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. • 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. • 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. • 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. • 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. 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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