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Question (11)

QN0030808

During angle bisection, points A and B are first marked on the two arms of the angle such that

(A) OA > OB
(B) OA < OB
(C) OA = OB
(D) OA = 2OB

Correct Answer: C

Explanation:

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Question (12)

QN0030809

A 90° angle is bisected. Each resulting angle measures

(A) 22.5°
(B) 30°
(C) 45°
(D) 60°

Correct Answer: C

Explanation:

90° ÷ 2 = 45°.

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Question (13)

QN0030810

If a 60° angle is bisected, the measure of each part is

(A) 15°
(B) 20°
(C) 30°
(D) 45°

Correct Answer: C

Explanation:

60° ÷ 2 = 30°.

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Question (14)

QN0030811

In the construction of an angle bisector, why are equal-radius arcs drawn from points A and B?

(A) To make two congruent triangles
(B) To measure the angle directly
(C) To find the midpoint of AB
(D) To draw a parallel line

Correct Answer: A

Explanation:

Equal-radius arcs help form congruent triangles, ensuring equal angles.

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Question (15)

QN0030812

A student constructs a 45° angle and then bisects it. What is the measure of each resulting angle?

(A) 11.25°
(B) 15°
(C) 22.5°
(D) 30°

Correct Answer: C

Explanation:

45° ÷ 2 = 22.5°.

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Question (16)

QN0030813

Which of the following constructions is used as the basis for constructing a 45° angle using only a ruler and compass?

(A) Construct a 60° angle and double it
(B) Construct a 90° angle and bisect it
(C) Construct a 30° angle and add 15°
(D) Construct two 22.5° angles

Correct Answer: B

Explanation:

A 45° angle is obtained by bisecting a 90° angle.

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Question (17)

QN0030814

While copying an angle, the first step after drawing the new ray is to

(A) Measure the angle with a protractor
(B) Draw an arc of the same radius as the original angle
(C) Draw a perpendicular line
(D) Draw a parallel line

Correct Answer: B

Explanation:

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Question (18)

QN0030815

A student copies an angle correctly using only a ruler and compass. Which property guarantees that the copied angle equals the original angle?

(A) SAS congruence
(B) SSS congruence
(C) RHS congruence
(D) ASA congruence

Correct Answer: B

Explanation:

The copied construction forms two congruent triangles by the SSS criterion.

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Question (19)

QN0030816

While copying an angle, the distance between the two points where the arc cuts the arms of the original angle is transferred because it represents

(A) the radius of the circle
(B) the side needed for SSS congruence
(C) the diameter
(D) the angle bisector

Correct Answer: B

Explanation:

This transferred length helps construct congruent triangles using SSS.

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Question (20)

QN0030817

A transversal intersects a line m. To construct a line through another point parallel to m, we must construct

(A) an equal corresponding angle
(B) an angle of 180°
(C) an angle bisector only
(D) a perpendicular bisector only

Correct Answer: A

Explanation:

Equal corresponding angles ensure that the two lines are parallel.

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Question (11)

During angle bisection, points A and B are first marked on the two arms of the angle such that

Explanation:

Link:

Question (12)

A 90° angle is bisected. Each resulting angle measures

Explanation:

Link:

Question (13)

If a 60° angle is bisected, the measure of each part is

Explanation:

Link:

Question (14)

In the construction of an angle bisector, why are equal-radius arcs drawn from points A and B?

Explanation:

Link:

Question (15)

A student constructs a 45° angle and then bisects it. What is the measure of each resulting angle?

Explanation:

Link:

Question (16)

Which of the following constructions is used as the basis for constructing a 45° angle using only a ruler and compass?

Explanation:

Link:

Question (17)

While copying an angle, the first step after drawing the new ray is to

Explanation:

Link:

Question (18)

A student copies an angle correctly using only a ruler and compass. Which property guarantees that the copied angle equals the original angle?

Explanation:

Link:

Question (19)

While copying an angle, the distance between the two points where the arc cuts the arms of the original angle is transferred because it represents

Explanation:

Link:

Question (20)

A transversal intersects a line m. To construct a line through another point parallel to m, we must construct

Explanation:

Link:

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