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Question (31)

QN0015817

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

(A) 90°
(B) 180°
(C) 270°
(D) 360°

Correct Answer: B

Explanation:

Same-side interior angles are supplementary.

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Question (32)

QN0015818

If one interior angle on the same side of a transversal is 72°, the other is:

(A) 108°
(B) 72°
(C) 118°
(D) 90°

Correct Answer: A

Explanation:

180° − 72° = 108°.

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Question (33)

QN0015819

Two lines are intersected by a transversal. A pair of corresponding angles are 65° and 65°. Which conclusion is correct?

(A) Lines are perpendicular
(B) Lines are parallel
(C) Lines intersect at right angles
(D) No conclusion can be made

Correct Answer: B

Explanation:

Equal corresponding angles imply parallel lines.

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Question (34)

QN0015820

Using a ruler and set square, two lines drawn perpendicular to the same line are:

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

Correct Answer: B

Explanation:

Lines perpendicular to the same line are parallel.

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Question (35)

QN0015821

While paper folding, line t is made perpendicular to l and line m is made perpendicular to t. Therefore l and m are:

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

Correct Answer: C

Explanation:

Both lines are perpendicular to the same line.

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Question (36)

QN0015822

Why are l and m parallel in the paper-folding activity?

(A) They have equal lengths
(B) They share a point
(C) Corresponding angles are equal (90°)
(D) They are diagonal folds

Correct Answer: C

Explanation:

Equal corresponding angles prove parallelism.

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Question (37)

QN0015823

Which statement is TRUE?

(A) Equal alternate angles imply parallel lines.
(B) Parallel lines intersect at one point.
(C) Corresponding angles are never equal.
(D) A transversal forms only four angles.

Correct Answer: A

Explanation:

Equal alternate angles imply the lines are parallel.

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Question (38)

QN0015824

A student draws two lines that seem parallel, but they lie on different plane surfaces. According to the chapter, they are:

(A) Parallel
(B) Not necessarily parallel
(C) Perpendicular
(D) Coincident

Correct Answer: B

Explanation:

Parallel lines must lie on the same plane.

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Question (39)

QN0015825

In Activity 3, if the two distinct angles formed are 60° and 120°, the sum of these two distinct angle measures is:

(A) 90°
(B) 120°
(C) 180°
(D) 240°

Correct Answer: C

Explanation:

60° + 120° = 180°.

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Question (40)

QN0015826

The idea that equal corresponding angles are both necessary and sufficient to prove two lines parallel comes from:

(A) Measurement only
(B) Guesswork
(C) Relationship between transversals and parallel lines
(D) Area formulas

Correct Answer: C

Explanation:

It is based on the properties of transversals and parallel lines.

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Question (31)

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

Explanation:

Link:

Question (32)

If one interior angle on the same side of a transversal is 72°, the other is:

Explanation:

Link:

Question (33)

Two lines are intersected by a transversal. A pair of corresponding angles are 65° and 65°. Which conclusion is correct?

Explanation:

Link:

Question (34)

Using a ruler and set square, two lines drawn perpendicular to the same line are:

Explanation:

Link:

Question (35)

While paper folding, line t is made perpendicular to l and line m is made perpendicular to t. Therefore l and m are:

Explanation:

Link:

Question (36)

Why are l and m parallel in the paper-folding activity?

Explanation:

Link:

Question (37)

Which statement is TRUE?

Explanation:

Link:

Question (38)

A student draws two lines that seem parallel, but they lie on different plane surfaces. According to the chapter, they are:

Explanation:

Link:

Question (39)

In Activity 3, if the two distinct angles formed are 60° and 120°, the sum of these two distinct angle measures is:

Explanation:

Link:

Question (40)

The idea that equal corresponding angles are both necessary and sufficient to prove two lines parallel comes from:

Explanation:

Link:

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