# Lesson Worksheet: Constructing Circles Mathematics

In this worksheet, we will practice constructing circles given one, two, or three points.

Question 1

How many circles can pass through three points?

Question 2

How many circles can pass through one point?

• A3
• B2
• C0
• D1
• EAn infinite number

Question 3

How many circles can pass through two points?

• A1
• BAn infinite number
• C2
• D3
• E0

Question 4

Can we use point in the given shape to draw a circle that passes through the vertices of triangle ? • ANo
• BYes

Question 5

Consider the two points and . What is the radius of the smallest circle that can be drawn in order to pass through the two points?

• A
• B
• C
• D
• E

Question 6

True or False: If a circle passes through three points, then the three points should belong to the same straight line.

• AFalse
• BTrue

Question 7

True or False: A circle can be drawn through the vertices of any triangle.

• ATrue
• BFalse

Question 8

True or False: Two circles can intersect at more than two points.

• ATrue
• BFalse

Question 9

In the following figures, two types of constructions have been made on the same triangle, . Which point will be the center of the circle that passes through the triangle’s vertices? • A
• B
• C
• D
• E

Question 10

In the figure, which point can be used as center of a circle that passes through the two points and ? • A
• B
• C
• D
• E

This lesson includes 17 additional questions and 44 additional question variations for subscribers.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.