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Question (21)

QN0018780

A parallelogram has sides 13 cm and 7 cm. Its perimeter is:

(A) 20 cm
(B) 26 cm
(C) 40 cm
(D) 52 cm

Correct Answer: C

Explanation:

Perimeter = 2(13 + 7) = 40 cm.

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Question (22)

QN0018781

In parallelogram WXYZ, ∠W = 98°. Find ∠Y.

(A) 82°
(B) 98°
(C) 102°
(D) 262°

Correct Answer: B

Explanation:

Opposite angles are equal.

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Question (23)

QN0018782

If ∠M = 72° in a parallelogram, then the angle adjacent to it is:

(A) 72°
(B) 98°
(C) 108°
(D) 118°

Correct Answer: C

Explanation:

Adjacent angle = 180° − 72° = 108°.

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Question (24)

QN0018783

If AO = 10 cm in parallelogram ABCD, where O is the point of intersection of diagonals, then OC =

(A) 5 cm
(B) 10 cm
(C) 15 cm
(D) 20 cm

Correct Answer: B

Explanation:

Diagonals bisect each other, so AO = OC.

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Question (25)

QN0018784

A quadrilateral has opposite sides equal. It is necessarily a:

(A) Parallelogram
(B) Kite
(C) Trapezium
(D) Rhombus only

Correct Answer: A

Explanation:

A quadrilateral with both pairs of opposite sides equal is a parallelogram.

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Question (26)

QN0018785

In a parallelogram, one angle is four times its adjacent angle. The smaller angle is:

(A) 30°
(B) 36°
(C) 45°
(D) 60°

Correct Answer: B

Explanation:

x + 4x = 180°, x = 36°.

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Question (27)

QN0018786

The diagonals of a parallelogram divide it into:

(A) Two congruent triangles
(B) Four unequal triangles
(C) Three triangles
(D) A rectangle

Correct Answer: A

Explanation:

A diagonal divides a parallelogram into two congruent triangles.

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Question (28)

QN0018787

If ∠A = 95° in a parallelogram, then ∠B equals:

(A) 85°
(B) 95°
(C) 105°
(D) 265°

Correct Answer: A

Explanation:

Adjacent angles are supplementary.

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Question (29)

QN0018788

In a parallelogram, AB = 2x + 3 and CD = 17. Find x.

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: C

Explanation:

2x + 3 = 17 ⇒ x = 7.

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Question (30)

QN0018789

If the diagonals of a parallelogram intersect at O and AC = 22 cm, then AO =

(A) 11 cm
(B) 22 cm
(C) 33 cm
(D) 44 cm

Correct Answer: A

Explanation:

AO = AC ÷ 2 = 11 cm.

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Question (21)

A parallelogram has sides 13 cm and 7 cm. Its perimeter is:

Explanation:

Link:

Question (22)

In parallelogram WXYZ, ∠W = 98°. Find ∠Y.

Explanation:

Link:

Question (23)

If ∠M = 72° in a parallelogram, then the angle adjacent to it is:

Explanation:

Link:

Question (24)

If AO = 10 cm in parallelogram ABCD, where O is the point of intersection of diagonals, then OC =

Explanation:

Link:

Question (25)

A quadrilateral has opposite sides equal. It is necessarily a:

Explanation:

Link:

Question (26)

In a parallelogram, one angle is four times its adjacent angle. The smaller angle is:

Explanation:

Link:

Question (27)

The diagonals of a parallelogram divide it into:

Explanation:

Link:

Question (28)

If ∠A = 95° in a parallelogram, then ∠B equals:

Explanation:

Link:

Question (29)

In a parallelogram, AB = 2x + 3 and CD = 17. Find x.

Explanation:

Link:

Question (30)

If the diagonals of a parallelogram intersect at O and AC = 22 cm, then AO =

Explanation:

Link:

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