2 Angles, Included Side: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on constructing triangles given two angles and the included side (ASA), designed for problem solving and reasoning at GCSE Higher level.
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2 Angles, Included Side: 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.
Construct a triangle where one angle measures 50°, another angle measures 60°, and the included side between these angles is 8 cm. Use the grid to draw accurately.
[3 marks]2.
Calculate the third angle of a triangle with two given angles of 75° and 45°.
[2 marks]3.
Construct a triangle with angles 40° and 70°, and an included side of 5 cm. Show your steps on the grid.
[3 marks]4.
In a triangle, two angles are 65° and 80°. The included side between these angles is 6 cm. Construct this triangle and measure the third angle.
[4 marks]5.
Given a triangle with angles 55° and 85°, and the included side length of 7 cm, draw the triangle accurately.
[3 marks]6.
A triangle has two angles of 30° and 50°. If the included side between these angles is 4 cm, construct the triangle.
[3 marks]7.
Explain why two triangles with the same two angles and included side are congruent.
[3 marks]8.
Identify and correct the mistake in this triangle construction: Angles 60° and 40°, included side 6 cm, but the drawn triangle does not close properly.
[3 marks]9.
Construct a triangle with angles 35° and 75°, and an included side of 6.5 cm. Then, verify your construction by measuring the angles.
[3 marks]10.
Using the grid, plot the graph of y = 2x for x values from 0 to 5, then construct a triangle where the included side corresponds to the segment between (0,0) and (2,4).
[3 marks]11.
Challenge: Construct a triangle with angles 20°, 65°, and the included side of 9 cm, then explain how changing one angle affects the side length for the same ASA construction.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet