Teachoo MCQ Test

10 Question MCQ (including Assertion)

Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash) | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
Assertion: A rhombus-shaped sign may have diagonals of different lengths.
Reason: The diagonals of a rhombus bisect each other at right angles.
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Question 2 of 10
Assertion (A):
If one interior angle of a rhombus is 90°, the rhombus mathematically becomes a square.
Reason (R):
In a rhombus, adjacent angles sum to 180° and opposite angles are equal. Therefore, one 90° angle mathematically forces all four angles to be 90°.
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Question 3 of 10
Assertion (A): Every square is correctly classified as a rhombus in a geometric Venn diagram.

Reason (R): The diagonals of a square always bisect each other at an exact 90° angle.
RectangleRhombusSquare
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
C) A is true but R is false.
D) A is false but R is true.
Answer:BSolution:Both statements are true. A square is a rhombus, and the diagonals of a square do bisect at 90°. However, Reason R is NOT the defining explanation for Assertion A. A square is classified as a rhombus specifically because all four of its sides are equal in length. The diagonal behavior is a resulting property, not the fundamental definition.
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Question 4 of 10
A designer wants the strongest evidence that a four-sided panel is a square using only its diagonals. Which set of checks is enough?
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Question 5 of 10
A rhombus-shaped badge has diagonals meeting at O. If AO = 5 cm and BO = 12 cm, what is the side length of the badge?
Rhombus with half-diagonals AO = 5 cm and BO = 12 cm.
Rhombus with half-diagonals AO = 5 cm and BO = 12 cm.
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Question 6 of 10
A shopkeeper builds a slanting display stand shaped like parallelogram ABCD. If ∠A = 42°, what is ∠B?
Parallelogram ABCD with ∠A = 42°.
Parallelogram ABCD with ∠A = 42°.
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Question 7 of 10
Assertion: The diagonals of a rectangle are equal, but they need not intersect at 90°.
Reason: The diagonals of every rectangle are perpendicular.
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Question 8 of 10
A quadrilateral-shaped field has diagonals that are equal, perpendicular, and bisect each other. What is the most specific name of the field?
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Question 9 of 10
Assertion (A):
The diagonals of a square uniquely bisect the interior angles of the square.
Reason (R):
The diagonals of a square are inherently unequal in length, forcing an uneven angular split.
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Question 10 of 10
Assertion: In a kite ABCD with AB = BC and CD = DA, diagonal BD bisects diagonal AC at 90°.
Reason: The two triangles formed on the two sides of BD can be proved congruent using the equal adjacent sides and the common side BD.
Select one option. Answers are shown after the test.