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iGCSE (2021 Edition)

9.01 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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Outcomes

0580C4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

0580E4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

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