Question

Match each figure to the corresponding transformation(A)270 Counterclockwise Rotation (B)X-axis Reflection (C)Translate(Question is spaced out weird in Screenshots, I couldn't figure out how to fix it.)

Answer 1

In the first image:

• A is at (1,2)

,

• A' is at (1,-2)

When an object is reflected over the x-axis, the y-coordinate changes to the opposite sign.

Thus, the first image is an x-axis reflection.

In the second image:

• A is at (1,2)

,

• A' is at (2, -3)

The coordinates A'(2,-3) can only be derived from A(1,2) by a Translation.

Thus, the second(middle) image is a translation.

In the third image:

• A is at (1,2)

,

• A' is at (2, -1)

When an object is rotated 270 degrees counterclockwise, the transformation rule is:

$(x,y)\to(y,-x)$

Thus, the third image is a rotation counterclockwise by 270 degrees.