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iGCSE (2021 Edition)

7.03 Parallel lines and transversals

Worksheet
Parallel lines and transversals
1
a

How are parallel lines or segments marked on a diagram?

b

Draw an example of correctly marked parallel lines.

2

Identify the types of angles formed by the transveral in the following diagrams:

a
b
3

For the marked angle in each the following diagrams, name the angle which is:

i

Alternate

ii

Corresponding

a
b
4

For each of the following diagrams, state whether the diagram contains parallel lines. Explain your answer.

a
b
c
d
e
5

For each of the following diagrams, find the value of x:

a
b
c
d
6

Consider the following diagram:

a

How are \angle BPD and \angle AQE related?

b

How are \angle AQE and \angle DQE related?

c

If \angle BPD = 84 \degree, find the value of \angle DQE.

7

Consider the following diagram:

a

Find the value of x.

b

Find the value of y.

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Outcomes

0607C5.1

Use and interpret the geometrical terms: acute, obtuse, right angle, reflex, parallel, perpendicular, congruent, similar. Use and interpret vocabulary of triangles, quadrilaterals, polygons and simple solid figures.

0607C5.4B

Alternate and corresponding angles on parallel lines.

0607E5.1

Use and interpret the geometrical terms: acute, obtuse, right angle, reflex, parallel, perpendicular, congruent, similar. Use and interpret vocabulary of triangles, quadrilaterals, polygons and simple solid figures.

0607E5.4B

Alternate and corresponding angles on parallel lines.

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