Question

Image Long Description: Point upper A has coordinates left parenthesis negative 6 comma negative 3 right parenthesis. Point upper B has coordinates left parenthesis negative 6 comma negative 5 right parenthesis. Point upper C has coordinates left parenthesis negative 4 comma negative 6 right parenthesis. Point upper D has coordinates left parenthesis negative 3 comma negative 2 right parenthesis. Point upper W has coordinates left parenthesis 2 comma 9 right parenthesis. Point upper X has coordinates left parenthesis 0 comma 9 right parenthesis. Point upper Y has coordinates left parenthesis negative 1 comma 7 right parenthesis. Point upper Z has coordinates left parenthesis 3 comma 6 right parenthesis.

What two rigid transformations were performed on figure ABCD
to produce the congruent figure WXYZ
?

(1 point)
Responses

ABCD was first rotated 90° (counterclockwise), then shifted 3 units to the left and 5 units up.

ABCD was first rotated −270°( 270° clockwise), then shifted 3 units to the left and 5 units up.

ABCD was first shifted 3 units to the left and 5 units up, then rotated 90° (counterclockwise).

ABCD was first shifted 3 units to the left and 5 units up, then rotated −90° ( 90° clockwise).

Answer 1

Answer: ABCD was first shifted 3 units to the left and 5 units up, then rotated −90° (90° clockwise).

Check: translate by (−3,5): A→(−9,2), B→(−9,0), C→(−7,−1), D→(−6,3). Rotate 90° clockwise (x,y)→(y,−x): (−9,2)→(2,9)=W, (−9,0)→(0,9)=X, (−7,−1)→(−1,7)=Y, (−6,3)→(3,6)=Z.