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

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)