WA Math 10 – Parallel and Non-Parallel Lines
Name: _______________________________
Date: ________________________________
Parallel and Non-Parallel Lines
Terminology:
Parallel Lines: Lines that have the same slope and run in the same direction
Ex:
Non-Parallel Lines: Lines that have do NOT have the same slopes as each other
Ex:
Transversal Line: A line that intersects (crosses) another line
Ex:
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WA Math 10 – Parallel and Non-Parallel Lines
Activity:
In this activity, we will be examining the properties of the angles produced by parallel, non-parallel
and transversal lines.
Part 1: Parallel Lines
Ex: The following diagram is an example of two parallel lines with a line that transverses
them:
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WA Math 10 – Parallel and Non-Parallel Lines
1. Using a ruler, draw two parallel lines and one line that transverses both of them (as from the
example).
a) Label the angles formed between the parallel and transverse lines.
b) Using a protractor, measure the angles formed between the parallel and transverse lines.
Write down the measurements on the diagram.
c) Colour the angles with the same measurement the same colour.
d) Which of the angles are equivalent?
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WA Math 10 – Parallel and Non-Parallel Lines
2. Using a ruler, draw two parallel lines and one line that transverses both of them (as from the
example).
a) Label the angles formed between the parallel and transverse lines.
b) Using a protractor, measure the angles formed between the parallel and transverse lines.
Write down the measurements on the diagram.
c) Colour the angles with the same measurement the same colour.
d) Which of the angles are equivalent?
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WA Math 10 – Parallel and Non-Parallel Lines
3. Using a ruler, draw two parallel lines and one line that transverses both of them (as from the
example).
a) Label the angles formed between the parallel and transverse lines.
b) Using a protractor, measure the angles formed between the parallel and transverse lines.
Write down the measurements on the diagram.
c) Colour the angles with the same measurement the same colour.
d) Which of the angles are equivalent?
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WA Math 10 – Parallel and Non-Parallel Lines
Part 2: Non-Parallel Lines
Ex: The following diagram is an example of two non-parallel lines with a line that transverses
them:
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WA Math 10 – Parallel and Non-Parallel Lines
4. Using a ruler, draw two non-parallel lines and one line that transverses both of them (as from
the example).
a) Label the angles formed between the non-parallel and transverse lines.
b) Using a protractor, measure the angles formed between the non-parallel and transverse
lines. Write down the measurements on the diagram.
c) Colour the angles with the same measurement the same colour.
d) Which of the angles are equivalent?
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WA Math 10 – Parallel and Non-Parallel Lines
5. Using a ruler, draw two non-parallel lines and one line that transverses both of them (as from
the example).
a) Label the angles formed between the non-parallel and transverse lines.
b) Using a protractor, measure the angles formed between the non-parallel and transverse
lines. Write down the measurements on the diagram.
c) Colour the angles with the same measurement the same colour.
d) Which of the angles are equivalent?
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WA Math 10 – Parallel and Non-Parallel Lines
6. Using a ruler, draw two non-parallel lines and one line that transverses both of them (as from
the example).
a) Label the angles formed between the non-parallel and transverse lines.
b) Using a protractor, measure the angles formed between the non-parallel and transverse
lines. Write down the measurements on the diagram.
c) Colour the angles with the same measurement the same colour.
d) Which of the angles are equivalent?
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WA Math 10 – Parallel and Non-Parallel Lines
Name: _______________________________
Date: ________________________________
Parallel and Non-Parallel Lines – Hand In
1. In Part A, did you notice a pattern about which angles were consistently equivalent? If yes,
please indicate the equivalent angles on the diagram below by colouring the equivalent angles
the same colour (you do not have to measure them). If not, why do you think that the angles
were not equivalent?
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
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WA Math 10 – Parallel and Non-Parallel Lines
2. In Part B, did you notice a pattern about which angles were consistently equivalent? If yes,
please indicate the equivalent angles on the diagram below by colouring the equivalent angles
the same colour (you do not have to measure them). If not, why do you think that the angles
were not equivalent?
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
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