# 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 triangleβs 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