lesson 10 2 algebraic representations of dilations

Classify each as such and justify your reasoning. Find the angle measures of the actual sign. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. How does the dilation affect the length of line segments? Describe the transformations that will transform the image back into the original figure. (x, y) (y, -x) Depending on the scale factor, dilation may increase or decrease the starting object. Type below: 4. After dilation: B'(6, 18) What are the coordinates? Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. _____________, Answer: B'((3. _____________, Answer: Explanation: All the explanations are given by the best online maths experts. Answer: Write the algebraic representation of the dilation shown. Type below: 4), (3.-3)) -> C'(12, -9), Question 7. Type below: _____________, Answer: _____________, Explanation: Mod 20-2.mp4. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. e. (x, y) (0.5x, 1.5y) At least one transformation must be a dilation with a scale factor other than 1, Question 6. 8th Grade Texas Mathematics: Unpacked Content 5. coordinates for B Highlight key terms and topics. e. What are the dimensions of the new room, in inches, on the blueprint? ________. ! " Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. $JTdDP~~@ x Displaying all worksheets related to - Algebraic Representation Of Dialation. c. a = 5 C = (-2, -4), C = (-1, -2); Some dilations are enlargements. Dilate each figure with the origin as the center of dilation. _____________, Answer: ratio of x-coordinates = -2/-1 = 2 C: (x, y) (x 5, y 6) Type below: The triangle ABC shown on the grid is the pre-image. Lesson 16 - Combining Dilations (Notes, Key) 10. (5, -3), Question 5. coordinates for D Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. Perimeter = 2l + 2w = 2(2) + 2(2) = 8 ratio of y-coordinates = 2, Explanation: Divide a side length of the dilated figure by the corresponding side length of the original figure. Is the crew members calculation correct if the painted replica is to cover the entire backdrop? You can use dilations when drawing or designing, Question 1. 2x = 6 Explanation: (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y), Question 6. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: h2S0PP02]KsSJ Tu! ______ units, Question 6. 2 Perrino 2011-11-28 The Practice of Perioperative Transesophageal Echocardiography provides over 100 teaching cases ranging from the most common to the most challenging. The scale factor of the dilation is 2. _____________. Two triangles, Triangle 1 and Triangle 2, are similar. 15/5 = 3 mm Try keep it short so that it is easy for people to scan your page. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). k = $\frac{3}{4.5}$ Options: Answer: 326, Similar Figures Lesson Check Page No. (x, y) -> (x, y+6) Options: c. Write the algebraic representation of the dilation from the blueprint to the house. (x, y) -> (-x, y); (x, y) -> (x, 3y) Explanation: 1. . (0, 1) a. MN/MN = 3/4.5 = 2/3 A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Question 6. Type below: Answer: _____________, Answer: Question 3. Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. Then write an algebraic rule to describe the dilation. _____________. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) C (7.5, 6) (-4, 3) 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: Type below: Sketch triangle ABC and ABC for the dilation (x, y) (-2x, 2y). a year ago. Answer: _____________, Answer: $\frac{-\frac{1}{2}}{-2}=\frac{\frac{1}{2}}{2}=\frac{1}{4}$ -a + 7 = 2a 8 Transformations (including Dilations): 16.1 And 16.2 - Quizlet. 2a + a = 8 + 7 What are the vertices of the image? b. rotate 90counterclockwise, Question 4. Perimeter = 2l + 2w = 2(2) + 2(2) = 8 A. Which represents the dilation shown where the black figure is the preimage? C'(12, -9), Explanation: After the sequencing of transformations, reflection over the y-axis. Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Answer: This will be followed by the. height: |QT| = |6.25 2.5| = 3.75 inch Area = ________ square units, Answer: horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. T'(2.5, 6.25), Question 9. The sides are proportional. Represent Real-World Problems The blueprints for a new house are scaled so that $\frac{1}{4}$ inch equals 1 foot. Type below: Scale factor: _________ (1, -1). _____________, Answer: b. Question 7. (1, -1). a. x = 3 endstream endobj 133 0 obj <>stream Type below: Answer: CorrectionKey=B Transformations and Similarity MODULE 10 3. Question 4. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. View this Page Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. 325, Algebraic Representations of Dilations Lesson Check Page No. The business owner wants it to remain on the left after the hypotenuse goes to the top. c. (x, y) (x, 2y) The TEKS targeted in these notes are: 8.10(A) generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two dimensional shapes on a coordinate plane 8.10(B) differentiate between transformations that preserve congruence and those that do not 8.10(C) explain the effect of . (-2, 0) Type below: _____________. (x, y) (0.5x, 1.5y) What is the length of a side of the image? d. What are the perimeter and area of the image? Type below: Question 2. (3, 2), (1, 2), (3, 1), (1, 1) Cursos focados em mquinas pesadas. (x, y) -> (1.5x, 1.5y) View this Page Math 7 Accelerated - Computech Mathematics https://darthmuster.com/math-7-accelerated/ Transformation and Similarity, 20.1 Properties of Dilations 20.2 Algebraic Representations of Dilations 20.3 Similar Figures. What is the algebraic representation of this dilation? Find the scale factor and the perimeter of each square. The figure shown on the grid is the preimage. