Angle Relationships

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

Use the diagram to complete the statements.

Revolt · Accepted Answer

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 .: all radii of the same circle are congruent; We also know that AC ≅ BC since .: tangents to a circle that intersect are congruent; Using the reflexive property, we see that .: side CO is congruent to side CO; Therefore, we conclude that △ACO is congruent to △BCO by the .: SSS congruency theorem

Question 3

Use the diagram to complete the statements.

Revolt · Accepted Answer

✔ one-half; The measure of angle EJB is the measure of angle BOE.: one-half; The measure of angle BDE is the measure of angle BOE.: 180 minus; The measure of angle OED is the measure of angle OBD.: equal to

Question 4

equal toone-halftwice✔ 180 minus

Revolt · Accepted Answer

✔ 180 minus

Question 5

✔ equal toone-halftwice180 minus

Revolt · Accepted Answer

✔ equal to

Question 6

4590✔ 180360

Revolt · Accepted Answer

✔ 180; The measure of central angle LOP is °.: 180; The length of LP is units.: 17; The length of MP is units.: 15

Question 7

8.516.5✔ 1734

Revolt · Accepted Answer

✔ 17

Question 8

8✔ 151720

Revolt · Accepted Answer

✔ 15

Question 9

What is the measure of angle WZY?

Revolt · Accepted Answer

71°

Question 10

Use the diagram to complete the statements.

Revolt · Accepted Answer

✔ 109; The measure of minor arc EF is °.: 109; The measure of angle DAB is °.: 54.5

Angle Relationships Answers

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