Angle Relationships Assignment

Which statements are true? Check all that apply.

1, 3, 5

Circle C is shown. Line segments E C and F C are radii. Angle E C F is 109 degrees. Line segment A D is a chord. A line is drawn from point A to point B to form another chord. The measures of arcs B D and E F are congruent. Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.

109 54.5

The measure of central angle LOP is __. The length of LP is ____ units. The length of MP is ______ units.

180 17 15

What is the perimeter of kite OBDE?

38 units

What is the measure of angle OAC if major arc AB measures 220 degrees?

55

What is the measure of angle WZY?

71

Which statements are true? Check all that apply.

A, C, D

The measure of angle EJB is the measure of angle BOE. The measure of angle BDE is the measure of angle BOE. The measure of angle OED is the measure of angle OBD.

one-half, 180 minus, equal to

Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.Prove: △ACO ≅ △BCOWe are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because ____ We also know that AC ≅ BC since ___ Using the reflexive property, we see that ____ Therefore, we conclude that △ACO is congruent to △BCO by the _____

✔ all radii of the same circle are congruent. ✔ tangents to a circle that intersect are congruent. ✔ side CO is congruent to side CO. ✔ SSS congruency theorem.