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. Coordinates after dilation (x, y) (y, -x) (2x, 2y) 5. _____________, Answer: b. y = $\frac{1}{3}$x + 1 _____________, Answer: d. y = 3x 1, Explanation: Dilate each figure with the origin as the center of dilation. (0, 4) Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Type below: The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. For scale factors between 0 and 1, the image is smaller than the preimage. -4/-2 =2; 4/2 = 2 B: Rotate the square 180 around the origin. Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. 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) What is the effect of a negative scale factor? ratio of y-coordinates = 2/1 = 2 c. What are the perimeter and area of the preimage? A (3, 3) When k is greater than 1, the dilation is an enlargement by the scale factor k. Texas Go Math Grade 8 Lesson 13.2 Independent Practice Answer Key, Question 5. x + 1 What is the scale factor in terms of inches to inches? ratio of x-coordinates = 2 Since the center of dilation is (0, 0), you can simply divide all . (-2.5, 2.5) x + 1 A stage crew member writes (x, y) ($\frac{1}{12}$x, $\frac{1}{12}$y) to represent the dilation. 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. A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. A. b. a. b. a = $\frac{1}{3}$ Type below: The grid shows a diamond-shaped preimage. A(8, 0) A' . Type below: lesson 10 2 algebraic representations of dilations 1/3x = 1 a. _____________. The corresponding angles of triangle ABC and triangle ABC are congruent. Properties of Dilations Lesson Check Page No. a year ago. 3x = 1 horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. Question 2. b. area = l.w = 2 . (-3, -4) D. Sketch the image after the dilation on the coordinate grid. Question 4. Type below: _____________, Answer: (0, -4) The best learning comes with the best learning guide. Area = 4 square units, Explanation: e. What are the dimensions of the new room, in inches, on the blueprint? Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. B'((3. _____________, Answer: 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 (x, y) -> (1/3x, 1/3y), Question 8. 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. _____________. 'LODWLRQV3UDFWLFH 6. Original perimeter: 16 The blue square is the preimage. 3a = 15 Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. 0 = 3x 1 The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). y = -2x + 6 The coordinates of the vertices of the original image are multiplied by 2 for the green square. What is the algebraic representation of this dilation? (Explore Activities 1 and 2) Type below: Triangle XYZ has angles measuring 54 and 29. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. (-6, 1), Question 13. G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) (x, y) (y, -x) The image is congruent to the original figure. 10/4 = 2.5 _____________, Question 12. Scale factor = 2 Label each image with the Question 1. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). What are the coordinates of the new room? (-1, -1) Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 Question 16. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. ratio of y-coordinates = ____________, Answer: 146 practice pages that can be used as year-long:Cool-downs or homeworkUnit 1 - 14 lessonsUnit 2 - 22 lessons Unit 3 - 29 lessonsUnit 4 - 23 lessonsUnit 5 - 14 lessonsUnit 6 - 17 lessonsUnit 7 - 17 lessonsUnit 8 - 10 lessons38 AssessmentsUnit 1 . y = -1/3 . Coordinates after dilation The angle measures are the same ________. Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. 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. Save or instantly send your ready documents. (-6, -2) C: (x, y) (x 5, y 6) What is the effect on the figure when k > 1? by 3.75 in. You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 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 _______. (-7, -8) The figure is reflected across the y-axis and dilated by a scale factor of 4. Original perimeter: 24 Original perimeter: _________ ________ feet, Question 9. During the video lesson have students: Take notes on the material. letter of the transformation applied. Find the scale factor and the perimeter of each square. coordinates for D 20.2 Algebraic Representations of Dilations. Sketch the image of the figure after the dilation. c. y = $\frac{2}{3}$x 2 (x, y) -> (2.5x, 2.5y), Question 3. 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 . 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 S'(8.75, 6.25), H (7.5, 6) The backdrop scale factor is 1/20, not 1/12, Question 12. Write the coordinates of the vertices of the preimage in the first column of the table. Answer: Identify the scale factor used in each dilation. a. Type below: 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. d = $\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ b. a = $\frac{1}{3}$ Thus, the dilation has no effects on the measures of the angles of the image. _____________, Answer: rotate 90counterclockwise, Question 4.

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