Angles and Their Relationships

Angles and Their Relationships

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers central and inscribed angles in geometry. It explains that a central angle has its vertex at the center of a circle and its measure equals the arc it subtends. An inscribed angle has its vertex on the circle's edge and its measure is half of the central angle subtending the same arc. The video provides examples and practice problems to illustrate these concepts, emphasizing that inscribed angles with the same endpoints have equal measures.

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22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex location of a central angle?

On the edge of the circle

At the center of the circle

Outside the circle

Anywhere inside the circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the measure of a central angle compare to the arc it subtends?

It is half the measure of the arc

It is double the measure of the arc

It is equal to the measure of the arc

It is unrelated to the measure of the arc

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where is the vertex of an inscribed angle located?

Anywhere inside the circle

Outside the circle

On the edge of the circle

At the center of the circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between an inscribed angle and the central angle subtending the same arc?

The inscribed angle is equal to the central angle

The inscribed angle is half the central angle

The inscribed angle is double the central angle

The inscribed angle is unrelated to the central angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of an inscribed angle if the central angle subtending the same arc is 120 degrees?

60 degrees

120 degrees

90 degrees

30 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If angle BAC is 120 degrees, what is the measure of arc BC?

180 degrees

90 degrees

60 degrees

120 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of angle BAC if angle BDC is 60 degrees?

90 degrees

60 degrees

120 degrees

180 degrees

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