Question

For ΔABC, which transformation composition is COMMUTATIVE?

Answer 1

Commutative transformation is type of transformation in which the order of operations doesn't affect the result of transformation.
The only commutative transformation is D.

Answer 2

Answer:

option: D.

Step-by-step explanation:

We are asked  which transformation composition is COMMUTATIVE i.e. we are asked to find that the resultant figure is independent of the operations applied to it  in any order.

• Also we know that translation and rotation together are not commutative hence, A and B options are incorrect.

• Also rotation and reflection applied to a figure are not commutative.

• But a pair of  reflection applied to a figure will be commutative

Hence, option: D is correct. (reflect across the y-axis and then reflect across the x-axis.)