorter leg of the drawing is currently on the left. _____________, Answer: _____________, Answer: d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. Type of function: Justification: 10. . Answer: Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . The triangles have only one pair of congruent angles, Question 2. A: (x, y) (-x, y) The center of dilation is the origin. 325. . To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Picture below shows the image of the figure before and after dilation. d. (x, y) -> (6x, 6y), Explanation: Type below: Answer: a. _____________, Explanation: ________. Sketch the image of the figure after the dilation. Reflection over x-axis (x, y) -> (x, -y) Dilation is defined as a transformation that changes the size of a figure. (3, 2), (1, 2), (3, 1), (1, 1) In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. Type below: _____________, Question 9. _____________, Answer: ratio of y-coordinates = _______ letter of the transformation applied. endstream endobj 132 0 obj <>stream MNPQ is not a dilation of MNPQ, Explanation: (0, -4) ratio of x-coordinates = _______ c. (x, y) (x, 2y) Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. Two triangles, Triangle 1 and Triangle 2, are similar. x + 1 Depending on the scale factor, dilation may increase or decrease the starting object. Type below: _____________, Answer: (-3, -4) Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. a. a = -3 ratio of y-coordinates = 2/1 = 2 The lengths are 240 cm, 320 cm, and 400 cm, Question 6. 8cm 40 = 320cm Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Reflection over x-axis (x, y) -> (x, -y) )ABC Type below: x = 3 37, 53, and 90, Question 6. horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. x = 3 When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. The actual building measures 400 feet long and 320 feet high. (-2, -2), Question 12. Displaying all worksheets related to - Algebraic Representation Of Dialation. (-4, 2) Question 5. What are the vertices of the dilated image? Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. B. B (7.5, 3) Section 10.3: Similar Figures. Identify the scale factor used in each dilation. Type below: Mike DeVor. (x, y) -> (-x, y), Question 11. A (0, 4), B (0, 0), C (5, 0) 2. The figure is reflected across the x-axis and dilated by a scale factor of 3. Type below: Answer: Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. The corresponding angles of triangle ABC and triangle ABC are congruent. Type below: Options: _____________. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Type below: How does the dilation affect angle measures? Question 3. At least one transformation must be a dilation with a scale factor other than 1, Question 6. 0 = 3x 1 coordinates for B Perimeter = 2l + 2w = 2(2) + 2(2) = 8 Answer: Explanation A: More lesson videos. Length of MN, given M(4.5, 6), N(9, 6). Type below: A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). (x, y) -> (1.5x, 1.5y) facial recognition time clock no monthly fee; mower deck spindle replacement No; one figure is not a dilation of the other, Explanation: Mathematics. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. 66`! S0\WbgU`U`6$ &m. 325, Algebraic Representations of Dilations Lesson Check Page No. Answer: a. _____________, Answer: Perimeter = 32 units 2 = 4. Lesson Video 20.2 . 10.2 Algebraic Representations of Dilations. Explain. 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. Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? How can you use dilations to solve real-world problems? horizontally shrinks by a factor of 2/3, Question 12. The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. y = 3x 1 For 711, tell whether one figure is a dilation of the other or not. 21.1 Parallel Lines Cut by a Transversal. What are the coordinates? Multiple Choice Use the diagram below to find the value of x. . Find the angle measures of the actual sign. (1, -1). 2), (3.6)) -> B'(6, 18) 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) Coordinates after dilation How can you find the scale factor of a dilation? _____________, Answer: Easily fill out PDF blank, edit, and sign them. Type below: Dilation Geometry Definition Before you learn how to perform dilations, let's quickly review the definition of dilations in math terms. The blue square is the preimage. 0. Type below: Original perimeter: _________ Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. MN = \(\sqrt{20.25}\) Answer: Then write an algebraic rule to describe the dilation. (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) . A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. (x, y) -> (1.5x, 1.5y) a year ago. Answer: ratio of x-coordinates = 4/2 = 2 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. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. Type below: -4/-2 =2; 4/2 = 2 Multiply each coordinate by the scale . Type below: b. k = \(\frac{3}{4.5}\) C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) coordinates for D (3, 8) 15/5 = 3 mm 13.2LESSON Algebraic Representations of Dilations Preimage (x, y) Image (3x, 3y) (2, 2) (6, 6) Math Talk Mathematical Processes Proportionality 8.3.C Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of . Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. The figure is dilated by a scale factor of 5 and rotated 90 clockwise. The figure is reflected across the x-axis and dilated by a scale factor of 3. hWKo@+{"eA"EmUQF &; q8|y<>&Bad Sketch triangle ABC and ABC for the dilation (x, y) (-2x, 2y). Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. Substituting the value of k _____________. Options: (x, y) (-x, -y) 3a = 15 _____________, Answer: _____________, Answer: d. (x, y) (\(\frac{2}{3}\)x, y) (5, -3), Question 5. a = 5, Question 5. _____________, Answer: Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. (0, -4) Is the crew members calculation correct if the painted replica is to cover the entire backdrop? coordinates for C (-4, 4) (x, y) -> (x, -y) The figure shown on the grid is the preimage. Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. coordinates for A (-4, 0), Question 4. Type below: Describe how the graph of y = x shown at the right is changed through each of the following transformations. _____________, Answer: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . a. If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. (-5, 0) _____________, Answer: c. What are the perimeter and area of the preimage? b. y = \(\frac{1}{3}\)x + 1 length |QR| = |8.75 2.5| = 6.25 inch Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. (-2, 0) Blueprint dimensions: 6.25 in. 90 clockwise rotation, Question 12. Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. The measures of the angles of dilated figures remains the same as the original image. (x, y) -> (x+6, y-3) Page 338: Performance Tasks. _____________, Answer: b. What is the effect on the figure when k > 1? A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). So, to learn maths in the best way, you must refer to Go Math Grade 8 Answer Key. h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' 0 = 2/3 . Filled table is shown in the picture below. 0 = -1/3 . MN/MN = 3/4.5 = 2/3 _____________, Answer: _____________, Answer: (-3, -8) The blueprints are plotted on a coordinate plane. When 0 < k < the dilation is a reduction of the original by the scale k. What k > 1 the dilation is a enlargement of the original by the scale k. Explanation B: Type below: 1. . Jot down . (2, 2) The center of dilation is the origin. House dimensions: 25ft by 15ft, Question 10. Identify the scale factor used in each dilation. figure C 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: The first one is done for you. dilation with a scale factor of 0.5 Since the center of dilation is (0, 0), you can simply divide all . Question 9. (-2, -2), Question 12. c. (x, y) -> (x, -y); (x, y) -> (3x, y) A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) ratio of y-coordinates = -4/-2 = 2, Question 2. (2, -2) a. 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) ________ feet, Question 9. Type below: Graph the image of each figure after a dilation with the origin as its center and the given scale factor. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? C = (-2, -4), C = (-1, -2); A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? (x, y) -> (1.5x, 1.5y) d. a = 15, Explanation: Question 6. Page 337: Study Guide Review: Module 10. So, the corresponding S are congruent. scale factor = 1/2, Question 19. Image perimeter: 32, Explanation: _____________, Answer: Type below: Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. Type below: a. Write the algebraic representation of the dilation shown. After the sequencing of transformations, reflection over the y-axis. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. _____________, Explanation: _____________, Answer: Type below: For enlargements, k > 1. Lesson 2: 20.2 Algebraic Representations of Dilations. I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. Triangle RST has angles measuring 38 and 75. Question 8. MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. A (3, 3) You can use dilations when drawing or designing, Question 1. (5, 5) In this lesson, you will learn multiples of 11. The corresponding angles of triangle ABC and triangle ABC are _______. Play the following video lesson for your class: Dilation in Math: Definition & Meaning. (-7, -4) Type below: (-1, -1), Question 6. Multiply each coordinate of the vertices of rectangle QRST by 125% = \(\frac{125}{100}\) = \(\frac{5}{4}\) to find the vertices of the dilated image. 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. (-1, 1) After the sequencing of transformations, reflection over the y-axis. Section 10.1: Properties of Dilations. Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. _____________, Explanation: Give the coordinates of each vertex of ABC. endstream endobj 135 0 obj <>stream R'(8.75, 2.5), (x, y) -> (1/5x, 1/5y), Question 10. (0, 4) 10/4 = 2.5 b. ALGEBRAIC REPRESENTATIONS OF DILATIONS WORKSHEET Problem 1 : The triangle PQR shown on the grid is the pre-image. 6cm 40 = 240cm If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20.

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