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Maths Quadrilaterals Class 8 (Ganita Prakash) MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 8 · Maths · CBSE

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

Practise Quadrilaterals Class 8 (Ganita Prakash) with Teachoo's 10 Question MCQ (including Assertion) (Class 8 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
Assertion: A quadrilateral that is both a kite and a parallelogram must be a rhombus.
Reason: A parallelogram has equal opposite sides, and a kite has equal adjacent pairs; together these force all four sides to be equal.
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Question 2 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 3 of 10
A carpenter makes a rectangular photo frame. One diagonal measures 15 cm. What should the other diagonal measure if the frame is correct?
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Question 4 of 10
Assertion (A): In a parallelogram, adjacent angles are invariably equal to each other.

Reason (R): In a parallelogram, opposite sides are parallel, establishing adjacent angles as supplementary (adding up to 180°).
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:DSolution:Assertion A is strictly false. Adjacent angles in a generic parallelogram are NOT equal (unless the shape is specifically a rectangle). Reason R is true; transversals crossing parallel lines mean the adjacent interior angles sum to 180°.
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Question 5 of 10
Two equilateral triangular plates of side 8 cm are welded on opposite sides of one common side. What shape is the outer boundary?
Outer boundary after joining two equilateral triangles of side 8 cm.
Outer boundary after joining two equilateral triangles of side 8 cm.
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Question 6 of 10
Assertion (A): If all four interior angles of a quadrilateral measure 90°, it is rigorously classified as a rectangle.

Reason (R): In a quadrilateral where all angles are 90°, drawing a diagonal creates congruent triangles via AAS congruence, mathematically proving the opposite sides are equal.
ABCD
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:ASolution:Both statements are true. As established in Deduction 4 of the text, if all angles are 90°, the line splitting the angles (the transversal diagonal) creates alternate interior relationships. By AAS congruence (\(\Delta BAD \cong \Delta DCB\)), opposite sides are proven equal, which fulfills the complete definition of a rectangle.
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Question 7 of 10
A designer draws a four-corner logo with three interior angles 88°, 97° and 105°. What must the fourth angle be?
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Question 8 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 9 of 10
A metal frame has diagonals of equal length, but they do not bisect each other. Which claim is correct?
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Question 10 of 10
A school flag panel is a square. A diagonal is drawn from one corner to the opposite corner. Into what two angles does it divide a corner?
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