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\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1. Which of the following properties describe a trapezium?
(a) A pair of opposite sides is parallel (b) The diagonals bisect each other

(c) The diagonals are perpendicular to each other
(d) The diagonals are equal
2. Quadrilateral whose opposite sides and all the angles are equal is a
(a) rectangle (b) parallelogram (c) square (d) rhombus

3. If the adjacent angles of a parallelogram are equal, then the parallelogram is a
(a) rectangle (b) trapezium (c) rhombus (d) any of the three

4. The angles of a quadrilateral ABCD taken in an order are in the ratio 3 : 7 : 6 : 4. Then ABCD is a
(a) kite (b) parallelogram (c) rhombus (d) trapezium
5. In a square ABCD, the diagonals meet at point O. The ∆AOB is
(a) isosceles right triangle (b) equilateral triangle

(c) isosceles triangle but not right triangle (d) scalene right triangle
6. ABCD is a rhombus such that ∠ACB = 35°. Then, ∠ADB =

(a) 35° (b) 45° (c) 55° (d) 65°
7. In parallelogram ABCD, ∠C = 67.5°. Then ∠A : ∠B =
(a) 3 : 1 (b) 1 : 3 (c) 5 : 3 (d) 3 : 5
8. The bisectors of ∠A and ∠B of a parallelogram ABCD intersect at P. Then ∠APB =

(a) 80° (b) 90° (c) 100° (d) none of these
B. Assertion and Reason Type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion
(A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): An octagon has 8 sides.

Reason (R): A polygon is a simple closed curve formed by only line segments.
2. Assertion (A): The lengths of the diagonals of a rhombus are 30 cm and 16 cm respectively. The
length of its each side will be 17 cm.

Reason (R): Diagonals of a rhombus bisect to each other perpendicularly.
3. Assertion (A): A parallelogram can be constructed if the length of any side and one of the its diagonals
are given.

Reason (R): Special quadrilaterals can be constructed with less than 5 measurements.

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