Coordinate Geometry

translation

translation

(x + h, y + k)

reflection across x axis

(x, -y)

90 degree clockwise rotation

(y, -x)

reflection across y axis

(-x, y)

reflection across y axis

(-x, y)

180 degree rotation

(-x, -y)

reflection across y=x

(y, x)

90 degree counterclockwise rotation

(-y, x)

reflection across line y= -x

(-y, -x)

slope formula

lines that are parallel have the ____ slope

same

perpendicular lines have slopes that are ____ of one another

negative reciprocals

midpoint formula

distance formula

centroid formula

point slope form

slope intercept form

circle formula

( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

coincide

the same / on top of eachother

transformation def

a manipulation of a geometric shape

rotation def

when an object is turned around a fixed point

reflection def

flips an object over a specific line, creating a mirror image

translation def

moves every point of an object a certain distance and direction

dilation def

resizing or reshaping an object