distance formula 1. 1 slope 2 2 midpoint formula 3
TRANSCRIPT
1
Distance formula
1
Slope
2
2
Midpoint Formula
3
3
Point slope formula of a line
4
4
Equation of a line
5
y = mx +b
m is slopeb is y-intercept
5
Slope
6
6
Parallel Lines
7
Parallel lines have equal slopes
7
Perpendicular Lines
8
Perpendicular lines have opposite reciprocal slopes
8
Equation of a Circle
9
Where: Center: (h, k) and radius =
9
Finding the equation of a circle given two endpoints of the diameter
10
• Use midpoint to find the center• Use distance (between center and one endpoint) to find the radius• Plug into equation of a circle
10
Find the equation of a perpendicular bisector
11
1. Find slope 2. Flip and change the sign of the slope from step 1.3. Find the midpoint.4. Plug answers from step 2 and 3 into point slope
11
Prove a parallelogram
12
Find the midpoint of both diagonalsIf they match then…
It is a parallelogram because diagonals bisect
12
Prove a Rectangle
13
Use DISTANCE to find the length of all four sidesIf Both sets of opposite sides are = then…
It is a rectangle because both sets of opposite sides are congruent
13
Prove a Rhombus
14
Use DISTANCE to find the length of all four sidesIf ALL sides are = then…
It is a rhombus because all sides are congruent
14
Prove a Square
15
Use DISTANCE to find the length of all four sides and SLOPE of 2 adjacent sidesIf ALL sides are = and the slopes are opposite reciprocals then…
It is a square because all sides are congruent and adjacent sides are perpendicular
15
Prove a Trapezoid
16
Find the SLOPE of all four sidesIf two slopes are = and two are then…
It is a trapezoid because there is only one set of opposite parallel sides.
16
Prove an isosceles trapezoid
17
Find the SLOPE of all four sides and the DISTANCE of the non-parallel sidesIf two slopes are = and two are and the non-parallel sides are = then…
It is an isosceles trapezoid because there is only one set of opposite parallel sides and the legs are congruent.
17