Similarity of Triangles by AA criteria:
Corollary If two angles of a triangle are respectively equal to two angles of another triangle, then two triangles are similar. Given In
To Prove : Proof: As in
From Angle Sum Property we can prove that if two angles of one triangle is equal to two angles of other triangle Therefore Then from the theorem of AAA Similarity criterion we can say that
Hence Proved |
Illustration : ABC and AMP are two right triangles right angled at B and M repectively. Prove that Solution: In [Common] [Each Right Angle] Therefore [ AA Similarily Criterion] Hence |
In the following figure, if Then by _____________ criteria. | |||
Right Option : B | |||
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E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Then by which ______________ criteria. | |||
Right Option : B | |||
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In the following figure, if DB BC, DE AB, AC BC. Then by _________________criteria. | |||
Right Option : C | |||
View Explanation |
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