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Areas of Parallelograms and Triangles Practice Questions

Class 9 · Mathematics · 1720 free MCQs with instant results and detailed explanations.

1720
Total
644
Easy
803
Medium
273
Hard

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Topics in Areas of Parallelograms and Triangles

Triangles Between Same Parallels 349
Parallelograms Between Same Parallels 571
Figures on Same Base 800

Sample Questions from Areas of Parallelograms and Triangles

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

Q1
Easy
Two triangles have the same base and height. If the base of the first triangle is 8 cm and the second triangle is 10 cm, what will be the ratio of their areas?
A. 4:5
B. 8:10
C. 2:5
D. 5:8
Show Answer & Explanation
Correct Answer: A
Since both triangles have the same height, the area ratio is directly the ratio of their bases.
Q2
Easy
If two parallelograms have the same base and height, which of the following statements is true?
A. They have the same area
B. One is always larger
C. One is always smaller
D. Cannot be determined
Show Answer & Explanation
Correct Answer: A
Parallelograms with the same base and height will always have equal areas.
Q3
Easy
What is the area of a triangle with a base of 12 cm and a height of 5 cm?
A. 30 cm²
B. 60 cm²
C. 24 cm²
D. 12 cm²
Show Answer & Explanation
Correct Answer: A
Area of a triangle = (1/2) × base × height = (1/2) × 12 × 5 = 30 cm².
Q4
Medium
If two triangles have the same base and height, what is their area relationship?
A. They are equal
B. One is double the other
C. They cannot be compared
D. One is half the other
Show Answer & Explanation
Correct Answer: A
The area of triangles with the same base and height is always equal.
Q5
Medium
If the area of a triangle is 24 cm² and it shares the same base with a parallelogram, what will be the area of the parallelogram if the height of the parallelogram is double the height of the triangle?
A. 48 cm²
B. 36 cm²
C. 72 cm²
D. 60 cm²
Show Answer & Explanation
Correct Answer: A
The area of the parallelogram will be double that of the triangle since the height is doubled.
Q6
Medium
If a triangle has an area of 20 cm² and is on the same base as a parallelogram that is twice as tall, what is the area of the parallelogram?
A. 40 cm²
B. 20 cm²
C. 30 cm²
D. 10 cm²
Show Answer & Explanation
Correct Answer: A
The area of the parallelogram will be double the area of the triangle due to the height being doubled.
Q7
Medium
A triangle has a height that is half of its base length. If the base is 14 cm, what is the area of the triangle?
A. 49 cm²
B. 56 cm²
C. 42 cm²
D. 28 cm²
Show Answer & Explanation
Correct Answer: A
Height = 7 cm (half of base). Area = 1/2 * base * height = 1/2 * 14 * 7 = 49 cm².
Q8
Hard
If two triangles have the same base and equal heights, which of the following statements is true?
A. Their areas are equal.
B. The larger triangle has a longer base.
C. The triangle with a longer height has a smaller area.
D. Their areas depend on the angles of the triangles.
Show Answer & Explanation
Correct Answer: A
For triangles sharing the same base and height, the area formula applies equally, making their areas equal.
Q9
Hard
A parallelogram has an area of 120 cm² and a base of 10 cm. What is its height?
A. 12 cm
B. 10 cm
C. 8 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: A
Using the area formula, Area = base * height, we can rearrange to find height.
Q10
Hard
In parallelogram ABCD, if AB || CD, and AD = 8 cm, what is the relationship between triangles ABD and ABC?
A. They have equal areas.
B. Triangle ABD has a larger area.
C. Triangle ABC has a larger area.
D. Their areas depend on angle ABC.
Show Answer & Explanation
Correct Answer: A
Triangles ABD and ABC share the same base AD and height from B, making their areas equal.

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Areas of Parallelograms and Triangles — Class 9 Mathematics Practice Questions Online

This page contains 1720 practice MCQs for the chapter Areas of Parallelograms and Triangles in Class 9 Mathematics. The questions are organized by difficulty — 644 easy, 803 medium, 273 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.