Inscribed Angles and Arcs

Inscribed Angles and Arcs

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial by Mr. Backberg explores inscribed angles within circles. It explains that an inscribed angle has its vertex on the circle's edge and its sides as chords. The video details the relationship between the measure of an inscribed angle and the arc it intercepts, stating that the angle is half the arc's measure. Examples are provided to illustrate this concept, and the video also introduces the property that inscribed angles intercepting the same arc are congruent.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the defining characteristic of an inscribed angle in a circle?

Its vertex is on the outer edge of the circle.

Its vertex is at the center of the circle.

It is always an obtuse angle.

It is always a right angle.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following statements is true about the sides of an inscribed angle?

They are radii of the circle.

They are diameters of the circle.

They are tangents to the circle.

They are chords of the circle.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the measure of an inscribed angle related to the arc it intercepts?

It is twice the arc's measure.

It is half the arc's measure.

It is one-third the arc's measure.

It is equal to the arc's measure.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle measures 30°, what is the measure of the arc it intercepts?

90°

60°

30°

15°

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle measures 45°, what is the measure of the arc it intercepts?

45°

180°

90°

135°

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle measures 20°, what is the measure of the arc it intercepts?

20°

40°

60°

80°

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle measures 35°, what is the measure of the arc it intercepts?

140°

35°

70°

105°

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