Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information will prove that the two triangles are similar?

Question

Mathematics

Demetrius French

14 April, 12:13

Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information will prove that the two triangles are similar?

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Bean · Answer 1

The other information that will prove that the two triangles are similar is: The angle I is congruent to the angle L.

The explanation is shown below:

The AA Similarity Postulate (or Angle-Angle Similarity Postulate) states that two triangles are similar when two angles of a triangle are congruent to two angles of the other triangle. Therefore, if the angle H is congruent to angle K, the angle I must be congruent to the angle L to prove that both triangles are similar.