Worksheet: Constructing Circles
In this worksheet, we will practice constructing circles given one, two, or three points.
How many circles can pass through one point?
- EAn infinite number
How many circles can pass through two points?
- BAn infinite number
How many circles can pass through three points?
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?
Can we use point in the given shape to draw a circle that passes through the vertices of triangle ?
True or False: If a circle passes through three points, then the three points should belong to the same straight line.
True or False: Two circles can intersect at more than two points.
True or False: A circle can be drawn through the vertices of any triangle.
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?
In the figure, which point can be used as center of a circle that passes through the two points and ?