# Lines Worksheets

Lines Worksheets
• Page 1
1.
At how many points do two parallel lines intersect?
 a. 2 b. 3 c. 1

#### Solution:

Two parallel lines never intersect each other.

So, they intersect at zero points.

2.
Name all the points in the figure.

 a. P and R b. P, Q, R and S c. Q and S d. P and Q

#### Solution:

A point is a location in space and it has no size and it is represented by a dot (.) on any surface.

So, the points in the figure are P, Q, R and S.

3.
What are the lines that are perpendicular to the line ST in the rectangular prism?

 a. No lines are perpendicular to ST b. QR and MP c. OP, MN, and OT d. RS, QT, NS, and OT

#### Solution:

Two lines are said to be perpendicular only when the angle between the lines is 90o.

The lines RS, QT, NS and OT are perpendicular to the line ST.

4.
Name all the points in the figure.

 a. A, D, E and G b. D and E c. B, C, F and H d. A, B, C, D, E, F, G and H

#### Solution:

A point is a location in space and it has no size and it is represented by a dot (.) on any surface.

The points in the figure are A, B, C, D, E, F, G and H.

5.
Lines that are passing through the same point are called ____________.
 a. Concurrent lines b. Collinear lines c. Both Concurrent and Collinear lines d. Nothing to say more than lines

#### Solution:

Lines that are passing through the same point are called concurrent lines and the intersecting point of the lines is called concurrent point of the lines.

6.
AB is a line segment of length 22 cm. CD is the perpendicular bisector of AB. Find the length of AO and OB.

 a. 12 cm and 11 cm b. 11 cm and 13 cm c. 12 cm and 12 cm d. 11 cm and 11 cm

#### Solution:

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

The length of AB is 22 cm and CD is the perpendicular bisector of AB.

So, AO = OB = AB2 = 222 = 11
[Substitute AB = 22.]

AO = OB = 11 cm

7.
PQ is a line segment of length 12 units. R is a point on PQ such that PR is ($\frac{3}{4}$)th of PQ. Find the measures of PR and RQ.

 a. 9 units and 3 units b. 10 units and 2 units c. 8 units and 4 units d. 7 units and 5 units

#### Solution:

The length of PQ = 12 units.

PR = (34)(PQ)

PR = (34)(12) = 3 x 3 = 9

RQ = PQ - PR = 12 - 9 = 3
[Substitute PQ = 12 and PR = 9]

PR = 9 units and RQ = 3 units.

8.
Which of the following statements define the perpendicular bisector of a segment?
 a. A line that is perpendicular to a segment at its midpoint. b. A line that is perpendicular to a segment at any point. c. A line that is perpendicular to a segment at its beginning point. d. None of the above

#### Solution:

Perpendicular bisector of a segment is the line that is perpendicular to the segment at its midpoint.

9.
How many line segments are there in the figure?

 a. 4 b. 5 c. 2 d. 3

#### Solution:

A segment is a part of a line having exactly two end points.

The segments in the figure are BC, CD, BD, AC.
[Identify the parts of line with exactly two end points.]

So, there are four segments in the figure.

10.
How many pairs of adjacent line segments are there in the figure?

 a. 2 b. 3 c. 4 d. No adjacent pairs

#### Solution:

Lines which originate from a common point are adjacent.

The adjacent pairs of lines in the figure are AB and BC, BC and CA, AB and AC.

So, there are 3 pairs of adjacent line segments in the figure.