Digits, Grade 8, Volume 2, Homework Helper

10-1: TEKS Practice

  • 1. What is the scale factor for the dilation shown?

    A graph of rectangles DEFG and D´E´F´G´.

  • 2. ΔRST has vertices R(0,0), S(4,2), and T(2,−2). ΔRST′ is the image of ΔRST after a dilation with center (0,0) and scale factor 1 half . What are the coordinates of point S′?

  • 3. The coordinates of ΔLMN are L(1,3), M(3,7), and N(5,5). Draw a graph showing ΔLMN and the image of ΔLMN for the dilation with center (0,0) and scale factor 1 half .

  • 4. Writing ΔKLM has vertices K(1,3), L(3,7), and M(7,5). Draw a graph showing ΔKLM and ΔKLM′, its image after a dilation with center K and scale factor 2.

  • 5. Reasoning Draw a graph showing ΔDEF′, the image of ΔDEF after a dilation.

    A graph of triangle DEF with vertices D(1, 1), E(2, 0), and F(1, 4).

  • 6. Error Analysis For the dilation with center (0,0) shown on the graph, your friend says the scale factor is 7 halves .

    A graph of triangles ABC and A´B´C´.

    • a. What is the correct scale factor?

    • b. What mistake did your friend likely make?

      • A. Your friend found the ratio between two sides of the original triangle.

      • B. Your friend found the ratio between two sides of the image triangle.

      • C. Your friend found the scale factor that enlarges ΔABC′ to ΔABC.

      • D. Your friend found the ratio between non-corresponding sides.

  • 7. Photography A photographer uses a computer program to enlarge a photograph. When laid on a grid, the original photograph has coordinates P(0,0), H(12,0), O(12,8), and T(0,8). Draw a graph showing rectangles PHOT and PHOT′, its image after a dilation with center at the origin and scale factor 11 over 4 .

  • 8. Rectangle QUAD has coordinates Q(5,4), U(5,8), A(10,8), and D(10,4). QUAD′ is the image of QUAD after a dilation with center (0,0) and scale factor 2. What are the coordinates of point D′?


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Table of Contents

Digits, Grade 8, Volume 2, Homework Helper Unit D: Two-Dimensional Shapes Unit E: Measurement and Data Unit F: Personal Financial Literacy Unit G: Step-Up Lessons English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties