Question

Math

Posted 5 months ago

```
Consider the two triangles shown below.
Note: The triangles are not drawn to scale.
Are the two triangles congruent?
Choose 1 answer:
(A) Yes
(B) No
(c) There is not enough information to say.
```

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Answer from Sia

Posted 5 months ago

Solution by Steps

step 2

The given triangles have two sides and the included angle between them known, which suggests using the SAS (Side-Angle-Side) congruence postulate

step 3

Both triangles have two sides of length 7 and 5, and both have an included angle of 117 degrees

step 4

According to the SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent

step 5

Since both triangles satisfy the SAS postulate, they are congruent

A

Key Concept

SAS Congruence Postulate

Explanation

Two triangles are congruent if two sides and the included angle of one triangle are exactly equal to two sides and the included angle of the other triangle.

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