1. Objectives:  To identify congruent polygons and their corresponding parts  To use congruent polygons to determine missing measures

2. Congruent figures have the same size and shape.

3. Two polygons are congruent if and only if:  ALL their corresponding angles are congruent AND  ALL their corresponding sides are congruent A CORRESPONDENCE is a matching up of the segments and angles of one polygon with the segments and angles of another polygon.

4.  Determine if the two polygons below are similar. Explain.  Match the correspondence to write a congruence statement: It is easier to determine correspondence between angles. ABCD ≡ EFGH

5. ALL Corresponding Angles ≡ ALL Corresponding Sides ≡

6. E 3 B 4 2 D 1 C 4 3 A Decide whether the triangles are congruent. Justify your answers. StatementReason 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 7. Think: What two conditions MUST be met to show the ∆s congruent?

7. StatementReason 1. AC ≡ EC 2. AB ≡ ED 3. BC ≡ DC 4. <A ≡ <E 5. <B ≡ <D 6. <1 ≡ <2 7. 1. Given. 2. Given. 3. Given. 4. Given. 5. All rt. ≡ 6. Vert. ≡ 7. Def. of ≡ Polygons

8. Using Congruent Polygons to Determine Missing Measures Find the missing measures, given ∆ DOG ≡ ∆ HSE : H D 60 7 8 E 40 G O S 10

9. Homework Assignment: Congruent Polygons WS, plus select problems from textbook: