Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
5. Similar Triangles and Indirect Measurement
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Exercise 2 Page 557

Both triangles share ∠ A. Remember, every angle is congruent to itself.

Are the Triangles Similar? Yes
Similarity Statement: △ DAF ~ △ BAC

Practice makes perfect

We are asked to determine whether the given triangles are similar.

Notice that ∠ A is shared by both triangles. Remember, every angle is congruent to itself.

Also, both ∠ D and ∠ B have the same measure. This means that ∠ D and ∠ B are congruent.

As we can see, two angles of one triangle are congruent to two angles of the other triangle. By the rule for Angle-Angle (AA) Similarity, the triangles are similar. △ DAF ~ △ BAC