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Is triangle RST is congruent to triangle XYZ? If so,name the postulate that applies.

Is triangle RST is congruent to triangle XYZ? If so,name the postulate that applies-example-1
User Sixthpoint
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2 Answers

2 votes

Answer: Congreuent sas

Explanation:

User Yankes
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3 votes

Answer: The correct option is (B) Congruent - SAS.

Step-by-step explanation: We are given to check whether triangle RST is congruent to the triangle XYZ.

If so, we are to state the postulate.

Given that, in ΔRST and ΔXYZ, we have

RS ≅ XY

ST ≅ YZ

and

∠S ≅ ∠Y.

That is, two sides and the angle between them of ΔRST are congruent to the corresponding two sides and the angle between them of ΔXYZ.

So, by SAS (side-angle-side) postulate, we get

ΔRST ≅ ΔXYZ.

Therefore,

the given triangles are congruent by SAS postulate.

Option (B) is CORRECT.

User Ishaaq
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7.9k points