1. Do-Now Solve the system of equations. (2, –20) and (–1, –2)
7x + –6x – 8 = x2 – 10
7x + y = x2 – 10
y + 6x = –8
1x – 8 = x2 – 10
0 = x2 – x – 2
0 = (x – 2)(x + 1)
(2, –20) and (–1, –2)
x = {2, –1}

2. Line Symmetry – can draw a line through the figure to make
Line Symmetry – can draw a line through the figure to make two equal halves.
Point Symmetry – can spin the figure upside-down and it still looks the same.
Transformation – operation that maps, or moves, a pre-image onto an image.
Translation – slides the figure a given distance
Ta,b (x, y) = (x + a, y + b)

3. Reflection – uses a line that acts like a mirror (line of reflection)
ry-axis (x, y) = (–x, y)
rx-axis (x, y) = (x, –y)
ry = x (x, y) = (y, x)
r0 (x, y) = (–x, –y)
Pre-Image – original figure
Image – new figure
Rotation – figure is turned about a fixed point
Angle of Rotation – angle from the pre-image to the image
R90º (x, y) = (–y, x)
Center of Rotation – the fixed point

4. Dilation – reduces or enlarges a figure
Dk (x, y) = (kx, ky)
Reflect triangle KEB with K(2, 4), E(5, 7), B(6, 1) in the x-axis. Name the coordinates of K`, E`, and B`.