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32 Cards in this Set
- Front
- Back
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the measure of an exterior angle of a triangle equals the sum of the
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other 2 interior angles
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diagonal equation
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d =(n(n-3))/2
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sum of the interior angles
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(n-2)180
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sum of exterior angles
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360
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formula for measure of one exterior angle
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360/n
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formula for measure of each int angle
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d =(n-2)180/n
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ratio
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a comparison of two numbers
1:2 1 to 2 1/2 |
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find means 1/2:5/10
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2 and 5
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find extremes 1/2:5/10
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1 and 10
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arithmetic mean of 4 and 16
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(4+16)/2 = 10
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geometric mean of 4 and 16
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x/4=16/x x=8
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4 methods to prove triangles similar
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AAA~ SSS~
AA~ SAS~ |
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means extremes theorem
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a/b = c/d then ad=bc
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side splitter theorem
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if a line is parallel to one side of the triangle and intersects the other two sides, then it divides the other two sides proportionally
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angle bisector theorem
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if a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the adjacent sides
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if 3 or more parallel lines are intersected by 2 transversals, then the lines divide the transversals
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proportionally
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if altitude is drawn to the hypotenuse of a right triangle then the triangles formed are
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congruent
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if an altitude is drawn to the hypotenuse of a right triangle then the altitude is the geometric mean between
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base of 1 and 2
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If the altitude is drawn to the hypotenuse of a right triangle then either leg of the given triangle is the geometric mean between
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the hypotenuse and adjacent base
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Pythagorean theorem
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a^2+b^2=c^2
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distance formula
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the square root of...
(x2-x1)2 + (y2-y1)2 |
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angle of elevation
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from the ground to a point above
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angle of depression
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from the horizon to a point below
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area of a triangle
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1/2bh
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area of a square
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side squared
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area of a rectangle
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bh
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area of a parallelogram
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bh
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area of a rhombus
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1/2 d1 d2
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area of a trapeziod
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1/2h(b1 + b2)
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area of a kite
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1/2d1d2
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area of a circle
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pie r squared
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area of a regular polygon
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1/2ap
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