Chapter 9 · Class 9 CBSE · Free Worksheet PDF
Areas of Parallelograms & Triangles Sums for Class 9 — Free CBSE Worksheet PDF with Answers
Download a free printable areas of parallelograms & triangles worksheet for Class 9 CBSE with 30 practice questions covering areas of parallelograms & triangles concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Areas of Parallelograms & Triangles Sums for Class 9 — Practice Questions
Here are 8 sample areas of parallelograms & triangles sums from this Class 9 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.For two planar figures to be considered 'between the same parallels', what is the essential condition they must satisfy?
A.Their bases must lie on one parallel line, and their vertices opposite to the base must lie on the other parallel line.
B.They must have at least one common side.
C.Their areas must be equal.
D.They must be congruent.
Difficulty: Easy
Q2.In a figure, parallelogram ABCD and triangle EBC are drawn such that point E lies on the side AD. For these two figures to be on the same base and between the same parallels, which condition is necessary?
A.E must be the midpoint of AD.
B.The line AD must be parallel to the line BC.
C.The line AB must be parallel to the line CD.
D.Area(ABCD) must be equal to Area(EBC).
Difficulty: Easy
Q3.Parallelogram PQRS and parallelogram MNRS are on the same base SR and between the same parallels SR and PM. If Area(PQRS) = 45 cm², what is Area(MNRS)?
A.90 cm²
B.45 cm²
C.22.5 cm²
D.Cannot be determined without side lengths.
Difficulty: Easy
Q4.Which of the following conditions is not necessarily true for two triangles on the same base and between the same parallels?
A.Their heights corresponding to the common base are equal.
B.Their areas are equal.
C.They have the same perimeter.
D.Their vertices opposite to the common base lie on the same parallel line.
Difficulty: Easy
Q5.A triangle and a parallelogram are on the same base and between the same parallels. If the area of the parallelogram is 60 cm², what is the area of the triangle?
A.30 cm²
B.60 cm²
C.120 cm²
D.45 cm²
Difficulty: Easy
Q6.Ravi claims that if two triangles have the same base, their areas must be equal. Which of the following statements best explains why Ravi's claim is incorrect?
A.Triangles on the same base always have different areas.
B.Their areas are equal only if they are congruent.
C.Their areas are equal only if they are right-angled triangles.
D.Their areas are equal only if their heights corresponding to that base are also equal.
Difficulty: Easy
Q7.If two triangles have the same base and equal areas, then their corresponding vertices opposite to the common base must lie on a line __________ to the base.
A.perpendicular
B.intersecting
C.parallel
D.oblique
Difficulty: Easy
Q8.In ΔPQR, if PS is a median to side QR, and Area(ΔPQS) = 35 cm², what is Area(ΔPQR)?
A.70 cm²
B.35 cm²
C.17.5 cm²
D.Cannot be determined.
Difficulty: Easy
Answer Key — Sample Questions+
Q1:Their bases must lie on one parallel line, and their vertices opposite to the base must lie on the other parallel line.
Q2:The line AD must be parallel to the line BC.
Q3:45 cm²
Q4:They have the same perimeter.
Q5:30 cm²
Q6:Their areas are equal only if their heights corresponding to that base are also equal.
Q7:parallel
Q8:70 cm²
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Areas of Parallelograms & Triangles |
|---|---|
| Board | CBSE |
| Class | 9 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 9 CBSE
Frequently Asked Questions
Where can I download free areas of parallelograms & triangles sums for Class 9?+
You can download a free Areas of Parallelograms & Triangles PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 practice questions (areas of parallelograms & triangles concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many areas of parallelograms & triangles questions are in this Class 9 worksheet?+
This SparkEd worksheet for Areas of Parallelograms & Triangles Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover areas of parallelograms & triangles concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Areas of Parallelograms & Triangles worksheet for Class 9 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this areas of parallelograms & triangles worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 9 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Areas of Parallelograms & Triangles worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include areas of parallelograms & triangles word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
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