Question

  ∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.. Please help asap Thank you so much!

Answer 1

A(0,0) goes to A'(-1,-2), B(1,3) to B'(0,1), C(1,1) to C'(0,-1) before rotation.

After rotation of point P(x,y)➝P'(y,-x) so A'(-2,1), B'(1,0) and C'(-1,0) are the final coords.

Black triangle is original, red triangle is translation and blue triangle is after rotation. The dotted circles show how the rotation works.