AnswersMath II CR S2 RS3Angle Relationships (Sec 10-1)

Angle Relationships Answers

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1
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Which statements are true? Check all that apply.

A
m = 120°
Option A
B
m = 60°
Option B
C
m∠COB = 2(m∠CAB)
D
m∠COB = 120°
E
m∠COB = (m∠CAB)
Option E
2
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35.5✔ 54.571109

A
35.5
B
✔ 54.5
C
71
D
109
117412

Use the diagram to complete the statements.

Answers:
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
117413

equal toone-halftwice✔ 180 minus

A
equal to
B
one-half
C
twice
D
✔ 180 minus
117414

✔ equal toone-halftwice180 minus

A
✔ equal to
B
one-half
C
twice
D
180 minus
117423

4590✔ 180360

Answers:
The measure of central angle LOP is °.:180
The length of LP is units.:17
The length of MP is units.:15
117424

8.516.5✔ 1734

A
8.5
B
16.5
C
✔ 17
D
34
117425

8✔ 151720

A
8
B
✔ 15
C
17
D
20
117431

Use the diagram to complete the statements.

Answers:
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
117432

all radii of the same circle are congruentall right angles are congruent✔ tangents to a circle that intersect are congruentit shows the reflexive property

A
all radii of the same circle are congruent
B
all right angles are congruent
C
✔ tangents to a circle that intersect are congruent
D
it shows the reflexive property
117433

side CA is congruent to side CBside AO is congruent to side BO✔ side CO is congruent to side COside AB is congruent to side CO

A
side CA is congruent to side CB
B
side AO is congruent to side BO
C
✔ side CO is congruent to side CO
D
side AB is congruent to side CO
117434

✔ SSS congruency theoremASA congruency theoremHL congruency theoremAAS congruency theorem

A
✔ SSS congruency theorem
B
ASA congruency theorem
C
HL congruency theorem
D
AAS congruency theorem

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