Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.

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Presentation transcript:

Chapter 9, Section 5 Congruence

To be congruent: –corresponding parts (sides/ angles) have the same measure.

Congruency Statements A BC P T R 1. Corresponds to 2. Corresponds to 3. Corresponds to 4. Corresponds to 5. Corresponds to 6. Corresponds to

3 Important Rules There are 3 ways to prove that triangles are congruent: Don’t forget… CONGRUENT means EQUAL!!!

Rule #1: SSS SIDE SIDE SIDE IF ALL 3 SIDES ARE THE SAME, THE TRIANGLES ARE CONGRUENT

Rule #2: SAS SIDE ANGLE SIDE IF THE TRIANGLES HAVE A COMMON ANGLE BETWEEN 2 SIDES OF THE SAME LENGTH, THE TRIANGLES ARE CONGRUENT

Rule #3: ASA ANGLE SIDE ANGLE 88 IF THE TRIANGLES HAVE A COMMON SIDE BETWEEN 2 ANGLES OF THE SAME MEASURE, THE TRIANGLES ARE CONGRUENT

MH GSA R Given that, complete the following. Part 1: Corresponding Parts:

A B C D E 1.________________ ________________ ________________ ________________by_________ ANGLE SIDE ANGLE THIS SHOWS CONGRUENCE Part 2: Congruency Statements List the congruent corresponding parts And write a congruence statement and reason for the triangles

J K L M 10.________________ ________________ ________________ ________________by_________ SIDE THIS SHOWS CONGRUENCE

Given that ; complete the following H P K T B E W L

Explain why the pair of triangles is congruent. Then, find the missing measures. 17. C A B P R Q y x These are congruent Triangles because of Angle Side Angle (ASA) ANGLE SIDE ANGLE