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Which of the following proves these triangles are congruent

Which of the following proves these triangles are congruent-example-1
User Qidong
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1 Answer

7 votes

Answer:

SAA

Explanation:

Identify the corresponding congruent parts as either sides or angles. Look at their order of appearance around the triangle.

Corresponding parts

The sides marked with a single hash mark are identified as corresponding and congruent.

The angles marked with a single arc are identified as corresponding and congruent.

The vertical angles where the lines cross are congruent.

Sequence

Working counterclockwise around the left triangle, we encounter ...

  1. side marked congruent
  2. vertical angles (congruent)
  3. angle marked congruent

These same features appear in the same order working counterclockwise around the triangle on the right.

The "side," "angle," and "angle" are referenced in the congruence postulate as S, A, and A.

Congruence is proved by the SAA congruence postulate.

Which of the following proves these triangles are congruent-example-1
User TheMobDog
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4.6k points