6.2(a) Notes: Congruent Triangles   Lesson Objective: Name and use corresponding parts of congruent polygons. CCSS: G.CO.7, G.SRT.5 You will need: CPR, colored pens Real-World App: Which wrench socket should Sareeta use? This is Jeopardy!!!: This is the measure of the third angle of a triangle if the other two angles measure 60° and 35°.  

 

Lesson 1: Definition of Congruent Polygons Draw AC = 3.5”. 3.5” A 3.5” C

Lesson 1: Definition of Congruent Polygons Draw scalene ∆ABC with m/ A = 60° and m/ C = 35°. 3.5” 60° 35° A 3.5” C

Lesson 1: Definition of Congruent Polygons Measure / B and all side lengths and label the triangle ∆ABC. 3.5” B 60° 35° A 3.5” C

Lesson 1: Definition of Congruent Polygons Measure / B and all side lengths and label the triangle ∆ABC. 3.5” B 2” 85° 3” 60° 35° A 3.5” C

Lesson 1: Definition of Congruent Polygons Construct ∆HJK congruent to ∆ABC, this time using the side lengths. 3.5” 3” 2” H 3.5” K

Lesson 1: Definition of Congruent Polygons Measure and label the angles. 3.5” 3” J 2” 2” 3” H 3.5” K

Lesson 1: Definition of Congruent Polygons J 2” 85° 3” 60° 35° H 3.5” K Congruent polygons: All cor­respon­ding an-gles and corresponding sides of 2 polygons are congruent.

Lesson 1: Definition of Congruent Polygons List the corres- List the corres- ponding angles: ponding sides: / A AB / B BC / C J CA 2” 85° 3” 60° 35° H 3.5” K Congruence Statement: ∆ABC ∆HJK

Lesson 2: Identifying Corresponding Congruent Parts Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write a congruence statement. a.

Lesson 2: Identifying Corresponding Congruent Parts Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write a congruence statement. b.

Lesson 3: Use Corresponding Parts of Congruent Triangles a. In the diagram, ∆RSV ∆TVS. Find the values of x and y.

Lesson 3: Use Corresponding Parts of Congruent Triangles b. In the diagram, ∆ABC ∆DEF. Find the values of x and y.

6.2(a): Do I Get It? Yes or No 1. Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write a congruence statement.

6.2(a): Do I Get It? Continued 2. In the diagram, ∆ABC ∆DFE. Find the values of x and y.