C-pattern: Problem Solving & Reasoning

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the C-pattern formed by co-interior angles when two parallel lines are cut by a transversal. Designed to develop problem-solving and reasoning skills related to this geometric concept.

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C-pattern: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
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. If one of the co-interior angles in the C-pattern measures 65°, find the other co-interior angle in the same C-pattern.
[2 marks]
2.
Construct two parallel lines cut by a transversal so that the co-interior angles in the C-pattern are 80° and 100° respectively. Use the grid to draw accurately.
[3 marks]
3.
A pair of parallel lines are cut by a transversal. If one co-interior angle is 70°, what is the measure of the corresponding alternate interior angle?
[2 marks]
4.
Plot the graph of y = 2x and then draw two parallel lines that form a C-pattern with a co-interior angle of 60°. Label the angles correctly.
[3 marks]
5.
In a real-world scenario, a road is designed with two parallel lines representing lanes. A transversal road intersects them, creating a C-pattern of angles. If one of the angles measures 55°, what is the measure of the alternate co-interior angle?
[3 marks]
6.
Calculate the missing angle in a C-pattern where one co-interior angle is 120°.
[2 marks]
7.
Construct two parallel lines cut by a transversal such that the co-interior angles are 45° and 135°. Use the grid for accuracy.
[3 marks]
8.
Identify and correct the mistake: A student claims that when two lines are cut by a transversal, the co-interior angles in the C-pattern always add up to 180°.
[2 marks]
9.
Given two parallel lines cut by a transversal, if the co-interior angles are 95°, what are the measures of the corresponding angles?
[2 marks]
10.
In a diagram, two lines are cut by a transversal. The co-interior angles are 110° and x°. Use reasoning to find x°.
[3 marks]
11.
Explain why co-interior angles formed by parallel lines are supplementary. Use reasoning based on the C-pattern.
[3 marks]

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Details

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