Congruency Congruent Triangles — Important Questions
ICSE · Class 7 · Mathematics
58 important questions from Congruency Congruent Triangles for ICSE Class 7 Mathematics, with answers. Part of the ICSE Class 7 Mathematics syllabus.
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Important Questions from Congruency Congruent Triangles
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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