1. 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°.  

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

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

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

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

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

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

9. Lesson 1: Definition of Congruent PolygonsJ
2” 85° ”
60° °
H ” K
Congruent polygons: All cor­respon­ding an-gles and corresponding sides of 2 polygons are congruent.

10. 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° ”
60° °
H ” K
Congruence Statement: ∆ABC ∆HJK

11. 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.

12. 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.

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

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

15. 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.

16. 6.2(a): Do I Get It? Continued
2. In the diagram, ∆ABC ∆DFE. Find the values of x and y.