1. Chapter 4, Section 3 Congruent Triangles

2. Corresponding Parts of Congruent Triangles Congruent triangles have the same _____________ and ______________. “Corresponding parts” of triangles refers to the _______________________________ and ______________________________. size shape sides that match in length angles that match in degree measure

3. Corresponding Parts of Congruent Triangles These are congruent triangles. When writing a congruence statement, you must ________________________________!! _________________---ORDER MATTERS!! A B CX Y Z Match up the corresponding parts

4. Definition of Congruent Triangles Triangles whose corresponding parts are congruent. CPCTC: Corresponding Parts of Congruent Triangles are Congruent Example #1: The two triangles are congruent. –Name all the congruent angles: _______ _______ _______ _______ _______ _______ –Name all the congruent sides: _______ _______ _______ _______ _______ _______ D R K M W S

5. Congruence Transformations— rotating, flipping, or moving a shape In the picture,. Even if you turn, flip, or slide, does not change its size or shape. Therefore, no matter how you move the triangles, they are still _____________________. congruent Z A C Y B X

6. Example 1: Given that list all of the congruent corresponding parts.

7. Example 2: Give that, find the value of all the variables. D X G Z Y 8x+19y+1 62 o 6y+7

8. Example 3: The vertices of RST are R(-3, 0), S(-1, 5), and T(1, -1), and the vertices of MNP are at M(3, 0), N(-1, -1), and P(1, -5). Is ST=_______ RS=_______ RT=_______ MN=_______ NP=_______ MP=_______