( c ) The rectangle DEFG is rotated onto the rectangle KLMN, with

Question

D mapped onto K.

Write down

( i ) the angle of the rotation

( 1 )

( ii ) the coordinates of the centre of the rotation

Answer 1

(1) The angle of the rotation is 90 degrees, as the rectangle is rotated by a right angle.

(2) The coordinates of the centre of the rotation would be the midpoint of the line segment DK, which can be found by averaging the x-coordinates and y-coordinates of D and K. Let's assume D has coordinates (x1, y1) and K has coordinates (x2, y2), then the coordinates of the centre of the rotation would be:

(x1 + x2)/2, (y1 + y2)/2

where (x1, y1) = (D's coordinates) and (x2, y2) = (K's coordinates).