Properties of Angles in Circles

Properties of Angles in Circles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the properties of inscribed angles in semicircles, highlighting that an inscribed angle in a semicircle is always 90° due to its intercepted arc being 180°. It also covers the properties of chords and tangents, emphasizing that the angle formed by a chord and a tangent is half of its intercepted arc. These concepts are crucial for solving problems involving missing angles in circles.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the special property of an angle inscribed in a semicircle?

It is always 45°.

It is always 60°.

It is always 90°.

It is always 120°.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you identify a diameter in a circle?

It is parallel to the tangent.

It is perpendicular to the radius.

It is the longest chord in the circle.

It passes through the center of the circle.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of the intercepted arc in a semicircle?

180°

90°

120°

150°

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What fraction of the intercepted arc is an inscribed angle?

One-third

One-fourth

One-half

Equal

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle intercepts a 180° arc, what is the angle's measure?

45°

60°

120°

90°

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the inscribed angle if the intercepted arc is increased?

The angle increases.

The angle decreases.

The angle remains the same.

The angle becomes obtuse.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of an inscribed angle if the intercepted arc is 90°?

60°

45°

90°

30°

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