Question

Determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!! ​

Answer 1

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Answer:

1. SAS
2. not
3. SSS
4. AAS

Explanation:

Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...

SSS SAS AAS ASA (and HL for right triangles--not applicable here)

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1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.

2. only one side and angle are marked. Insufficient information. Not congruent.

3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.

4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.