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Question (11)

QN0019502

If a square has area 18 cm², the square on its diagonal has area:

(A) 24 cm²
(B) 30 cm²
(C) 36 cm²
(D) 72 cm²

Correct Answer: C

Explanation:

Area doubles: 18 × 2 = 36 cm².

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Question (12)

QN0019503

Which property helps prove that all small triangles in the construction are equal?

(A) Symmetry
(B) Congruence
(C) Reflection
(D) Rotation

Correct Answer: B

Explanation:

Congruent triangles have equal shape and size.

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Question (13)

QN0019504

A square has area 49 cm². The doubled square has area:

(A) 56 cm²
(B) 84 cm²
(C) 98 cm²
(D) 196 cm²

Correct Answer: C

Explanation:

49 × 2 = 98 cm².

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Question (14)

QN0019505

A square of side 8 cm has area 64 cm². The square on its diagonal has area:

(A) 96 cm²
(B) 128 cm²
(C) 144 cm²
(D) 256 cm²

Correct Answer: B

Explanation:

64 × 2 = 128 cm².

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Question (15)

QN0019506

The extension of horizontal and vertical sides passes through vertices of the dotted square because these sides:

(A) Are parallel
(B) Bisect the angles
(C) Are equal
(D) Are perpendicular only

Correct Answer: B

Explanation:

They bisect the angles of the dotted square.

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Question (16)

QN0019507

If the original square has area 81 m², the doubled square has area:

(A) 121 m²
(B) 144 m²
(C) 162 m²
(D) 243 m²

Correct Answer: C

Explanation:

81 × 2 = 162 m².

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Question (17)

QN0019508

Doubling the side length of a square changes its area by a factor of:

(A) 2
(B) 3
(C) 4
(D) 8

Correct Answer: C

Explanation:

Area depends on the square of the side length.

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Question (18)

QN0019509

The diagonal of a square divides it into:

(A) Two congruent triangles
(B) Two rectangles
(C) Four squares
(D) Four triangles

Correct Answer: A

Explanation:

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Question (19)

QN0019510

A square of side 7 cm is given. The square on its diagonal has area:

(A) 49 cm²
(B) 70 cm²
(C) 98 cm²
(D) 196 cm²

Correct Answer: C

Explanation:

49 × 2 = 98 cm².

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Question (20)

QN0019511

If the area of the original square is A, then the area of the square on its diagonal is:

(A) A/2
(B) A
(C) 2A
(D) 4A

Correct Answer: C

Explanation:

The area doubles according to Baudhāyana’s rule.

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Question (11)

If a square has area 18 cm², the square on its diagonal has area:

Explanation:

Link:

Question (12)

Which property helps prove that all small triangles in the construction are equal?

Explanation:

Link:

Question (13)

A square has area 49 cm². The doubled square has area:

Explanation:

Link:

Question (14)

A square of side 8 cm has area 64 cm². The square on its diagonal has area:

Explanation:

Link:

Question (15)

The extension of horizontal and vertical sides passes through vertices of the dotted square because these sides:

Explanation:

Link:

Question (16)

If the original square has area 81 m², the doubled square has area:

Explanation:

Link:

Question (17)

Doubling the side length of a square changes its area by a factor of:

Explanation:

Link:

Question (18)

The diagonal of a square divides it into:

Explanation:

Link:

Question (19)

A square of side 7 cm is given. The square on its diagonal has area:

Explanation:

Link:

Question (20)

If the area of the original square is A, then the area of the square on its diagonal is:

Explanation:

Link:

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