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CBSE Class 9  >  Class 9 Test  >  : Additional Practice  >  Test: Quadrilaterals- Case Based Type Questions- 1 - Class 9 MCQ

Quadrilaterals- Case Based Type Questions- 1 - Free Questions with solutions


MCQ Practice Test & Solutions: Test: Quadrilaterals- Case Based Type Questions- 1 (10 Questions)

You can prepare effectively for Class 9 Class 9: Additional Practice with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Quadrilaterals- Case Based Type Questions- 1". These 10 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Quadrilaterals- Case Based Type Questions- 1 - Question 1
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Harish makes a poster in the shape of a parallelogram on the topic SAVE ELECTRICITY for an inter school competition as shown in the follow figure.

Q. If AB = (2y – 3) and CD = 5 cm then what is the value of y?

Detailed Solution: Question 1

AB = CD

⇒ 2y – 3 = 5

⇒ 2y = 8

⇒ y = 4

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 2
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Harish makes a poster in the shape of a parallelogram on the topic SAVE ELECTRICITY for an inter school competition as shown in the follow figure.

Q. If ∠B = (2y)° and ∠D = (3y – 6)°, then find the value of y.

Detailed Solution: Question 2

∠B = ∠D

(opposite angles of a parallelogram are equal)

⇒ 2y = 3y – 6

⇒ 2y – 3y = – 6

⇒ – y = – 6

⇒ y = 6

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Test: Quadrilaterals- Case Based Type Questions- 1 - Question 3
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Harish makes a poster in the shape of a parallelogram on the topic SAVE ELECTRICITY for an inter school competition as shown in the follow figure.

Q. If ∠ A = (4x + 3)° and ∠D = (5x – 3)°, then find the measure of ∠B

Detailed Solution: Question 3

Since, ABCD is a parallelogram.

∠A + ∠D = 180°

(adjacent angles of a quadrilateral are equal)

(4x + 3)° + (5x – 3)° = 180°

9x = 180°

x = 20

∠D = (5x – 3)° = 97°

∠D = ∠B

(opposite angles of a parallelogram are equal)

Thus, ∠B = 97°

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 4
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Harish makes a poster in the shape of a parallelogram on the topic SAVE ELECTRICITY for an inter school competition as shown in the follow figure.

Q. If ∠A = (2x – 3)° and ∠C = (4y + 2)°, then find how x and y relate.

Detailed Solution: Question 4

∠A = ∠C

(opposite angles of a parallelogram are equal)

⇒ 2x – 3 = 4y + 2

⇒ 2x = 4y + 5

⇒

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 5
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Harish makes a poster in the shape of a parallelogram on the topic SAVE ELECTRICITY for an inter school competition as shown in the follow figure.

Q. Which mathematical concept is used here?

Detailed Solution: Question 5

Here, we used Properties of a parallelogram Concept.

The properties of a parallelogram are as follows:

  • The opposite sides of a parallelogram are equal.

  • The opposite angles of a parallelogram are equal.

  • The consecutive angle of a parallelogram is supplementary. If one angle is a right angle, all the angles are right angles in a parallelogram.

  • The diagonals of a parallelogram bisect each other.

  • Each diagonal of a parallelogram bisects it into two congruent triangles.

  • If one pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 6
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During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:

Q. A student formed a rectangle with these sticks. What is the length of the diagonal of the rectangle formed by the student?

Detailed Solution: Question 6

All the angles of a rectangle are right angle. So, diagonal of a rectangle divides it into two right angled triangles. Thus,

62 + 42 = l2

36 + 16 = l2

l2 = 52

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 7
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During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:

Q. Write the name of quadrilateral that can be formed with these sticks.

Detailed Solution: Question 7

Opposite sides of a parallelogram and a rectangle are equal. Also, adjacent sides of kite are equal. Thus, kite, rectangle and parallelogram can be formed with the sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm. Hence, option (c) is correct.

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 8
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During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:

Q. How many types of quadrilaterals can be possible?

Detailed Solution: Question 8

3 types of quadrilaterals can be possible here.

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 9
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During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:

Q. Which statement is incorrect ?

Detailed Solution: Question 9

A trapezium has only one pair of parallel sides. Thus, it cannot be a parallelogram.

Test: Quadrilaterals- Case Based Type Questions- 1 - Question 10
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During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:

Q. A diagonal of a parallelogram divides it into two _______ triangles.

Detailed Solution: Question 10

Two triangles are said to be congruent if they are of the same size and same shape. Two congruent triangles have the same area and perimeter. All the sides and angles of a congruent triangle are equal to the corresponding sides and angles of its congruent triangle. We can prove the congruency of any two triangles by using five different properties, which are - SSS, SAS, AAS, ASA, and RHS.

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About this Class 9 Practice Test

This test contains 10 MCQs on Quadrilaterals- Case Based Type Questions- 1 with detailed solutions for each question. It is part of the Class 9: Additional Practice course on EduRev, designed to align with the current Class 9 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Quadrilaterals- Case Based Type Questions- 1 MCQ Test helpful, you can further enhance your Class 9 preparation with in-depth courses on EduRev, for all the subjects and topics available in Class 9: Additional Practice course. The course offers:
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