CHAPTER 4: CONGRUENT TRIANGLES

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Presentation transcript:

CHAPTER 4: CONGRUENT TRIANGLES Section 4-2: Some Ways to Prove Triangles Congruent

TRIANGLE CONGRUENCE When two triangles are congruent, the six parts of one triangle are congruent to the six corresponding parts of the other triangle. There are ways to prove triangles congruent by comparing only three pairs of corresponding parts, which is the focus of this section.

POSTULATE 12: SSS POSTULATE If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. 5 5 3 3 4 4

POSTULATE 13: SAS POSTULATE If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. 65 14 6 6 14 65

POSTULATE 14: ASA POSTULATE If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. 35 35 7 7

PRACTICE Triangles are congruent by SSS. Triangles are not congruent. Decide whether you can deduce by SSS, SAS, or ASA Postulate that the two triangles are congruent. Triangles are congruent by SSS. Triangles are not congruent. Triangles are congruent by SAS.

CLASSWORK/HOMEWORK Classwork: Pg. 123-124 Classroom Exercises 1-10 Homework: Pg. 124-125 Written Exercises 1-16