Points, Lines, and Planes Worksheet

Points, Lines, and Planes Worksheet
  • Page 1
 1.  
What are UC and UT in the figure?


a.
Parallel lines
b.
Intersecting lines
c.
Opposite rays
d.
None of the above


Solution:

The rays that have a common starting point and which travel in opposite directions are called opposite rays.

UT and UC have U as the common starting point and are traveling in opposite directions.

The rays UC and UT are called opposite rays.


Correct answer : (3)
 2.  
How many lines can be drawn passing through a point?
a.
One
b.
Zero
c.
Infinite
d.
Two


Solution:

Infinite number of lines can be drawn passing through a point.


Correct answer : (3)
 3.  
If a line can be drawn through a set of points, then the points are called ______ points.
a.
congruent
b.
noncollinear
c.
collinear
d.
None of the above


Solution:

If a line can be drawn through a set of points, the points are collinear.

The points are called collinear points.


Correct answer : (3)
 4.  
How many rays are there in the figure?


a.
1
b.
5
c.
2
d.
3


Solution:

A ray is a part of a line. It has one end point and any number of points on one side of the end point.

A ray is named by the end point and any other point on the ray.

The rays in the figure, with C as the end point are CB, CD, CA.

The ray in the figure, with B as the end point is BD and with D as the end point is DB.

So, the total number of rays in the figure is 5.


Correct answer : (2)
 5.  
Identify the number of planes and the number of line segments in the figure.


a.
3, 5
b.
5, 8
c.
4, 6
d.
6, 8


Solution:

The pyramid contains five planes ABCD, ADE, BCE, CDE, ADE.

There are 8 line segments in the figure.


Correct answer : (2)
 6.  
Where do the two planes intersect?


a.
point B
b.
plane ABP
c.
AB
d.
point A


Solution:

If two planes intersect, then they intersect in a line.
[Postulate.]

The two planes in the figure intersect in AB.


Correct answer : (3)
 7.  
Identify which of the following can be best represented as a point.
a.
A rope
b.
A book
c.
A peanut in the play ground
d.
A bed sheet


Solution:

A point has no dimension. It is represented by a small dot.

A peanut in the play ground represents a point.


Correct answer : (3)
 8.  
Identify which of these can be best represented by a line.
a.
The corner of a room
b.
A piece of thread
c.
A small hole in a big wall
d.
The peak of a pyramid


Solution:

A line has one dimension. It extends without end in two directions.

A piece of thread represents a line.


Correct answer : (2)
 9.  
Identify which of the following can be best represented by a plane.
a.
A droplet of water on the ground
b.
Rules on a notebook paper
c.
A piece of paper
d.
A star in the sky


Solution:

A plane has two dimensions. It is represented by a shape that looks like a floor or wall.

So, a piece of paper represents a plane.


Correct answer : (3)
 10.  
In how many ways can the line be represented?


a.
5
b.
3
c.
2
d.
6


Solution:

The points P, Q ad R lie on the same line.

Choose two letters from the figure to name this line.

PQ, QP, QR, RQ, PR, RP

Therefore, the line can be represented in 6 possible ways.


Correct answer : (4)

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