5. Similar Triangles and Indirect Measurement
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Are the Triangles Similar? Yes
Similarity Statement: â–³ DAF ~ â–³ BAC
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. â–³ DAF ~ â–³ BAC