Podcast
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 true?
- AB : PQ = BC : QR (correct)
- AB : PQ = AC : PR
- AB : PQ = AC : QR
- AB : PQ = BC : PR
If â–³ABC ~ â–³PQR, then which of the following is not true?
If â–³ABC ~ â–³PQR, then which of the following is not true?
- AB : PQ = BC : QR
- ∠C ≅ ∠R
- ∠A ≅ ∠P
- BC : QR = AC : PR (correct)
Which of the following is a consequence of â–³ABC ~ â–³PQR?
Which of the following is a consequence of â–³ABC ~ â–³PQR?
- ∠A ≅ ∠P and ∠B ≅ ∠Q (correct)
- AB : PQ = AC : QR
- AB : PQ = BC : PR
- AB : PQ = BC : QR
If â–³ABC ~ â–³PQR, then which of the following is true about the areas of the triangles?
If â–³ABC ~ â–³PQR, then which of the following is true about the areas of the triangles?
If â–³ABC ~ â–³PQR, then which of the following is a test of similarity?
If â–³ABC ~ â–³PQR, then which of the following is a test of similarity?
Flashcards
Similar Triangles (Sides)
Similar Triangles (Sides)
Corresponding sides of similar triangles are proportional.
Similar Triangles (Angles)
Similar Triangles (Angles)
If two triangles are similar, their corresponding angles are congruent.
Area Ratio of Similar Triangles
Area Ratio of Similar Triangles
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
SAS Similarity
SAS 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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