Question

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

A. True
B. False

(Picture below.)

Answer 1

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.

Answer 2

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)