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Quadrilaterals Practice Questions

Class 9 · Mathematics · 2487 free MCQs with instant results and detailed explanations.

2487
Total
820
Easy
1208
Medium
459
Hard

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Topics in Quadrilaterals

Angle Sum Property 803
Mid-Point Theorem 852
Properties of Parallelogram 832

Sample Questions from Quadrilaterals

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

Q1
Easy
What is the sum of the interior angles of a quadrilateral?
A. 360 degrees
B. 180 degrees
C. 540 degrees
D. 270 degrees
Show Answer & Explanation
Correct Answer: A
The sum of the interior angles of any quadrilateral is always 360 degrees.
Q2
Easy
If all angles of a quadrilateral are equal, what type of quadrilateral is it?
A. Trapezium
B. Kite
C. Rectangle
D. Square
Show Answer & Explanation
Correct Answer: D
A quadrilateral with all equal angles is a square (which has all sides equal and all angles equal).
Q3
Easy
In quadrilateral PQRS, angle P = 70 degrees and angle Q = 80 degrees. If angle R is twice angle S, what is the measure of angle S?
A. 50 degrees
B. 60 degrees
C. 40 degrees
D. 70 degrees
Show Answer & Explanation
Correct Answer: B
Let angle S = x. Then angle R = 2x. From the angle sum property, 70 + 80 + x + 2x = 360. Solving gives x = 60 degrees.
Q4
Medium
What is the sum of the interior angles of a quadrilateral?
A. 360 degrees
B. 180 degrees
C. 90 degrees
D. 540 degrees
Show Answer & Explanation
Correct Answer: A
The sum of the interior angles of any quadrilateral is always 360 degrees.
Q5
Medium
If one angle of a quadrilateral is 100 degrees and the other three angles are equal, what is the measure of each of the equal angles?
A. 60 degrees
B. 80 degrees
C. 90 degrees
D. 70 degrees
Show Answer & Explanation
Correct Answer: B
Let each of the equal angles be x. We have 100 + 3x = 360. Hence, x = 86.67 degrees.
Q6
Medium
In a cyclic quadrilateral, if one angle measures 80 degrees, what is the measure of the opposite angle?
A. 100 degrees
B. 80 degrees
C. 90 degrees
D. 70 degrees
Show Answer & Explanation
Correct Answer: A
In cyclic quadrilaterals, opposite angles are supplementary, thus summing to 180 degrees.
Q7
Medium
If a quadrilateral has angles measuring 120°, 85°, and 75°, what is the measure of the fourth angle?
A. 80 degrees
B. 70 degrees
C. 90 degrees
D. 50 degrees
Show Answer & Explanation
Correct Answer: D
The sum of angles of a quadrilateral is 360 degrees. Thus, the fourth angle is 360 - (120 + 85 + 75).
Q8
Hard
In a quadrilateral ABCD, if angle A = 70°, angle B = 80°, and angle C = 90°, what is the measure of angle D?
A. 120°
B. 130°
C. 100°
D. 110°
Show Answer & Explanation
Correct Answer: A
The sum of angles in any quadrilateral is 360°. Therefore, angle D = 360° - (70° + 80° + 90°) = 120°.
Q9
Hard
If the angles of a quadrilateral are in the ratio 3:4:5:6, what is the measure of the largest angle?
A. 108°
B. 135°
C. 144°
D. 150°
Show Answer & Explanation
Correct Answer: B
Let the angles be 3x, 4x, 5x, and 6x. The sum is 18x = 360°, thus x = 20°. The largest angle is 6x = 120°.
Q10
Hard
In a cyclic quadrilateral, if one angle measures 110°, what is the measure of the opposite angle?
A. 70°
B. 80°
C. 90°
D. 100°
Show Answer & Explanation
Correct Answer: A
In a cyclic quadrilateral, opposite angles are supplementary. Therefore, 180° - 110° = 70°.

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Quadrilaterals — Class 9 Mathematics Practice Questions Online

This page contains 2487 practice MCQs for the chapter Quadrilaterals in Class 9 Mathematics. The questions are organized by difficulty — 820 easy, 1208 medium, 459 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 3 topics, giving you comprehensive coverage of the entire chapter.