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1 vote
Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY.

A. True
B. False

(Picture below.)

Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY-example-1
User Ocuenca
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2 Answers

3 votes
It is an absolutely true statement that based only on the information given in the diagram, it is guaranteed that JKL ~ WXY. The correct option among the two options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.
User Fiona Hopkins
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7.1k points
4 votes

Answer:

Option A True

Explanation:

we know that

The sum of the internal angles of the triangle is equal to
180\°

In the triangle JKL

m∠L=
180\°-90\°-27\°=63\°

so

The measurements of the angles of triangle JKL are
27\°-90\°-63\°

In the triangle WXY

m∠W=
180\°-90\°-63\°=27\°

so

The measurements of the angles of triangle WXY are
27\°-90\°-63\°

therefore

Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)

User Justin Force
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7.1k points