AnswersAZ-Common Core Algebra II BAngles in Standard Position

Angles in Standard Position Answers

18 verified answers4 views
1
Free Preview

Select all angles that have a negative measure.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
4

The angle shown is in standard position. Select the possible measures of the angle.

A
–450°
B
–360°
C
–270°
D
–90°
E
90°
F
270°
G
360°
H
450°
6

Select all that are measures of angles coterminal with a –60° angle.

A
–1020°
B
–780°
C
–420°
D
60°
E
120°
F
300°
G
420°
H
660°
8

Question text not available

Answers:
Blank 1:-110
Blank 2:-470
9

Question text not available

Answers:
Blank 1:610
Blank 2:970
13

Which represents the measures of all angles coterminal with a 400° angle?

A
360 + 40n, for any integer, n
B
360 + 40n, for any whole number, n
C
40 + 360n, for any integer, n
D
40 + 360n, for any whole number, n
14

A student says that the measures of coterminal angles are never opposites of each other. Is the student correct? Explain.

Answer:

The student is incorrect. For two angles to be coterminal, the difference between their measures must be a multiple of 360°. If we consider the measures 180° and -180°, these two values are opposites of each other. The difference between them is 180° - (-180°) = 360°, which is a multiple of 360°. Therefore, 180° and -180° are coterminal angles that are opposites, proving the student's statement is false.

15

Select all that are measures of angles coterminal with a 145° angle.

A
–575°
B
–215°
C
–145°
D
–35°
E
215°
F
415°
G
505°
H
865°
18

Which did you include in your response?

A
The student is not correct.
B
For angles to be coterminal, the difference between their measures must be a multiple of 360°.
C
The difference between 180° and –180° is 360°.
D
Angles with measures 180° and –180° are coterminal.

Did you find these answers helpful?