Parallel Lines: Fluency & Practice
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the properties of parallel lines, especially the loci of points equidistant from lines, designed for Grade 8 students.
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Parallel Lines: Fluency & Practice
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct two parallel lines on the grid separated by a distance of 4 cm. Draw and label the lines.
[3 marks]2.
Plot the graph of y = 2x + 1 and then construct a line parallel to it passing through the point (4, 5).
[3 marks]3.
Calculate the distance between the parallel lines y = 3x + 2 and y = 3x - 4.
[2 marks]4.
Explain why the distance between two parallel lines remains constant everywhere.
[3 marks]5.
Construct a pair of parallel lines such that the perpendicular distance between them is 5 cm. Label the lines.
[3 marks]6.
A transversal crosses two parallel lines creating angles. If one interior angle is 70°, what are the measures of the corresponding and alternate interior angles?
[3 marks]7.
Solve for x: the lines y = x + 2 and y = 3x - 4 are parallel. Find the value of x.
[2 marks]8.
Identify and correct the mistake: Two lines are said to be parallel because they intersect at a point.
[2 marks]9.
Determine whether the lines y = -2x + 3 and 2x + y = 7 are parallel, perpendicular, or neither. Show your working.
[4 marks]10.
A park has two straight paths running parallel. The distance between them is 10 meters. If a drone flies from the midpoint of one path directly across to the midpoint of the other, how far does it fly? (Assume straight line crossing).
[3 marks]11.
Construct a line parallel to y = -x + 2 passing through the point (3, 4), using the grid. Write the equation of the new line.
[3 marks]12.
What is the key property of parallel lines that allows us to use the same slope in their equations? Explain briefly.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet