﻿ Plane in Geometry Worksheet | Problems & Solutions

# Plane in Geometry Worksheet

Plane in Geometry Worksheet
• Page 1
1.
How many line segments does the figure have?

 a. 8 b. 6 c. 2 d. 4

#### Solution:

A line that has a fixed length and has two end points is called a line segment.

The given figure is a parallelogram which is made up of 4 line segments.

2.
How many line segments does the figure have?

 a. 9 b. 6 c. 8 d. 10

#### Solution:

A line that has a fixed length and has two end points is called a line segment.

The given figure is an octagon which is made up of eight line segments.

3.
How many points does the square shown have?

 a. 8 b. 4 c. 9 d. 6

#### Solution:

A point has no length, width, or thickness.

M, N, O, and P are the points of the square MNOP.

So, the number of points on the square MNOP are 4.

4.
Which of these is one of the line segments in the rhombus shown?

 a. A, B, C, and D b. AC and BD c. $\stackrel{‾}{\mathrm{AC}}$ and $\stackrel{‾}{\mathrm{BD}}$ d. $\stackrel{‾}{\mathrm{DA}}$

#### Solution:

A line that has a fixed length and has two end points is called a line segment.

Among the given choices, DA represents the line segment of the rhombus ABCD.

5.
Name the points that are located on the parallelogram.

 a. Only S and R b. PQ, QR, RS, and SP c. P, Q, R, and S d. only P, Q, and R

#### Solution:

A point has no length, width, or thickness.

So, P,Q, R, and S are the points of parallelogram PQRS.

6.
Which figure shows a pair of parallel lines?

 a. Figure 2 b. Figure 3 c. Figure 1 d. Figure 4

#### Solution:

The lines shown in Figure 1 will intersect when they are elongated. The lines shown in Figure 2 and 3 intersect.

The lines shown in Figure 4 never intersect.

Figure 4 represents a pair of parallel lines.

7.
Which figure shows a pair of intersecting lines?

 a. Figure 4 b. Figure 2 c. Figure 3 d. Figure 1

#### Solution:

Intersecting lines cross at a point.

Figure 2 has two lines, which intersect.

Figure 2 represents a pair of intersecting lines.

8.
Which figure shows a pair of lines that are neither parallel nor perpendicular to each other?

 a. Figure 4 b. Figure 2 c. Figure 3 d. Figure 1

#### Solution:

Parallel lines are the lines in the same plane that do not intersect.

The lines in Figure 1 and Figure 4 represent parallel lines.

Lines that meet or cross one another at right angles are perpendicular to one another.

The lines in Figure 2 represent perpendicular lines.

The lines in Figure 3 are neither parallel nor perpendicular lines.

9.
Which street is perpendicular to the Bay Street?

 a. Webster Street b. Fillmore Street c. Beach Street d. Buchanan Street

#### Solution:

The lines that never intersect and lie in the same plane are called parallel lines.

Therefore, Beach Street is parallel to the Bay Street.

10.
Which of the lines represents a ray?

 a. Figure 1 b. Figure 4 c. Figure 3 d. Figure 2

#### Solution:

A ray is part of a line, which begins at a fixed end point.

So, a ray has one fixed end and the other end can be extended to any length.

Among the figures, Figure 1 has only one end point. So, it is a ray.