Circles and Center of Rotation in Geometry

Find the distance a point on a circle with a radius of 10 m travels 3/4 of a rotation. Leave answers in terms of \pi. Do not round your answer.

Which is the center of the circle with the equation

(x - 3)² + (y + 5)² = 16

• (3, 5)

• (-3, 5)

• (5, -3)

• (3, -5)

The set of all points equidistant from a given point

• Angle

• Point

• Circle

• Square

Using a compass to create a part of a circle.

• Drawing an Arc

• Setting a Compass

• Drawing Angles

• Drawing a Circle

What is the measure of a degree in terms of a complete rotation?

• 1/180 of a complete rotation

• 1/90 of a complete rotation

• 1/360 of a complete rotation

• 1/270 of a complete rotation

Clare used a compass to make a circle with a radius the same length as segment AB. She labeled the center C. Which statement is true?

• AB > CD

• AB = CD

• AB > CE

• AB = CE

In the construction, A is the center of one circle, and B is the center of the other. Identify ALL segments that have the same length as segment AB.

• segment AC

• segment AE

• segment BC

• segment CD

• segment DE

This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other. Select all the true statements.

• Line CD is perpendicular to segment AB

• Point M is the midpoint of segment AB

• The length AB is equal to the length CD

• Segment AM is perpendicular to the segment BM

• CB + BD > CD

A, B, and C are the centers of the three circles. Which line segment is congruent to HF?

• AB

• CD

• DF

• CB

Which segment is the image of AB when rotated 90 degrees counterclockwise around point P?