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Published byTheresa Holmes Modified over 8 years ago

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Distance formula 1

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Slope 2

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Midpoint Formula 3

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Point slope formula of a line 4

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Equation of a line 5

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y = mx +b m is slope b is y-intercept 5

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Slope 6

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Parallel Lines 7

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Parallel lines have equal slopes 7

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Perpendicular Lines 8

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Perpendicular lines have opposite reciprocal slopes 8

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Equation of a Circle 9

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Where: Center: (h, k) and radius = 9

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Finding the equation of a circle given two endpoints of the diameter 10

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Use midpoint to find the center Use distance (between center and one endpoint) to find the radius Plug into equation of a circle 10

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Find the equation of a perpendicular bisector 11

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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

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Prove a parallelogram 12

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Find the midpoint of both diagonals If they match then… It is a parallelogram because diagonals bisect 12

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Prove a Rectangle 13

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Use DISTANCE to find the length of all four sides If Both sets of opposite sides are = then… It is a rectangle because both sets of opposite sides are congruent 13

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Prove a Rhombus 14

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Use DISTANCE to find the length of all four sides If ALL sides are = then… It is a rhombus because all sides are congruent 14

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Prove a Square 15

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Use DISTANCE to find the length of all four sides and SLOPE of 2 adjacent sides If 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

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Prove a Trapezoid 16

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Find the SLOPE of all four sides If two slopes are = and two are then… It is a trapezoid because there is only one set of opposite parallel sides. 16

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Prove an isosceles trapezoid 17

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Find the SLOPE of all four sides and the DISTANCE of the non-parallel sides If 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

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