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

ATrue
BFalse

(Picture below.)

Based only on the information given in the diagram, it is guaranteed that JKL WXY. A. True B. False (Picture below.) class=

Verified Answer :

MissPhiladelphia

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.

calculista

Answer:

Option A True

Step-by-step 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)

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