In right triangle ΔΔEFG, mE = 25. In right triangle ΔΔHJK, mH = 25. Which similarity postulate or theorem proves that ΔΔEFG and ΔΔHJK are similar?A.AAB.SASC.HLD.SSS
Question
In right triangle ΔΔEFG, mE = 25. In right triangle ΔΔHJK, mH = 25. Which similarity postulate or theorem proves that ΔΔEFG and ΔΔHJK are similar?A.AAB.SASC.HLD.SSS
Solution
The triangles ΔEFG and ΔHJK are similar by the Angle-Angle (AA) postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In this case, both triangles have a right angle (90 degrees) and an angle of 25 degrees, which makes the two triangles similar.
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