Understanding Quadrilaterals Practice Questions

Class 8 · Mathematics · 1023 free MCQs with instant results and detailed explanations.

1023

Total

334

Easy

496

Medium

193

Hard

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Topics in Understanding Quadrilaterals

Polygon Properties 259

Parallelogram 238

Special Quadrilaterals 261

Rhombus Trapezium 265

Sample Questions from Understanding Quadrilaterals

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

Which of the following is NOT a property of parallelograms?

A. Opposite sides are equal

B. Adjacent angles are supplementary

C. All sides are equal

D. Opposite angles are equal

Show Answer & Explanation

Correct Answer: C

While opposite sides and angles are equal in a parallelogram, not all sides need to be equal unless it is a rhombus.

Easy

A quadrilateral has angles measuring 90°, 80°, 70°, and x°. What is the value of x?

A. 120 degrees

B. 100 degrees

C. 90 degrees

D. 110 degrees

Show Answer & Explanation

Correct Answer: B

The sum of angles in a quadrilateral is 360 degrees. Therefore, x = 360 - (90 + 80 + 70) = 100 degrees.

Easy

In a rectangle, which property holds true for the diagonals?

A. They are perpendicular

B. They are equal

C. They bisect the angles

D. They are unequal

Show Answer & Explanation

Correct Answer: B

In a rectangle, the diagonals are equal in length and bisect each other.

Medium

Which of the following is a property of a parallelogram?

A. All angles are equal

B. Opposite sides are parallel and equal

C. Diagonals are equal

D. All sides are equal

Show Answer & Explanation

Correct Answer: B

In a parallelogram, opposite sides are both parallel and equal in length.

Medium

A quadrilateral has sides of lengths 5 cm, 12 cm, 5 cm, and 12 cm. What type of quadrilateral is it?

A. Rhombus

B. Rectangle

C. Trapezium

D. Parallelogram

Show Answer & Explanation

Correct Answer: D

A quadrilateral with opposite sides equal is a parallelogram.

Medium

In a trapezium, if the lengths of the parallel sides are 10 cm and 6 cm, what is the average length of the parallel sides?

A. 8 cm

B. 7 cm

C. 9 cm

D. 6 cm

Show Answer & Explanation

Correct Answer: A

The average length is calculated as (10 + 6) / 2, which equals 8 cm.

Medium

If the diagonals of a rhombus are of lengths 8 cm and 6 cm, what is the area of the rhombus?

A. 24 cm²

B. 36 cm²

C. 48 cm²

D. 42 cm²

Show Answer & Explanation

Correct Answer: A

The area of a rhombus is given by (1/2) * d1 * d2. Here, area = (1/2) * 8 * 6 = 24 cm².

Hard

Which of the following statements about a parallelogram is FALSE?

A. Opposite sides are equal

B. Adjacent angles are supplementary

C. Diagonals are equal

D. Opposite angles are equal

Show Answer & Explanation

Correct Answer: C

In a parallelogram, the diagonals are generally not equal unless it is a rectangle or a square.

Hard

If a quadrilateral has sides 5 cm, 12 cm, 13 cm, and 14 cm, which type of quadrilateral could it potentially be?

A. Trapezium

B. Kite

C. Parallelogram

D. None of the above

Show Answer & Explanation

Correct Answer: D

The given sides do not satisfy the properties required for a trapezium, kite, or parallelogram due to varying lengths.

Q10

Hard

Which of the following quadrilaterals always has diagonals that bisect each other?

A. Rhombus

B. Trapezium

C. Rectangle

D. Square

Show Answer & Explanation

Correct Answer: A

In a rhombus, the diagonals always bisect each other at right angles.

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Understanding Quadrilaterals — Class 8 Mathematics Practice Questions Online

This page contains 1023 practice MCQs for the chapter Understanding Quadrilaterals in Class 8 Mathematics. The questions are organized by difficulty — 334 easy, 496 medium, 193 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.