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12.01 Geometrical diagrams

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

5

The following diagrams each show two lines interesecting 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

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.

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