Question

Kite ABCD is translated (x - 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A”,8", C", and "after both transformationsBAa-A (-5, 1) A" ?B (-2,2) B" ?C (-1,1) C?D (-2, 0) D' ?A' (4.7), B' (5, 4). C'(4,3), D' (3,4)A' (-3,-4), B' (-4,-7), C" (-5, -4), D' (-4,-3)A' (-4,-7), B' (-5, -4), C (-4,-3), D' (-3,-4)A' (-7,4), B' (-4,5), C (-3, 4, D' (-4,3)

Answer 1

We have to find the coordinates of the transformed points of the kite.

We have a first transformation (translation) that has the rule:

`(x,y)\longrightarrow(x-2,y+3)`

Then, a second transformation that is a rotation 90° counterclockwise. We can see how to find the rule by drawing this transformation:

Then, the rule is:

`(x,y)\longrightarrow(-y,x)`

If we apply both rules in a chain we get: