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4.1 Apply Congruence and Triangles 4.2 Prove Triangles Congruent by SSS, SAS. Objectives: To define congruent triangles To write a congruent statement To prove triangles congruent by SSS, SAS. Congruent Polygons. Congruent Triangles (CPCTC). - PowerPoint PPT Presentation
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4.1 Apply Congruence and Triangles4.2 Prove Triangles Congruent by SSS, SAS
Objectives:1. To define congruent triangles2. To write a congruent statement3. To prove triangles congruent by SSS,
SAS
Congruent Triangles (CPCTC)
Two triangles are congruent congruent triangles triangles if and only if the ccorresponding pparts of those ccongruent ttriangles are ccongruent.
Third Angle Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
Congruent Triangles
Checking to see if 3 pairs of corresponding sides are congruent and then to see if 3 pairs of corresponding angles are congruent makes a total of SIX pairs of things, which is a lot! Surely there’s a shorter way!
Side-Side-Side Congruence Postulate
SSS Congruence Postulate:SSS Congruence Postulate:If the three sides of one triangle are
congruent to the three sides of another triangle, then the two triangles are congruent.
Congruence Shortcuts
Side-Angle-Side (SAS) Congruence Side-Angle-Side (SAS) Congruence Postulate: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 two triangles are congruent.