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2.01 Geometrical terminology

Worksheet
Points, segments, rays and lines
1

Identify each of the following as lines, rays or segments:

a
b
c
d
e
f
g
h
2

Draw the following geometric objects:

a

The line through F and G.

b

The segment B A.

c

The ray from P through Q.

d

The ray from Z through Y.

e

The line through E and F.

f

The segment E G.

g

The ray from A through B.

3

Describe each of the following geometric objects, using the points A and B:

a
b
c
4

This diagram shows a line through P, Q, and R:

Describe the ray that is the same as the ray from P through R.

5

The following diagrams each show two lines intersecting at X:

a

Describe a line that is the same as the line through X and Q.

b

Identify a ray that is the same as the ray from C through A.

6

In the following diagrams, name the equal sides:

a
b
c
Angles
7

State whether the following are acute, obtuse or reflex angles:

a
b
c
d
8

In the given diagram, the angle can be labelled \angle ABC. Write another way of labelling the same angle.

9

Name the angles that are highlighted in the following diagrams:

a
b
c
d
e
f
g
10

Name the equal angles in the following diagrams:

a
b
c
d
e
f
11

Name the side that is directly opposite the angle \angle DFE in the following diagram:

12

Consider the triangle \triangle EDF:

a

Name the angle that is directly opposite the segment DE.

b

Name the segment that is directly opposite the angle \angle EDF.

Perpendicular and parallel lines
13
a

How are perpendicular lines or segments marked on a diagram?

b

Draw an example of correctly marked perpendicular lines.

c

Draw an example of correctly marked line segments which are perpendicular and begin at the same point.

d

Draw the following: the line through M and N is perpendicular to the line through P and Q and the lines intersect at O.

14
a

How are parallel lines or segments marked on a diagram?

b

Draw an example of correctly marked parallel lines.

15

State which of the following diagrams shows:

a

A pair of parallel segments.

b

A pair of parallel lines.

A
B
C
D
16

State the pair(s) of parallel line segments indicated in the following diagrams:

a
b
17

Describe what the symbols on the sides of the following shape indicate:

18

For each of the following figures:

i

List pairs of parallel lines or segments.

ii

List pairs of perpendicular lines or segments.

a
b
c
d
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Outcomes

ACMEM107

use symbols and conventions for the representation of geometric information; for example, point, line, ray, angle, diagonal, edge, curve, face and vertex

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