Portion of a line consisting of two endpoints and the points between.
Line Segment
Rule for moving right 4 and down 2
(x, y) --> (x+4, y-2)
What is the formula/rule for segment addition?
AB + BC = AC
2 + 2 =
4
Formula for Distance
square root of (x2-x1)2 + (y2-y1)2
Measures less than 90 degrees
Acute Angle
Rule for reflecting over the x-axis
(x, y) --> (x, -y)
AB = 1 BC = x AC = 12....What does BC equal?
11
10 x 10 =
100
Formula for midpoint
(x1+x2/2, y1+y2/2)
Original Location of a figure
Pre-Image
Reflecting over the y-axis
(x, y) --> (-x, y)
AB= x+1
BC= 5
AC = 3x-2
What does x equal?
x=4
What are complementary angles?
Two angles that come together to make 90 degrees
Find the distance between (2, 0) and (-2, -4)
5.7
Figures with the same angle measures and side lengths
Congruent
Rotating 90 degrees
(x, y) --> (y, -x)
AB=5x
BC=x
AC=12
What does x equal?
x=2
2+5(3-1)2=
22
Find the mid-point of (3, 3) and (-5, -3)
(-1, 0)
Changes the position of a figure
Translation
Rotating 270 degrees
(x, y) --> (-y, x)
AB= x+1
BC= 5
AC = 3x-2
What does AB equal?
AB=5
The formula to find the area of a rectangle is
A=lw or A=bh
Find the midpoint of (2, -1) and (-6, 0)
(-2, -1/2)