Question

1. determine the coordinates if qrst is first dilated then rotated: 5. based on the results above, the sequence of transformations is commutative. is not

preimage qrst
q (-1,0)
r (-1,-1)
s (-2,-2)
t (-3,-1)
dilation qrst
q (-3,0)
r (2,2)
rotation qrst
q (3,0)
r (3,-3)
s (6,-6)
t (3,-9)

Explanation:

Step1: Recall transformation rules

Transformations include dilation and rotation. Dilation changes the size and rotation changes the orientation of a figure.

Step2: Analyze commutativity

Commutativity of transformations means that the order of applying dilation and rotation does not affect the final result. In general, dilation and rotation are not commutative. For example, dilation first can change the distances from the center - of - rotation, which will affect the result of rotation.

Answer:

is not