Question

determine the congruence transformation used on △abc that resulted in △def. (1 point) ○ △abc was shifted 2 units to the left and 2 units up, then reflected across the y - axis? ○ △abc was rotated −180° (clockwise) or 180° (counterclockwise) then shifted 2 units to the right and 2 units up. ○ △abc was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise)? ○ △abc was reflected across the y - axis, then shifted 2 units to the right and 2 units up.

Explanation:

Step1: Identify coordinates of ABC

Assume ABC coordinates: A(3,-1), B(-1,-2), C(1,1)

Step2: Apply reflection over y-axis

Reflect (x,y) → (-x,y): A'(-3,-1), B'(1,-2), C'(-1,1)

Step3: Apply shift right 2, up 2

Translate (x+2,y+2): A''(-3+2,-1+2)=(-1,1), B''(1+2,-2+2)=(3,0), C''(-1+2,1+2)=(1,3). Matches DEF.

Answer:

△ABC was reflected across the y-axis then shifted 2 units to the right and 2 units up