Triangle Congruence: SAS Postulate and SSS Postulate Answers

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Complete the proof.Given: and bisect each other. Prove: Statements: Reasons: 1. bisects 1. Given 2. 2. Segment bisector 3. 3. Segment bisector 4. 4. 5. 5.

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A
4. 4. Vertical angles 5. 5. SAS
B
4. 4. Alternate interior angles are congruent 5. 5. Definition of congruent triangles
C
4. 4. Opposite vertical angles 5. 5. SSS
D
4. 4. Vertical angles 5. 5. ASA
9

Complete the proof. Given: Prove: Statement: Reason: 1. 1. Given 2. 2. 3. 3. Reflexive property of congruence 4. 4. SSS

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A
2. ; 2. Given
B
2. ; 2. Transitive property of congruence
C
2. ; 2. All right angles are congruent
D
2. ; 2. SAS
10

Analyze the diagram below and answer the question that follows. Is ? If so, name the postulate or theorem that justifies the congruence.

Question illustration
A
Yes, the triangles are congruent by SSA.
B
Yes, the triangles are congruent by SAS.
C
Yes, the triangles are congruent by SSS.
D
No, the triangles cannot be proven congruent with SSA information.

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