# AABC with vertices A(-4, 3), B(-2,-1) and C(-1, 3) is translated by 3 units right and 2 units up, then it is rotated 90° counterclockwise about the origin. The new image of the triangle is represented by ABC What are the coordinates of A'? Answer : A. (0,-2) B. (-5,-1) C. (-5,1) D (5,0)

sarinaneedshelp01    3   14.02.2022 05:30    7

MZ2017  14.02.2022 05:30

C

Step-by-step explanation:

(-4, 3) 3 units right = +3x = -1

(-1, 3) 2 units up = +2y = 5

(1, 5) A rotation of 90° counterclockwise around the origin can be described in mathematical terms as (x, y) → (−y, x).

(1, 5) → (-5, 1), or C

tot92  14.02.2022 05:30

B. (-5, -1)

Step-by-step explanation:

Since we're solving for A :

A (-4, 3) translated 3 units to the right and 2 units up would be A (-4 + 3, 3 + 2), which is A' (-1, 5). Then, we have to rotate it 90 degrees clockwise. This would be (-5, -1), as the formula states (x, y) -> (-y, x), which means the x stays the same but goes to the 'y' position, and the y sign changes and goes to the 'x' position.

So, it would be (-5, -1) :)

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