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6-2: Proving 6-2: Proving Congruence using Congruence using congruent parts congruent parts Unit 6 Unit 6 English Casbarro English Casbarro

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

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Page 1: 6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

6-2: Proving Congruence 6-2: Proving Congruence using congruent partsusing congruent parts

6-2: Proving Congruence 6-2: Proving Congruence using congruent partsusing congruent parts

Unit 6Unit 6English CasbarroEnglish Casbarro

Page 2: 6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

Congruent Figures

Naming figures must be done correctly, so that you can write accurate congruence statements.

Page 3: 6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

If you are trying to determine if two triangles are congruent, you will compare the angles and the sides. If all pairs of anglesare congruent and all pairs of sides are congruent, then the triangles are congruent to each other.

Page 4: 6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

Postulate shortcuts to Proving Congruence of Triangles

SSSif the three sides of one triangle are congruent to the three sides of another triangle, the triangles are congruent.

SASif 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

Page 5: 6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

Postulate shortcuts to Proving Congruence of Triangles

ASAif two angles and the included side of one triangle are congruent to two angles and the included side of another triangle the triangles are congruent.

AASif two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

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CPCTC: Corresponding parts of Congruent Triangles are Congruent

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Turn in the following problems1.

2.