Geometry: Properties of Circles Post Test

A woodcarver draws cut lines on the top of a wooden disc. Consider the drawing of her design. In Circle O, chords BF and CE are perpendicular to diameter AD. Which of the following relationships is true?

• AG = OH

• CH = HE

• BG = CH

• BG = HE

A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees? (Disregard the degree symbol when entering your answer.)

Circle O has diameter AB and chord AB. State a conjecture about the relationship between ∠CAB and ∠BC and use it to calculate the measure of ∠CAB if m∠BC = 62°. What is the measure of ∠CAB?

In the diagram below, quadrilateral ABCD is inscribed in circle P. What is m∠ ADC?

If RT and MT are tangent segments, what is the measure of ∠RTM?

If FB is the diameter of Circle O and FB ⊥ AC, determine m∠AB and m∠DC.