Question

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)

Answer 1

B. (-5, -1)

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) :)

Answer 2

C

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