**8.2 Independent Practice** Rectangle EFGH is graphed on a coordinate plane with vertices at: - E(-3, 5) - F(6, 2) - G(4, -4) - H(-5, -1) **a.** Find the slopes of each side. **b.** What do you notice about the slopes of opposite sides? **c.** What do you notice about the slopes of adjacent sides? --- A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist’s average rate of speed in miles per hour? **Diagram Explanation:** - The bicyclist travels from 8:00 A.M. to 8:18 A.M. covering 4.5 miles. - The diagram then shows that from 8:18 A.M. to 8:42 A.M., the distance covered is 7.5 miles. *Note:* The average speed calculated is 6 mph. --- **Multistep:** A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**8.2 Independent Practice**

Rectangle EFGH is graphed on a coordinate plane with vertices at:
- E(-3, 5)
- F(6, 2)
- G(4, -4)
- H(-5, -1)

**a.** Find the slopes of each side.

**b.** What do you notice about the slopes of opposite sides?

**c.** What do you notice about the slopes of adjacent sides?

---

A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist’s average rate of speed in miles per hour?

**Diagram Explanation:**
- The bicyclist travels from 8:00 A.M. to 8:18 A.M. covering 4.5 miles.
- The diagram then shows that from 8:18 A.M. to 8:42 A.M., the distance covered is 7.5 miles.

*Note:* The average speed calculated is 6 mph.

---

**Multistep:** A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
Transcribed Image Text:**8.2 Independent Practice** Rectangle EFGH is graphed on a coordinate plane with vertices at: - E(-3, 5) - F(6, 2) - G(4, -4) - H(-5, -1) **a.** Find the slopes of each side. **b.** What do you notice about the slopes of opposite sides? **c.** What do you notice about the slopes of adjacent sides? --- A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist’s average rate of speed in miles per hour? **Diagram Explanation:** - The bicyclist travels from 8:00 A.M. to 8:18 A.M. covering 4.5 miles. - The diagram then shows that from 8:18 A.M. to 8:42 A.M., the distance covered is 7.5 miles. *Note:* The average speed calculated is 6 mph. --- **Multistep:** A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
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