The Triangle and its Properties Practice Questions

Class 7 · Mathematics · 565 free MCQs with instant results and detailed explanations.

565

Total

214

Easy

267

Medium

Hard

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Topics in The Triangle and its Properties

Angle Sum Property 87

Exterior Angle 65

Pythagoras Theorem 136

Types of Triangles 277

Sample Questions from The Triangle and its Properties

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Easy

Which of the following statements is true about the angles of a triangle?

A. The angles can be more than 180 degrees

B. The angles can be less than 180 degrees

C. The sum of the angles is always 180 degrees

D. The sum of the angles is less than 90 degrees

Show Answer & Explanation

Correct Answer: C

The sum of the angles in a triangle is always exactly 180 degrees, no more, no less.

Easy

If angle A = 30 degrees and angle B = 90 degrees in triangle ABC, what is angle C?

A. 60 degrees

B. 40 degrees

C. 50 degrees

D. 70 degrees

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Correct Answer: A

Using the angle sum property, angle C = 180 - (30 + 90) = 60 degrees.

Easy

What is the relationship between the sum of the angles of a triangle and a quadrilateral?

A. Triangle and quadrilateral have the same angle sum

B. Quadrilateral angles sum is less than triangle

C. Triangle angles sum is more than quadrilateral

D. Quadrilateral angles sum is 360 degrees

Show Answer & Explanation

Correct Answer: D

The sum of angles in a quadrilateral is 360 degrees, while a triangle's sum is 180 degrees.

Medium

In triangle PQR, if angle P = 30° and angle R = 90°, which statement is true?

A. Angle Q = 60°

B. Angle Q = 80°

C. Angle Q = 90°

D. Angle Q = 30°

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Correct Answer: A

Using the angle sum property, angle Q = 180° - (30° + 90°) = 60°.

Medium

If one angle of an isosceles triangle is 40°, what could be the other two angles?

A. 40°, 40°

B. 70°, 70°

C. 50°, 50°

D. 80°, 80°

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Correct Answer: A

In an isosceles triangle, the other two angles must be equal. Thus, angle A = angle B = 40° each, making the triangle valid.

Medium

A triangle has angles measuring 45 degrees, 45 degrees, and what?

A. 90 degrees

B. 75 degrees

C. 85 degrees

D. 60 degrees

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Correct Answer: A

The third angle can be calculated as 180 - (45 + 45) = 90 degrees.

Medium

A triangle has one angle measuring 120 degrees. What can you conclude about this triangle?

A. It is a right triangle

B. It is an obtuse triangle

C. It is an acute triangle

D. It is an equilateral triangle

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Correct Answer: B

A triangle with one angle greater than 90 degrees is classified as an obtuse triangle.

Hard

In triangle XYZ, if angle X = 45° and angle Y = 45°, what is angle Z?

A. 90°

B. 45°

C. 60°

D. 30°

Show Answer & Explanation

Correct Answer: A

The sum of angles in a triangle is 180°. So, angle Z = 180° - (angle X + angle Y) = 180° - 90° = 90°.

Hard

In triangle DEF, if angle D = 50 degrees and angle E = 60 degrees, what is the measure of angle F?

A. 70 degrees

B. 80 degrees

C. 90 degrees

D. 100 degrees

Show Answer & Explanation

Correct Answer: A

Using the angle sum property: Angle F = 180 - (50 + 60) = 70 degrees.

Q10

Hard

In triangle ABC, if angle A = 2x, angle B = 90 degrees, what is angle C in terms of x?

A. 90 - 2x

B. 90 + x

C. 90 - x

D. 90 + 2x

Show Answer & Explanation

Correct Answer: A

Using the angle sum property, angle C = 180 - (2x + 90) = 90 - 2x.

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The Triangle and its Properties — Class 7 Mathematics Practice Questions Online

This page contains 565 practice MCQs for the chapter The Triangle and its Properties in Class 7 Mathematics. The questions are organized by difficulty — 214 easy, 267 medium, 84 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.