AnswersCR CCSS Math 2 S2 M2960OXAngle 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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equal toone-halftwice✔ 180 minus

A
equal to
B
one-half
C
twice
D
✔ 180 minus
3

✔ 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
117435

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
117436

What is the measure of angle WZY?

A
54.5°
B
71°
C
125.5°
D
180°
117437

Use the diagram to complete the statements.

Answers:
The measure of minor arc EF is °.:109
The measure of angle DAB is °.:54.5
117438

Which statements are true? Check all that apply.

A
The circumscribed angle L has a measure of 49°.
B
The circumscribed angle L has a measure of 65.5°.
C
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
D
If the measure of arc HJ is 98°, the measure of angle HKJ is 98°.
E
If the measure of arc HJ is 98°, the measure of arc HK is 131°.
117440

What is the perimeter of kite OBDE?

A
12 units
B
22 units
C
38 units
D
58 units
117441

35.5✔ 54.571109

A
35.5
B
✔ 54.5
C
71
D
109
117442

✔ all radii of the same circle are congruentall right angles are congruenttangents to a circle that intersect are congruentof the reflexive property

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
117443

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

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