Congruency Congruent Triangles — Practice Quiz
ICSE · Class 7 · Mathematics
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Quick Quiz: Congruency Congruent Triangles
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Two triangles have two corresponding sides and the included angle equal: AB = XZ, BC = XY, and ∠ABC = ∠ZXY. Which congruency test proves the triangles congruent?
In right triangles ABC and FED, ∠B = ∠E = 90°, AB = FE = 6 cm, and AC = FD = 10 cm. Which congruency test applies?
Triangles ABC and PQR satisfy AB = PQ = 7 cm, BC = QR = 9 cm, and AC = PR = 11 cm. What is the correct conclusion?
In triangles ABC and PQR, ∠B = ∠Q = 45°, ∠C = ∠R = 65°, and AC = PR = 8 cm. Which statement is correct?
Sample Questions
Triangles AOB and DOC have AB = CD = 12 cm and AB // CD. If ∠BAO = 35° and ∠CDO = 35°, which side equality can be concluded after proving the triangles congruent by ASA?
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AO = DO
With AB = CD and the alternate angles equal because AB is parallel to CD, the triangles are congruent by ASA. Corresponding sides of congruent triangles are equal, so AO = DO.
In triangles AOB and AOC, AB = AC = 13 cm, AO is common, and ∠BOA = ∠COA = 90°. What is the correct congruency result?
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ΔAOB ≅ ΔAOC by RHS
Both triangles are right-angled, the hypotenuse AB equals AC, and AO is a common side. That fits RHS, so the triangles are congruent by RHS.
A triangle has angles 20° and 50°. What is the third angle using the angle-sum property?
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110°
The angles of a triangle add to 180°. So the third angle = 180° - (20° + 50°) = 180° - 70° = 110°.
A triangle has angles 110° and 20°. What is the third angle?
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50°
The three angles of a triangle add to 180°. So the third angle = 180° - (110° + 20°) = 50°.
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