# Quiz: How Well Do You Know Inscribed Angles?

Created by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Amit Mangal
Amit Mangal, Quiz Creator
Amit, a key part of ProProfs.com, excels at crafting diverse and interactive quizzes. His enthusiasm for learning and originality shines through his work, making each quiz both fun and enlightening. Amit is committed to delivering high-quality content that keeps users engaged and informed.
Quizzes Created: 1268 | Total Attempts: 1,049,824
Questions: 10 | Attempts: 172

Settings

Welcome to the intriguing world of inscribed angles within circles! Prepare to embark on a journey of geometric discovery with the "How Well Do You Know Inscribed Angles?" quiz. This quiz is designed to test your understanding of the relationships between angles and arcs in circles.
In this quiz, you'll encounter 10 engaging multiple-choice questions that delve into the properties and characteristics of inscribed angles. From understanding the measures of angles to exploring their relationships with intercepted arcs and central angles, this quiz will challenge your knowledge of this fundamental geometry concept.
Do you know how to calculate the measure Read moreof an inscribed angle? Can you differentiate between angles that intercept minor arcs and those that intercept semicircles? Put your geometric prowess to the test and enhance your grasp of inscribed angles' intricacies.
Whether you're a mathematics enthusiast or simply curious about the world of circles and angles, this quiz promises an enlightening and enjoyable experience. Sharpen your geometric skills and take on the "How Well Do You Know Inscribed Angles?" challenge now!

• 1.

### An inscribed angle in a circle is formed by...

• A.

Two chords

• B.

Two tangents

• C.

A chord and a tangent

• D.

A chord and a diameter

A. Two chords
Explanation
An inscribed angle in a circle is formed by two chords that share the same endpoint on the circle's circumference.

Rate this question:

• 2.

### The measure of an inscribed angle is equal to...

• A.

Half the measure of its intercepted arc

• B.

Twice the measure of its intercepted arc

• C.

The measure of its intercepted arc

• D.

90 degrees minus the measure of its intercepted arc

A. Half the measure of its intercepted arc
Explanation
The measure of an inscribed angle is half the measure of the intercepted arc it spans on the circle.

Rate this question:

• 3.

### In an inscribed quadrilateral, opposite angles are...

• A.

Congruent

• B.

Supplementary

• C.

Complementary

• D.

Equal

B. Supplementary
Explanation
In an inscribed quadrilateral, opposite angles are supplementary, meaning their measures add up to 180 degrees.

Rate this question:

• 4.

### If a central angle and an inscribed angle intercept the same arc, the central angle is...

• A.

Equal to the inscribed angle

• B.

Half the measure of the inscribed angle

• C.

Double the measure of the inscribed angle

• D.

Not related to the inscribed angle

C. Double the measure of the inscribed angle
Explanation
If a central angle and an inscribed angle intercept the same arc, the central angle's measure is double that of the inscribed angle.

Rate this question:

• 5.

### An inscribed angle that intercepts a semicircle is always...

• A.

A right angle

• B.

An acute angle

• C.

An obtuse angle

• D.

Equal to the central angle

A. A right angle
Explanation
An inscribed angle that intercepts a semicircle is always a right angle (90 degrees), forming half of a circle's circumference.

Rate this question:

• 6.

### The sum of the measures of the inscribed angles on the same arc is...

• A.

90 degrees

• B.

180 degrees

• C.

270 degrees

• D.

360 degrees

D. 360 degrees
Explanation
The sum of the measures of the inscribed angles on the same arc is always equal to 360 degrees, forming a full circle.

Rate this question:

• 7.

### An inscribed angle in a semicircle is always...

• A.

A right angle

• B.

An acute angle

• C.

An obtuse angle

• D.

Half the measure of the central angle

A. A right angle
Explanation
An inscribed angle in a semicircle is always a right angle (90 degrees) due to the semicircle's unique properties.

Rate this question:

• 8.

### The measure of a central angle is equal to...

• A.

The measure of the arc it intercepts

• B.

Half the measure of the arc it intercepts

• C.

Double the measure of the arc it intercepts

• D.

Not related to the intercepted arc

A. The measure of the arc it intercepts
Explanation
The measure of a central angle is equal to the measure of the arc it intercepts on the circle.

Rate this question:

• 9.

### The sum of the measures of all inscribed angles in a circle is...

• A.

180 degrees

• B.

270 degrees

• C.

360 degrees

• D.

540 degrees

C. 360 degrees
Explanation
The sum of the measures of all inscribed angles in a circle is always 360 degrees, corresponding to a full circle.

Rate this question:

• 10.

### An inscribed angle subtending a minor arc is...

• A.

Half the measure of the arc

• B.

Equal to the measure of the arc

• C.

Double the measure of the arc

• D.

Not related to the arc

A. Half the measure of the arc
Explanation
An inscribed angle subtending a minor arc is equal to half the measure of the arc it subtends on the circle.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Aug 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Aug 14, 2023
Quiz Created by
Amit Mangal

Related Topics