Question

What transformations were applied to ABCD to obtain A’B’C’D’?

Answer 1

The answer is B;
90° counterclockwise, translation 3 units to the left.

Answer 2

Answer: B) 90° counterclockwise, translation 3 units to the left.

Step-by-step explanation: Given coordinates of figure ABCD are:

A (1,5).

B (1,9)

C ( 5,9)

D (5,5)

Coordinates of transformed image A'B'C'D' are :

A' (-8,1)

B' (-12,1)

C' (-12,5)

D' (-8,5).

We need to explain rule of transformation:

Let us compare coordinates of A and A'.

A (1,5) ---> A' (-8,1)

We can see that (x,y) ----> (y,-x) -----> (y,-x-3) rule is being applied there.

So, according to (x,y) ----> (y,-x) rule, it's Rotation of 90 degrees counterclockwise.

And (y,-x) -----> (y,-x-3) is translation 3 units to the left.

Therefore,

Correct option is B) 90° counterclockwise, translation 3 units to the left.