54.0k views
1 vote
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
by
8.3k points

2 Answers

2 votes

Answer: Congreuent sas

Explanation:

User Yankes
by
8.4k points
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
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories