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Question (31)

QN0015737

Alternate angles are formed when a transversal intersects:

(A) One line
(B) A circle
(C) A pair of parallel lines
(D) A triangle only

Correct Answer: C

Explanation:

Alternate angles are considered for a transversal cutting parallel lines.

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Question (32)

QN0015738

Alternate angles formed by a transversal on parallel lines are always:

(A) Equal
(B) Supplementary only
(C) Complementary
(D) Unequal

Correct Answer: A

Explanation:

Alternate angles are equal for parallel lines.

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Question (33)

QN0015739

Parallel lines are cut by a transversal. If an angle is 120°, its alternate angle is:

(A) 60°
(B) 120°
(C) 90°
(D) 180°

Correct Answer: B

Explanation:

Alternate angles are equal.

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Question (34)

QN0015740

Two parallel lines are cut by a transversal. One interior angle is 58°. The interior angle on the same side of the transversal is:

(A) 58°
(B) 122°
(C) 90°
(D) 180°

Correct Answer: B

Explanation:

Interior angles on the same side add up to 180°. 180° − 58° = 122°.

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Question (35)

QN0015741

Interior angles on the same side of a transversal between two parallel lines always add up to:

(A) 90°
(B) 120°
(C) 180°
(D) 360°

Correct Answer: C

Explanation:

Same-side interior angles are supplementary.

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Question (36)

QN0015742

Parallel lines are cut by a transversal. If one interior angle is 84°, the interior angle on the same side is:

(A) 84°
(B) 96°
(C) 106°
(D) 180°

Correct Answer: B

Explanation:

180° − 84° = 96°.

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Question (37)

QN0015743

A student draws two different lines perpendicular to the same line on a plane. The two drawn lines are:

(A) Intersecting
(B) Perpendicular
(C) Parallel
(D) Coincident

Correct Answer: C

Explanation:

Lines perpendicular to the same line are parallel.

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Question (38)

QN0015744

To draw a line through point A parallel to a given line using a ruler and set square, the key idea used is:

(A) Equal corresponding angles
(B) Equal vertically opposite angles
(C) Equal alternate angles only
(D) Reflex angles

Correct Answer: A

Explanation:

Equal corresponding angles ensure the lines are parallel.

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Question (39)

QN0015745

In paper folding, a line l is given. A fold t is made perpendicular to l through point A. Another fold m is made perpendicular to t through A. Then l and m are:

(A) Intersecting
(B) Parallel
(C) Coincident
(D) Perpendicular

Correct Answer: B

Explanation:

Both lines are perpendicular to the same line t, so they are parallel.

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Question (40)

QN0015746

Which statement correctly explains why geometry sometimes differs slightly from actual measurements?

(A) Angles change with time
(B) Ideal geometric lines have no thickness
(C) Protractors always give wrong readings
(D) Straight lines are never exact

Correct Answer: B

Explanation:

Geometric lines are ideal and have no thickness, unlike drawn lines.

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Question (31)

Alternate angles are formed when a transversal intersects:

Explanation:

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Question (32)

Alternate angles formed by a transversal on parallel lines are always:

Explanation:

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Question (33)

Parallel lines are cut by a transversal. If an angle is 120°, its alternate angle is:

Explanation:

Link:

Question (34)

Two parallel lines are cut by a transversal. One interior angle is 58°. The interior angle on the same side of the transversal is:

Explanation:

Link:

Question (35)

Interior angles on the same side of a transversal between two parallel lines always add up to:

Explanation:

Link:

Question (36)

Parallel lines are cut by a transversal. If one interior angle is 84°, the interior angle on the same side is:

Explanation:

Link:

Question (37)

A student draws two different lines perpendicular to the same line on a plane. The two drawn lines are:

Explanation:

Link:

Question (38)

To draw a line through point A parallel to a given line using a ruler and set square, the key idea used is:

Explanation:

Link:

Question (39)

In paper folding, a line l is given. A fold t is made perpendicular to l through point A. Another fold m is made perpendicular to t through A. Then l and m are:

Explanation:

Link:

Question (40)

Which statement correctly explains why geometry sometimes differs slightly from actual measurements?

Explanation:

Link:

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