McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
3. Similar Triangles
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Exercise 55 Page 569

Not possible.

Practice makes perfect
Let's begin with recalling the Side-Angle-Side Congruence Postulate. If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Now, let's look at the given picture.

We are given that one angle is congruent but we know nothing about the sides that include this angle. Therefore, it is not possible to prove congruence in this case.