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Question (1)

QN0030798

Which of the following is called the perpendicular bisector of a line segment?

(A) A line parallel to the segment
(B) A line that divides the segment into two equal parts and is perpendicular to it
(C) A line joining the endpoints of the segment
(D) A line passing through only one endpoint

Correct Answer: B

Explanation:

A perpendicular bisector divides a line segment into two equal parts at 90°.

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Question (2)

QN0030799

Bisection of a line segment means dividing it into

(A) Three equal parts
(B) Four equal parts
(C) Two identical parts
(D) Unequal parts

Correct Answer: C

Explanation:

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Question (3)

QN0030800

A point P is 6 cm from X and also 6 cm from Y. Where must P lie?

(A) On XY
(B) On the perpendicular bisector of XY
(C) At the midpoint of XY only
(D) Outside the plane

Correct Answer: B

Explanation:

Every point equidistant from the endpoints lies on the perpendicular bisector.

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Question (4)

QN0030801

While constructing the perpendicular bisector of a line segment, the compass radius should be

(A) Different for the two endpoints
(B) The same while drawing each pair of intersecting arcs
(C) Zero
(D) Exactly half the line segment

Correct Answer: B

Explanation:

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Question (5)

QN0030802

A line segment AB is 12 cm long. The perpendicular bisector intersects AB at point O. What is AO?

(A) 4 cm
(B) 5 cm
(C) 6 cm
(D) 12 cm

Correct Answer: C

Explanation:

The perpendicular bisector passes through the midpoint, so AO = 12 ÷ 2 = 6 cm.

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Question (6)

QN0030803

When the perpendicular bisector of XY meets XY at O, the angle between the bisector and XY is

(A) 45°
(B) 60°
(C) 90°
(D) 180°

Correct Answer: C

Explanation:

A perpendicular bisector always makes a right angle with the line segment.

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Question (7)

QN0030804

Which geometric tool is NOT required for constructing the perpendicular bisector of a line segment?

(A) Compass
(B) Unmarked ruler
(C) Protractor
(D) Pencil

Correct Answer: C

Explanation:

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Question (8)

QN0030805

A point lies on the perpendicular bisector of a line segment whose endpoints are A and B. If its distance from A is 8.5 cm, what is its distance from B?

(A) 4.25 cm
(B) 8.5 cm
(C) 17 cm
(D) Cannot be determined

Correct Answer: B

Explanation:

Any point on the perpendicular bisector is equidistant from both endpoints.

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Question (9)

QN0030806

To construct a 90° angle at a point O on a line, O is first made the midpoint of

(A) Any triangle
(B) Any circle
(C) A line segment on the given line
(D) A square

Correct Answer: C

Explanation:

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Question (10)

QN0030807

Which congruence criterion is used to justify the construction of the perpendicular bisector in the textbook proof?

(A) AAA
(B) SAS
(C) RHS
(D) ASA

Correct Answer: B

Explanation:

The proof uses the SAS congruence criterion.

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Question (1)

Which of the following is called the perpendicular bisector of a line segment?

Explanation:

Link:

Question (2)

Bisection of a line segment means dividing it into

Explanation:

Link:

Question (3)

A point P is 6 cm from X and also 6 cm from Y. Where must P lie?

Explanation:

Link:

Question (4)

While constructing the perpendicular bisector of a line segment, the compass radius should be

Explanation:

Link:

Question (5)

A line segment AB is 12 cm long. The perpendicular bisector intersects AB at point O. What is AO?

Explanation:

Link:

Question (6)

When the perpendicular bisector of XY meets XY at O, the angle between the bisector and XY is

Explanation:

Link:

Question (7)

Which geometric tool is NOT required for constructing the perpendicular bisector of a line segment?

Explanation:

Link:

Question (8)

A point lies on the perpendicular bisector of a line segment whose endpoints are A and B. If its distance from A is 8.5 cm, what is its distance from B?

Explanation:

Link:

Question (9)

To construct a 90° angle at a point O on a line, O is first made the midpoint of

Explanation:

Link:

Question (10)

Which congruence criterion is used to justify the construction of the perpendicular bisector in the textbook proof?

Explanation:

Link:

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