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Question (1)

QN0029333

A quadrilateral has angles 85°, 95°, and 110°. What is the measure of the fourth angle?

(A) 60°
(B) 70°
(C) 75°
(D) 90°

Correct Answer: B

Explanation:

Sum of angles of a quadrilateral = 360°. Fourth angle = 360° − (85° + 95° + 110°) = 70°.

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Question (2)

QN0029334

A rectangle has one diagonal of length 12 cm. What is the length of the other diagonal?

(A) 10 cm
(B) 12 cm
(C) 14 cm
(D) Cannot be determined

Correct Answer: B

Explanation:

The diagonals of a rectangle are equal. Hence the other diagonal is also 12 cm.

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Question (3)

QN0029335

The diagonals of a quadrilateral are equal and bisect each other. Which quadrilateral is definitely formed?

(A) Kite
(B) Rhombus
(C) Rectangle
(D) Trapezium

Correct Answer: C

Explanation:

A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

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Question (4)

QN0029336

In a parallelogram, one angle measures 68°. What is the measure of an adjacent angle?

(A) 68°
(B) 102°
(C) 112°
(D) 292°

Correct Answer: C

Explanation:

Adjacent angles in a parallelogram are supplementary. 180° − 68° = 112°.

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Question (5)

QN0029337

A rhombus has one angle equal to 76°. What is the measure of the opposite angle?

(A) 76°
(B) 104°
(C) 152°
(D) 38°

Correct Answer: A

Explanation:

Opposite angles of a rhombus are equal.

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Question (6)

QN0029338

A square has a diagonal of length 10 cm. The diagonals intersect at O. What is AO?

(A) 2.5 cm
(B) 5 cm
(C) 10 cm
(D) 20 cm

Correct Answer: B

Explanation:

Diagonals of a square bisect each other. AO = 10 ÷ 2 = 5 cm.

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Question (7)

QN0029339

A parallelogram has sides 9 cm and 6 cm. Its perimeter is

(A) 15 cm
(B) 24 cm
(C) 30 cm
(D) 36 cm

Correct Answer: C

Explanation:

Perimeter = 2 × (9 + 6) = 30 cm.

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Question (8)

QN0029340

Which quadrilateral always has diagonals that bisect each other at right angles?

(A) Rectangle
(B) Trapezium
(C) Rhombus
(D) Kite

Correct Answer: C

Explanation:

The diagonals of a rhombus bisect each other at 90°.

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Question (9)

QN0029341

In an isosceles trapezium, one base angle is 72°. The angle adjacent to it on the same leg is

(A) 72°
(B) 108°
(C) 118°
(D) 144°

Correct Answer: B

Explanation:

Adjacent interior angles between parallel sides are supplementary. 180° − 72° = 108°.

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Question (10)

QN0029342

A quadrilateral has all sides equal and one angle is 90°. It must be a

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

Correct Answer: C

Explanation:

A rhombus with one right angle is a square.

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Question (1)

A quadrilateral has angles 85°, 95°, and 110°. What is the measure of the fourth angle?

Explanation:

Link:

Question (2)

A rectangle has one diagonal of length 12 cm. What is the length of the other diagonal?

Explanation:

Link:

Question (3)

The diagonals of a quadrilateral are equal and bisect each other. Which quadrilateral is definitely formed?

Explanation:

Link:

Question (4)

In a parallelogram, one angle measures 68°. What is the measure of an adjacent angle?

Explanation:

Link:

Question (5)

A rhombus has one angle equal to 76°. What is the measure of the opposite angle?

Explanation:

Link:

Question (6)

A square has a diagonal of length 10 cm. The diagonals intersect at O. What is AO?

Explanation:

Link:

Question (7)

A parallelogram has sides 9 cm and 6 cm. Its perimeter is

Explanation:

Link:

Question (8)

Which quadrilateral always has diagonals that bisect each other at right angles?

Explanation:

Link:

Question (9)

In an isosceles trapezium, one base angle is 72°. The angle adjacent to it on the same leg is

Explanation:

Link:

Question (10)

A quadrilateral has all sides equal and one angle is 90°. It must be a

Explanation:

Link:

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