Begin with a triangle having vertices at 21 22 51 Reflect th

Begin with a triangle having vertices at (2,1), (2,2), (5,1). Reflect the triangle over the y-axis. Reflect the resultung triangle over the x-axis. Repeat the activity with the original triangle by chaning th order in which you apply each of the above transformations. The final triangle in both cases is the same. Which of the following properties of composition of transformations is illustrated?

A. Associative Property

B. Identity Property

C. Transitive Property

D. Commutative Property

Solution

When u change the order of occurrence, it is ALWAYS commutative

So, option D.

This is so because you had two cases :

a) First reflect about y-axis and then reflect about x-axis

AND

b) First reflect about x-axis and then reflect about y-axis

and the order of transformations is reversed.

So, commutative