# Worksheet: Constructing Circles

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

Q1:

How many circles can pass through one point?

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

Q2:

How many circles can pass through two points?

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

Q3:

How many circles can pass through three points?

Q4:

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

Q5:

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

Q6:

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

• AFalse
• BTrue

Q7:

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

• ATrue
• BFalse

Q8:

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

• ATrue
• BFalse

Q9:

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

Q10:

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