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