1. Course 1 8-9 Congruence 8-9 Congruence Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

2. Course 1 8-9 Congruence Warm Up Solve. 1. - 2. 3  2 Course 1 8-9 Congruence 3434 1313 5 12 1212 2323 1313 6

3. Course 1 8-9 Congruence Problem of the Day The sum of two decimals is 9.3; their difference is 4.3, and their product is 17.00. What are they? 2.5, 6.8

4. Course 1 8-9 Congruence Learn to identify congruent figures and to use congruence to solve problems.

5. Course 1 8-9 Congruence Additional Example 1A: Identifying Congruent Figures These figures do not have the same shape and they are not the same size. These figures are not congruent. Decide whether the figures in each pair are congruent. If not, explain.

6. Course 1 8-9 Congruence Additional Example 1B: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. These figures have the same shape and size. These figures are congruent.

7. Course 1 8-9 Congruence Additional Example 1C: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. Each figure is a trapezoid. The corresponding sides are 5.7 in., 7.5 in., 5 in., and 10 in. These figures are congruent.

8. Course 1 8-9 Congruence Additional Example 1D: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. Each figure is a rectangle. Each short side of each rectangle measures 4 cm. Each long side of each rectangle measures 9 cm. These figures are congruent.

9. Course 1 8-9 Congruence Check It Out: Example 1A Decide whether the figures in each pair are congruent. If not, explain. These figures do not have the same shape and they are not the same size. These figures are not congruent.

10. Course 1 8-9 Congruence Check It Out: Example 1B Decide whether the figures in each pair are congruent. If not, explain. These figures have the same shape and size. These figures are congruent.

11. Course 1 8-9 Congruence Check It Out: Example 1C Decide whether the figures in each pair are congruent. If not, explain. Each figure is a triangle. The corresponding sides are 3 cm, 4 cm, and 5 cm. These figures are congruent. 3 cm 4 cm 5 cm

12. Course 1 8-9 Congruence Check It Out: Example 1D Decide whether the figures in each pair are congruent. If not, explain. Each figure is a rectangle. Each short side of each rectangle measures 5 in. Each long side of each rectangle measures 12 in. These figures are congruent. 12 in. 5 in.

13. Course 1 8-9 Congruence Additional Example 2: Consumer Application Jodi needs a sleeping pad that is congruent to her sleeping bag. Which sleeping pad should she buy? Both sleeping pads are trapezoids. Only sleeping pad B is the same size as the sleeping bag. Which sleeping pad is the same size and shape as the sleeping bag? Sleeping pad B is congruent to the sleeping bag.

14. Course 1 8-9 Congruence Check It Out: Example 2 Tomi needs a frame that is congruent to her flag. Which frame should she buy? Both frames are triangles. Only Frame B is the same size as the flag. Which frame is the same size and shape as the flag? Frame B is congruent to the flag. 11.2 in. 7.8 in. 4 in. 10 in. 11.2 in. 7.8 in. 9.2 in. 4 in. Flag Frame A Frame B

15. Course 1 8-9 Congruence Lesson Quiz True or false? 1. If two figures have sides of the same length, they are congruent. 2. Congruent figures have angle measures that are equal. 3. Decide whether the figures are congruent. If not, explain. true false No, both are quadrilaterals but they are not the same size or shape.