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Questions and Answers
If â–³ABC ~ â–³PQR, then which of the following is true?
If â–³ABC ~ â–³PQR, then which of the following is not true?
Which of the following is a consequence of â–³ABC ~ â–³PQR?
If â–³ABC ~ â–³PQR, then which of the following is true about the areas of the triangles?
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If â–³ABC ~ â–³PQR, then which of the following is a test of similarity?
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Study Notes
Similarity of Triangles
- In triangles, if h = h, then A : A = 1:1
- If â–³ABC ~ â–³QRP, then corresponding sides are proportional
Triangle Similarity Criteria
- â–³ABC ~ â–³APQ, A-P-B and A-Q-C, if A(â–³ABC) = 16 A(â–³APQ), then PQ:BC = 1:4
Conditions for Similarity
- △DEF ~ △PQR, ∠D ≅ ∠Q, ∠R ≅ ∠E, then EF PR = DF PQ and DE PQ = EF RP
- In △DEF and △PQR, if ∠D ≅ ∠Q, ∠R ≅ ∠E, then DE QR ≠DF PQ
Tests of Similarity
- ∠P = 35°, ∠X = 35°, ∠Q = 60°, ∠Y = 60°, then △PXQ ~ △XYQ (AA similarity test)
- If corresponding angles are equal, then triangles are similar (AA similarity test)
Triangle Similarity Theorems
- If two triangles have proportional corresponding sides, then they are similar
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Description
Solve these multiple-choice questions to test your understanding of geometry and similarity, including triangles, proportions, and congruent angles.
