Reflections

A reflection is a flip over the x-axis or the y-axis on the coordinate plane.

Plot pentagon PQRST and then apply the following rule $$\left(x,y\right)\rightarrow\left(-x,y\right)$$ .

P(5,-2) Q(8,-4) R(8,-8) S(2,-8) T(2,-4)

Determine the location of each coordinate given if it's reflected over the x-axis.

When reflecting over the x-axis, the ​ (a)   stays the same and the ​ (b)   becomes opposite.

When reflecting over the y-axis, the ​ (a)   stays the same and the ​ (b)   becomes opposite.

You reflect Triangle ABC over the x-axis. Where would A' be located?

What are the coordinates for $$\Delta KLM$$

K​ ​ (a)   M​ (b)   L​ (c)  

then reflect the triangle over the y-axis.

K'​ (d)   M'​ (e)  

Label the axis on the graph:

Triangle ABC was transformed on a coordinate grid using the rule (x, y) → (x, -y).

Where is the location of point A' ?

Plot the following points.

A (-2,-5) B (4, -2) C (8, 0)

Then, apply the following translation and also plot those points. $$\left(x,y\right)\rightarrow\left(x-2,\ y+2\right)$$

(you should have a total of 6 points).