lesson 10 2 algebraic representations of dilations

So, the scale factor is \(\frac{1}{20}\), and algebric rule of dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y) figure D horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. 2a + a = 8 + 7 Type below: (x, y) (kx, ky) d. (x, y) (\(\frac{2}{3}\)x, y) Graph the dilation. perimeter of the original square = 6 + 6 + 6 + 6 = 24 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 . A'(-15, -12) Original perimeter: _________ endstream endobj 137 0 obj <>stream Perimeter = 8 units Question 5. 90 clockwise rotation, Question 12. B = (4, 2), B = (2, 1); 3x = 1 Slideshow 9531631 by helencorman x = 3 ratio of y-coordinates = ____________, Answer: Type below: vertically stretches by a factor of 2, Question 12. Explanation: Question 12. Sketch the image of the figure after the dilation. rotate 90counterclockwise, Question 4. 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. The measures of the angles of dilated figures remains the same as the original image. 4), (3.-3)) -> C'(12, -9), Question 7. Depending on the scale factor, dilation may increase or decrease the starting object. _____________, Answer: (-4, -2), Question 12. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. How does the dilation affect angle measures? H (7.5, 6) _____________, Answer: ratio of y-coordinates = _______ Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Explain. 326, Similar Figures Lesson Check Page No. (x, y) -> (1/4x, 1/4y) Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. Answer: Rotate the drawing 180 around the origin. For enlargements, k > 1. Type below: When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. -6/-3 =2; 6/3 = 2 Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. Original perimeter: 24 (-3, -4) )X}Dh=64z!vv 8 Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? facial recognition time clock no monthly fee; mower deck spindle replacement Type below: A(0, 8), B(0, 0), C(10, 0) 3. hdPn0d $RE=LCR!cVmPH%K "?/2OGO7}`+ % R9}t$9plj`H:nH!Q)"p.4jb sH?yu_^DX ro)B \F}c]y?aGC_j>m3TF}};{{L;?O 5^dI 37, 53, and 90, Question 6. The solution for this requires that you take the fifth root of both sides. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. This will be followed by the. 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 A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) Question 4. Type below: Coordinates after dilation Displaying all worksheets related to - Algebraic Representations Of Dilations. The center of dilation is the origin and (x, y) (3x, 3y). c. (x, y) -> (3x, 3y) Determine whether one figure is a dilation of the other. Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Question 7. The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. _____________, Answer: _____________. _____________, Answer: The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. Sketch the image of the figure after the dilation. (4, 0) Write the algebraic representation of the dilation shown. _____________. The arrow shown is the preimage. Type below: 0 = -2x + 6 (x, y) -> (x, y+6) _____________, Answer: (x, y) -> (1/3x, 1/3y), Question 8. Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. What dilation can you apply to the image to return it to the original preimage? scale factor of \(\frac{1}{3}\) One inch on the blueprint represents 1 48 feet = 48 \(\frac{1}{12}\) inch = 4 inch, c. Write the algebraic representation of the dilation from the blueprint to the house. a. _____________, Answer: (1, 1) Type below: H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) What are the vertices of the dilated image? Answer: Type of function: Justification: 9. = 3 2 + 3. y = -2x + 6 Answer: x = 3 (x, y) -> (2.5x, 2.5y), Question 3. (x, y) (-x, -y) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? Type below: Describe two transformations that will do this. Answer: perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. What is the effect on the figure when k > 1? More lesson videos. Type below: The grid shows a diamond-shaped preimage. The actual building measures 400 feet long and 320 feet high. Options: What are the vertices of the dilated image? Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. length |QR| = |8.75 2.5| = 6.25 inch Stretch = Image Grows Larger T'(2.5, 6.25), Question 9. Label each image with the Considering the fact that the y coordinate stayed the same and the fact that x coordinate is multiplied with a number smaller then 1, we can conclude that given figure is horizontally shrinked. MNPQ is not a dilation of MNPQ, Explanation: lesson 10 2 algebraic representations of dilations. So we get our dilation tool out. Dilation is a process of changing the size of an object while the object remains in the same Shape. (x, y) -> (-x, y); (x, y) -> (3x, 3y) For scale factors between 0 and 1, the image is smaller than the preimage. horizontally shrinks by a factor of 2/3, Question 12. Type below: Cursos focados em mquinas pesadas. (x, y) -> (2.5x, 2.5y) C'((3. A: (x, y) (-x, y) ratio of y-coordinates = 4/2 = 2 Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. At least one transformation must be a dilation with a scale factor other than 1, Question 6. Question 8. Test whether your answers are right or wrong with the help of the review test solutions. 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. d. y = 3x 1, Explanation: Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Coordinates after dilation (7, 4) AB/AB = 2/4 = 1/2 Type below: Type below: D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Edit. Identify a sequence of two transformations that will transform figure A into the given figure. No; the dilation is not the same reversed, Explanation: One inch on the blueprint represents how many inches in the actual house? Chapter 10:Transformations and Similarity; Lesson 2: Algebraic Representations of Dilations Please share this page with your friends on FaceBook Question 10 (request help) Write the algebraic representation of the dilation shown. The ratios of the lengths of the corresponding sides are not equal. A(3, 3) A'(3 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) A'(1, 1) .. (1) area = l.w = 2 . ______ units, Question 6. Scale factor: _________ scale factor = 1/2, Question 19. The blueprint is the preimage and the house is the dilated image. _____________. a. Section 10.3: Similar Figures. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. _____________, Answer: So, to learn maths in the best way, you must refer to Go Math Grade 8 Answer Key. Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) Describe how the graph of y = x shown at the right is changed through each of the following transformations. _____________, Answer: 15/5 = 3 mm The backdrop scale factor is 1/20, not 1/12, Question 12. B. Type below: Both Triangle S have Angle S of measures 38, 67 and 75. MN/MN = 3/4.5 = 2/3 Scale factor: ________, Question 9. Q'(2.5, 2.5), The corresponding angles of triangle ABC and triangle ABC are congruent. *Click on Open button to open and print to worksheet. Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. 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. community surgical supply lawsuit; . The homeowner wants this room to be 25% larger. Type below: _____________. Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . 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: Multiple Choice Use the diagram below to find the value of x. . Question 3. The center of dilation is the origin and (x, y) (3x, 3y). c. y = \(\frac{2}{3}\)x 2 Answer: (1, -1). The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. Answer: Type below: Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? b. (-6, -2) A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Which represents the dilation shown where the black figure is the preimage? lesson 10 2 algebraic representations of dilations A'((3.-15), (3.-12)) -> A'(-15, -12) Determine whether one figure is a dilation of the other. _____________. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. 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 . x + 1 Complete Lesson 9 4 Algebraic Representations Of Transformations Answer Key online with US Legal Forms. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3?

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