Question

Figure ABC is rotated 90° counterclockwise to form th congruent figure A'B'C'. A (26) Rule: (x,y) - (2,3) (6.3) Preimage Image A A' B С С

Answer 1

Rotation of 90 degrees counterclockwise about the origin

A point A(x,y) when rotated 90 degrees counterclockwise about the origin maps to the point A'(-y,x).

The triangle ABC has the following coordinates:

A(2,6) B(6,3) C(2,3)

The corresponding coordinates of the rotated image can be found by following the rule above: swap the coordinates and invert the new x-coordinate.

This way, the coordinates of the new image are:

A'(-6,2) B'(-3,6) C'(-3,2)