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Question (31)

QN0018710

A quadrilateral has all sides equal and all angles equal to 90°. It is a:

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

Correct Answer: C

Explanation:

This is the definition of a square.

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Question (32)

QN0018711

The diagonals of a square divide the square into:

(A) nor
(B)
(C) Both
(D) Neither

Correct Answer: C

Explanation:

Both properties are true.

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Question (33)

QN0018712

If a rectangle has diagonals of length 18 cm, then each half-diagonal measures:

(A) 6 cm
(B) 9 cm
(C) 18 cm
(D) 36 cm

Correct Answer: B

Explanation:

Each diagonal is bisected at its midpoint.

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Question (34)

QN0018713

Which quadrilateral always has equal diagonals and four right angles?

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

Correct Answer: A

Explanation:

These are defining properties of a rectangle.

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Question (35)

QN0018714

A square and a rectangle both have:

(A) All sides equal
(B) All angles 90°
(C) Perpendicular diagonals
(D) Adjacent sides equal

Correct Answer: B

Explanation:

Both figures have four right angles.

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Question (36)

QN0018715

In a square, the diagonals are drawn. The angle between them is:

(A) 45°
(B) 60°
(C) 90°
(D) 180°

Correct Answer: C

Explanation:

Diagonals of a square intersect at right angles.

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Question (37)

QN0018716

If a square has perimeter 40 cm, then each side is:

(A) 5 cm
(B) 8 cm
(C) 10 cm
(D) 20 cm

Correct Answer: C

Explanation:

Side = 40 ÷ 4 = 10 cm.

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Question (38)

QN0018717

A rectangle has perimeter 50 cm and length 15 cm. The breadth is:

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

Correct Answer: B

Explanation:

2(l+b)=50 ⇒ l+b=25 ⇒ b=10 cm.

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Question (39)

QN0018718

The diagonals of a square bisect each other and also:

(A) Remain parallel
(B) Bisect the angles of the square
(C) Become unequal
(D) Do not intersect

Correct Answer: B

Explanation:

Diagonals of a square bisect its vertex angles.

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Question (40)

QN0018719

Which of the following figures satisfies all properties of both a rectangle and a rhombus?

(A) Kite
(B) Trapezium
(C) Square
(D) Parallelogram

Correct Answer: C

Explanation:

A square is both a rectangle and a rhombus.

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Question (31)

A quadrilateral has all sides equal and all angles equal to 90°. It is a:

Explanation:

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Question (32)

The diagonals of a square divide the square into:

Explanation:

Link:

Question (33)

If a rectangle has diagonals of length 18 cm, then each half-diagonal measures:

Explanation:

Link:

Question (34)

Which quadrilateral always has equal diagonals and four right angles?

Explanation:

Link:

Question (35)

A square and a rectangle both have:

Explanation:

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Question (36)

In a square, the diagonals are drawn. The angle between them is:

Explanation:

Link:

Question (37)

If a square has perimeter 40 cm, then each side is:

Explanation:

Link:

Question (38)

A rectangle has perimeter 50 cm and length 15 cm. The breadth is:

Explanation:

Link:

Question (39)

The diagonals of a square bisect each other and also:

Explanation:

Link:

Question (40)

Which of the following figures satisfies all properties of both a rectangle and a rhombus?

Explanation:

Link:

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