Module 10 Review Geometry

A puppy has been trained to jump through a ring. According to the dog's trainer, the ring has a diameter of 3.5 feet. What is the ring's circumference?

• 3.6π feet

• 3.9π feet

• 3.5π feet

• 2.8π feet

A circle has a diameter with endpoints at (−2,5) and (4,1). What is the equation of the circle? Select all that apply.

• x² + y² − 6x − 6y = 34

• (x − 1)² + (y − 3)² = 13

• (x − 3)² + (y − 3)² = 13

• x² + y² − 2x − 6y = 8

• (x − 1)² + (y − 3)² = 52

Point O is located at the center of the circle. Which of the following statements is true about the angles in this diagram?

• ∠AOB = 2∠ACB

• ∠ACB = 2∠AOB

• ∠AOB = ½∠ACB

• ∠ACB = ∠AOB

In the diagram at right of circle O, secant ABC and tangent AD are drawn. If CA=12.5 and CB=4.5, determine the length of DA.

Mirrors are placed inside a kaleidoscope as shown. If the four mirrors are placed at the point given, what is the measure of the angle formed at A?

• A. 16°

• B. 23°

• C. 79°

• D. 101°

Determine the length of the radius of circle O, shown at right. Enter your answer in the space provided.

Which of the following would represent the intersection of x + y = 11 and x^2 + y^2 = 61?

• {(6,5),(5,6)}

• {(-6,5),(-5,6)}

• {(6,-5),(5,-6)}

• {(-6,-5),(-5,-6)}

What is the measure of arc JMK?

• 128°

• 308°

• 334°

• 347°