Area of a Circle and a Sector

Question 1

Which statements are true? Check all that apply.

Revolt · Accepted Answer

m = 120°; m∠COB = 2(m∠CAB); m∠COB = 120°

Question 2

equal toone-halftwice✔ 180 minus

Revolt · Accepted Answer

180 minus

Question 3

✔ equal toone-halftwice180 minus

Revolt · Accepted Answer

equal to

Question 4

Question 4

Revolt · Accepted Answer

SSS congruency theorem

Question 5

Use the diagram to complete the statements. 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.

Revolt · Accepted Answer

one-half; Selection 1: one-half; Selection 2: 180 minus; Selection 3: equal to

Question 6

The measure of central angle LOP is °. The length of LP is units. The length of MP is units.

Revolt · Accepted Answer

180; Selection 1: 180; Selection 2: 17; Selection 3: 15

Question 7

What is the measure of angle WZY?

Revolt · Accepted Answer

71°

Question 8

Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.

Revolt · Accepted Answer

109; Selection 1: 109; Selection 2: 54.5

Question 9

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

Revolt · Accepted Answer

55°

Question 10

We 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 .

Revolt · Accepted Answer

all radii of the same circle are congruent; Selection 1: all radii of the same circle are congruent; Selection 2: tangents to a circle that intersect are congruent; Selection 3: side CO is congruent to side CO; Selection 4: SSS congruency theorem

Area of a Circle and a Sector Answers

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