Triangles Quiz - ICSE Class 8 Mathematics
Free practice quiz: Triangles (ICSE Class 8 Mathematics). 58 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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In triangle ABC, if angle A = 55°, angle B = 65°, then what is the measure of angle C?
- 60°
- 70°
- 50°
- 80°
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Answer: A. 60°
The sum of angles in a triangle is always 180°. Therefore, angle C = 180° - (angle A + angle B) = 180° - (55° + 65°) = 180° - 120° = 60°.
Which congruence criterion is satisfied by two triangles if their three sides are respectively equal?
- ASA
- AAS
- SSS
- RHS
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Answer: C. SSS
SSS stands for Side-Side-Side. This congruence criterion states that if the three sides of one triangle are equal to the corresponding three sides of another triangle, then the two triangles are congruent.
Which of the following congruence criteria involves two angles and a non-included side?
- SAS
- ASA
- AAS
- SSS
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Answer: C. AAS
AAS stands for Angle-Angle-Side. This congruence criterion states that if two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.
In triangle ABC, angle B = 90°. If AB = 3 cm and BC = 4 cm, what is the length of AC?
- 5 cm
- 6 cm
- 7 cm
- 8 cm
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Answer: A. 5 cm
Using the Pythagorean theorem, $AC^2 = AB^2 + BC^2 = 3^2 + 4^2 = 9 + 16 = 25$. Therefore, AC = $\sqrt{25} = 5$ cm.
If triangle ABC is congruent to triangle XYZ, and BC = 9 cm, AC = 11 cm, AB = 13 cm, then what is the length of XZ?
- 9 cm
- 11 cm
- 13 cm
- Cannot be determined
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Answer: B. 11 cm
The congruence statement triangle ABC is congruent to triangle XYZ implies that AC corresponds to XZ. Therefore, XZ = AC = 11 cm.