# Transformations on Coodinate Plane

### By:Matthew Peterson

## Reflection

A reflection is an isometry, which means the original and image are congruent, that can be described as a "flip". To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite.

**All i did was just flip it over the Y axis and i did was change the first number to a - then keep the second one the same. x(_,_) X'(_-,_)**

**A(5,8) A'(-5,8)**

**B(5,4) B'(-5,4)**

**C(2,4) C'(-2,4)**

## Dilation

Dilation is where the polygon grows or shrinks but keeps the same overall shape. It's a little like zooming in or out on a camera. In the figure above, the polygon is a rectangle ABCD. As you adjust the slider on the right, the transformed rectangle A'B'C'D gets bigger and smaller, but remains the same shape.

i used my a scale factor of 4 starting point A. B x 4 C x 4

A(1,1) A'(1,1)

B(1,3) B'(1,9)

C(3,1) C'(9,1)

## Rotation

- The point of rotation is the central point around which a figure is rotated.
i used (0,0) as the point of rotation and i knew that the ( , ) would both change to the opposite.

A(2,2) A'(-2,2)

B(8,6) B'(-6,8)

C(2,10) C'(-10,2)