Teachoo Quiz

10 Question MCQ (including Assertion)

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

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Question 1 of 10
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Question 1 of 10
A rectangular garden has length 18 m and breadth 24 m. What is the length of a diagonal path across the garden?
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Question 2 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 3 of 10
A floor tile has the shape of a parallelogram. One side is 12 cm and the adjacent side is 8 cm. Which side length must the opposite longer side have?
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Question 4 of 10
A classroom display board is a kite. One diagonal joins the top and bottom vertices where the equal adjacent sides meet. Which property does that diagonal have?
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Question 5 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 6 of 10
Assertion: The sum of the interior angles of a concave quadrilateral is also 360°.
Reason: Every diagonal of a concave quadrilateral lies inside it and divides it into two triangles.
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Question 7 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 8 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 9 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 10 of 10
A decorative frame is a rhombus. The diagonals cross at the centre. At what angle do they intersect?
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