Example 2: Identify the reference angle. A) 135° B) 260° C) 310
1 answer:
Answer:
A) 45
B) 80
C) 50
Step-by-step explanation:
When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.
When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.
When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.
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Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H
First, we pick a corresponding coordinate on H'
The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H: and H':
--- The same x coordinates
H: and H':
--- Different y coordinates
The difference between the y coordinates is:
Hence,
<em>2) Vertical translation of 10 units </em> is correct.