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kawsu
19.07.2019 •
Mathematics
Justine reflects a vector v across the y-axis. simone reflects a vector v by rotating it 90 degrees counterclockwise about the origin. which of the following vectors has the same image for justine and simone? (options are pictured)
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Ответ:
Justification:
1) A reflection across the y-axis keeps the y-coordinate and changes the x-coordinate to its negative.
(a,b) → (-a,b)
2) A rotation of 90° counterclockwise changes the coordinates in this way:
(a, b) → (-b, a)
3) Let's apply both transformations to the set of choices to determine which is the right choice:
Vector reflection over the y-axis rotation 90°
(x,y) (-x,y) (-y,x)
(4,4) (-4,4) (-4,4) ⇒ equals
(1,-1) (-1,-1) (1, 1) ⇒ not equals
(4,3) (-4,3) (-3, 4) ⇒ not equals
(-3,3) (3,3) (-3,-3) ⇒ not equals
Ответ:
the correct answer is A. 35, 55
Step-by-step explanation: got it right on my exam today