Question

What are the similarities and differences between a rotation and reflection? Be specific and use key words from the lesson! I need help !! Can someone go through the lesson the website is student.desmos.com the class code YPX36J

Answer 1

A transformation that rotates or turns a figure about a fixed point or origin is called rotation.
Whereas,
Reflection is the mirror image any figure over the coordinate plane. When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.

Here are the rules of reflections and Rotations:

Reflections Rules:

Over x-axis = (x, y) → (x, –y)
Over y-axis = (x, y) → (–x, y)
Over origin = (x, y) → (–y, –x)
Over y = x = (x, y) → (y, x)
Over y = -x = (x, y) → (–y, –x)


Rotations Rules:

Rotate 90 counterclockwise = (x, y) → (–y, x)
Rotate 180 counterclockwise = (x, y) → (–x, –y)
Rotate 270 counterclockwise = (x, y) → (y, –x)
Rotate 270 clockwise = (x, y) → (–y, x)
Rotate 180 clockwise = (x, y) → (–x, –y)
Rotate 90 clockwise = (x, y) → (y, –x)