Study More Solved Questions / Examples
Below are the measurements of few parts of two triangles in different conditions, check and explain which condition satisfies the SAS congruence rule. Also, write the congruency into symbolic form:
| Triangle PQR | | Triangle XYZ |
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| 1) | PQ = 9.1 cm, PR = 6.6 cm, ∠ P = 70° | | ZX = 6.6 cm, YZ = 7.8 cm, ∠ X = 70° |
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| 2) | PR = 6.6 cm, QR = 7.8 cm, ∠ Q = 60° | | ZX = 6.6 cm, YZ = 7.8 cm, ∠ Z = 50° |
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| 3) | PQ = 9.1 cm, QR = 7.8 cm, ∠ Q = 60° | | XY = 9.1 cm, YZ = 7.8 cm, ∠ Z = 60° |
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| 4) | RP = 6.6 cm, QP = 9.1 cm, ∠ P = 70° | | XZ = 6.6 cm, XY = 9.1 cm, ∠ X = 70° |
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In the following diagram:
CO is a median to BA
∠ 1 = ∠ 2
Prove △ AOC ≅ △ BOC
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DO = BO
AO = CO
Prove △ BOC ≅ △ DOA
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