Sia
Question
Math
Posted 10 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 10 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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