Circle Geometry: Angles and Arcs

Circle Geometry: Angles and Arcs

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial reviews key concepts in geometry related to angles in circles. It covers central angles, which have their vertex at the center of the circle and have an arc measure equal to the angle measure. Inscribed angles, with vertices on the circle, have an angle measure that is half the arc measure. Lastly, it discusses angles formed by two chords inside the circle, where the angle measure is half the sum of the measures of the arcs they intercept.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main characteristic of a central angle?

It has a vertex at the center of the circle.

It has a vertex on the circle.

It is half the measure of the arc.

It is always 90 degrees.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a central angle measures 60 degrees, what is the measure of its arc?

60 degrees

120 degrees

30 degrees

90 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where is the vertex of an inscribed angle located?

Inside the circle but not on it

Outside the circle

On the circle

At the center of the circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the measure of an inscribed angle?

It is half the arc measure.

It is the sum of the arc measures.

It is double the arc measure.

It is equal to the arc measure.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle measures 30 degrees, what is the measure of its arc?

60 degrees

120 degrees

30 degrees

90 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is formed when two chords intersect inside a circle?

An angle with a vertex inside the circle

An inscribed angle

A central angle

A tangent angle

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the measure of an angle formed by two intersecting chords?

It is equal to the arc measure.

It is half the sum of the measures of the arcs.

It is double the arc measure.

It is the difference of the arc measures.

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