On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o
f y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line
y = –x?
A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)
What are the coordinates of the image of vertex F after a reflection across the line
y = –x?
A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)
1 answer:
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Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
sin45° = =
Multiply both sides by y
y × sin45° = 9, that is
y × = 9
Multiply both sides by
y = 9
