geometry total review
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the intersection of 2 lines
point
intersection of 2 planes
line
collinear points are points that lie on the same
line
points and lines are coplanar if they lie on the same
plane
midpoint formula
x1 + x2/2 y1+ y2/2
distance formula
d= square root of (x2-x1) squared + (y2-y1) squared
circumference of a circle
(pi)(d)
area of a circle
(pi)(r)squared
perimeter of a square
4s
perimeter of a rectangle
2l+ 2w
area of a square
s(squared)
area of a rectangle
lw
area of a trapezoid
b1+b2/2 (h)
after a single line reflection OR an odd number of line reflections…
a figure will have a different orientation
after an even number of line reflections
a figure will have the same orientation
if reflected over the x axis, (x, y) becomes
(x, -y)
if reflected in the y-axis, (x,y) becomes
(-x,y)
if reflected in the line y=x, (x,y) becomes
(y,x)
if reflected in the line y=-x, (x,y) becomes
(-x,-y)
positive rotation
counterclockwise
negative rotation
clockwise
after rotation of 90, (x,y) becomes
(-x,y)
after rotation of 180, (x,y) becomes
(-x,-y)
after rotation of 270, (x,y) becomes
(x,-y)