2 Angles, Included Side: Fluency & Practice
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on constructing triangles when given two angles and the included side, to develop procedural mastery and problem-solving skills.
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2 Angles, Included Side: 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.
Construct a triangle where one angle measures 50°, another angle measures 60°, and the included side between these angles is 5 cm. Use the grid to draw accurately.
[3 marks]2.
Given two angles of 40° and 70° and an included side of length 6 cm, construct the triangle on the grid.
[3 marks]3.
Construct a triangle with an included side of 4 cm, one angle of 65°, and the other angle of 55°.
[3 marks]4.
Plot the triangle with angles of 45° and 75°, and the included side between these angles measuring 7 cm.
[3 marks]5.
Explain the steps you take to construct a triangle given two angles and the included side on your grid.
[4 marks]6.
If a student constructs a triangle with the given data, but the angles do not add up correctly, identify the common mistake and explain how to correct it.
[4 marks]7.
Construct a triangle with angles of 30° and 60°, and an included side of 3 cm. Then, measure and verify the angles.
[3 marks]8.
Construct two different triangles with the same two angles of 45° and 30° but different included side lengths of 4 cm and 6 cm. Describe how the size of the triangle changes.
[4 marks]9.
Challenge: Given an included side of 8 cm and two angles of 65° and 55°, construct the triangle. Then, calculate the remaining side lengths using the Law of Sines.
[5 marks]10.
Identify and correct the mistake in this construction: The angles added up to 150° instead of 180°. What went wrong?
[3 marks]11.
Construct a triangle with angles 35° and 75°, and the included side length of 5 cm. Then, verify the triangle's accuracy by measuring the angles.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet