Same Arc: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the concept of angles subtended by the same arc in a circle. Designed for fluency and practice to build procedural mastery and reasoning skills.
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Full preview • 11 questions
Same Arc: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a circle, two angles subtend the same arc. If one angle measures 45°, what is the measure of the other angle?
[2 marks]2.
Calculate the angle subtended at the circumference if it subtends the same arc as a 70° angle at the center.
[2 marks]3.
On a circle, an angle of 60° subtends a certain arc. An angle subtending the same arc at a different point measures 60°. True or False?
[1 mark]4.
Construct two angles on your grid that subtend the same arc, with one measuring 30°. What is the measure of the other?
[2 marks]5.
In the diagram, two angles at the circumference are both 50°. Are they subtended by the same arc? Explain your reasoning.
[3 marks]6.
If two angles subtend the same arc and one is 80°, what is the measure of the angle at the center of the circle that subtends the same arc?
[2 marks]7.
A chord subtends a 45° angle at a point on the circle. What is the measure of the angle at the center subtending the same arc?
[2 marks]8.
A circle has two angles measuring 35° and 35° at different points, both subtending the same arc. What can you conclude about these points?
[3 marks]9.
Identify and correct the mistake: Two angles measuring 55° and 60° are said to subtend the same arc.
[3 marks]10.
Challenge: In a circle, an inscribed triangle has two angles measuring 40° and 60°. Find the third angle, assuming all are inscribed angles subtending the same arc.
[4 marks]11.
Plot the graph of y=2x on your grid. Then, construct an angle of 75° at the circumference that subtends the same arc as a 150° angle at the center.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet