F-pattern: Fluency & Practice

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the F-pattern in corresponding angles formed by parallel lines cut by a transversal, designed to develop procedural fluency and reasoning skills for Grade 6 students.

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F-pattern: Fluency & Practice

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
In the diagram, two parallel lines are cut by a transversal, forming an F-pattern. If the corresponding angle in the F-pattern is 65°, what is the measure of the matching corresponding angle?
[2 marks]
2.
Construct a diagram with two parallel lines and a transversal creating an F-pattern. Label one corresponding angle as 110°. Calculate the measure of the alternate interior angle.
[3 marks]
3.
In an F-pattern, if one corresponding angle measures 45°, what is the measure of the corresponding angle on the opposite side of the transversal?
[2 marks]
4.
Plot a diagram on the grid showing two parallel lines cut by a transversal, creating an F-pattern. Mark an angle of 70° in the F-pattern. Use the diagram to find the measure of the alternate interior angle.
[3 marks]
5.
Explain why corresponding angles in the F-pattern are equal when lines are parallel.
[3 marks]
6.
Given the diagram with two parallel lines and an F-pattern, if one corresponding angle is 120°, what is the measure of its vertically opposite angle?
[2 marks]
7.
A teacher draws two parallel lines and a transversal creating an F-pattern. If one angle is 85°, calculate the measure of the angle vertically opposite to it.
[3 marks]
8.
Identify the mistake in the following reasoning: 'Since the angles are in an F-pattern and the lines are parallel, all angles are 90°.'
[3 marks]
9.
Challenge: Construct a diagram with two parallel lines and a transversal. Mark two corresponding angles both measuring 75°. Using the properties of the F-pattern, find the measure of an alternate interior angle.
[4 marks]
10.
In a real-world scenario, a railway track crossing pattern creates parallel lines. If the angle between the crossing lines and the transversal track is 60°, what is the measure of the corresponding angle on the other side?
[3 marks]
11.
Mixed Review: On the grid, draw two parallel lines and a transversal. Mark three angles: one of 50°, a corresponding angle, and an alternate interior angle. Verify their measures and justify.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet