Digits, Grade 8, Volume 2, Homework Helper

10-3: TEKS Practice

  • 1.  

    • a. Draw a triangle that is the image of the given triangle after dilation with center (0, −5) and a scale factor of 3.

      A slope triangle with vertices (0, −5), (4, −5), and (4, 4).

    • b. What is the ratio of the rise to the run of the given triangle and the image triangle?

    • c. How do the ratios compare?

      • A. The ratios of the rise to the run of the two triangles are the same.

      • B. The ratio of the rise to the run of the image triangle is 3 times the ratio of the given triangle.

      • C. The ratio of the rise to the run of the given triangle is 3 times the ratio of the image triangle.

  • 2. The slope of the given line is 1 fifth . One slope triangle is shown. Another slope triangle with a ratio of the rise to the run of 1 fifth has vertices at (0, 0) and (5, 0). Find the coordinates of the third vertex.

    A slope triangle with vertices (0, 0), (10, 0), and (10, 2).

  • 3.  

    • a. Draw a triangle that is the image of the given triangle after dilation with center (−1, 0) and a scale factor of 2.

      A slope triangle with vertices (−1, 0), (3, 0), and (3, 2).

    • b. Look at the ratio of the rise to the run of each triangle. How do the ratios compare?

    • c. Draw a triangle with the same ratio of the rise to the run with center (0, 0).

  • 4.  

    • a. Writing Draw a triangle that is the image of the given triangle after dilation with center (2, 1) and a scale factor of 3.

      A slope triangle with vertices (2, 1), (5, 1), and (5, 6).

    • b. What is the ratio of the rise to the run of the given triangle and the image triangle?

  • 5. Error Analysis Your friend incorrectly says that the image of the given triangle after a dilation with center (0, 0) and a scale factor of 1 half has a ratio of the rise to the run of 2.

    A slope triangle with vertices (0, 0), (6, 0), and (6, 3).

    • a. Draw a graph that shows the image of the given triangle.

    • b. What is the correct ratio of the rise to the run?

    • c. What mistake did your friend make?


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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