Circle Theorems and Angle Measures

Circle Theorems and Angle Measures

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers theorems related to angles formed by chords, tangents, and secants in relation to a circle. It explains Theorem 10.12, which deals with angles inside a circle formed by intersecting chords, and Theorem 10.13, which addresses angles outside a circle formed by tangents and secants. The video provides detailed explanations and examples to illustrate how to calculate these angles using the measures of intercepted arcs.

Read more

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the position of the vertex when an angle is formed by a tangent line and a chord?

Outside the circle

Inside the circle

At the center of the circle

On the circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to Theorem 10.12, what is the measure of an angle formed by two intersecting chords inside a circle?

Half the difference of the intercepted arcs

Twice the sum of the intercepted arcs

The sum of the intercepted arcs

Half the sum of the intercepted arcs

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem explains the relationship between angles formed by intersecting chords inside a circle?

Theorem 10.11

Theorem 10.13

Theorem 10.12

Theorem 10.14

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two chords intersect inside a circle, which arcs are used to calculate the angle measure?

The arcs intercepted by the diameter

Only the larger arc

The arcs intercepted by the angle and its vertical angle

Only the smaller arc

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying Theorem 10.12, what operation is performed on the measures of the intercepted arcs?

Subtraction

Addition

Division

Multiplication

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of Theorem 10.12, what is the relationship between angles 1 and 2?

They are complementary

Angle 2 is twice angle 1

Angle 1 is twice angle 2

They are equal

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key difference between angles inside and outside the circle?

The number of chords involved

The size of the circle

The position of the vertex

The type of lines forming the angle

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?