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Last updated 3:02 PM on 1/20/23
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21 Terms
1
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180 (n-2)
interior angle sum equation
2
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n (n-3) / 2
total # of diagonals in regular polygon equation
3
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360
sum of exterior angles equation
4
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regular polygon
a polygon that is both equilateral and equiangular
5
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360 / n
one exterior angle of a polygon equation
6
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180 (n-2) / n
one interior angle of a polygon equation
7
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radius
a segment from the center of the polygon (circle) to a vertex
8
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apothem
a perpendicular segment from the center of a polygon to a side (perp bisector for a regular polygon)
9
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tranversal
the line that cuts 2 lines and creates 8 angles (two lines that may or may not be parallel)
10
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midsegment
the line segment connecting the midpoints of 2 sides
11
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triangle midsegment theorem
* a midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side
* DE = 1/2 AC
* DE = 1/2 AC
12
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similar polygons
2 polygons are similar if and only if their corresponding angles are congruent and corresponding side lengths are proportional
13
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AA
two corresponding pairs of angles are congruent (3rd pair must be too)
14
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SAS
two corresponding pairs of sides have the same ratio/scale factor and the corresponding angles between them are congruent
15
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SSS
all 3 pairs of corresponding sides have the same scale factor
16
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side splitter theorem
* if a line is parallel to one side of a triangle and intersects the other 2 sides, it divides those 2 sides proportionally
* a/a+b = e/f
* a/a+b = e/f
17
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parallel lines similarity theorem
* if 3+ parallel lines are intersected by 2 transversals, the parallel lines divide the transversals proportionally
* ab/bc = de/ef
* ab/bc = de/ef
18
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angle bisectors similarity theorem
* if a ray bisects and angle of a triangle it divides the opposite side into segments that are proportional to the adjacent sides
* a x d = c x b
* a x d = c x b
19
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45-45-90 triangle theorem
* legs of triangle are congruent
* hypotenuse represents a leg multiplied by √2
* hypotenuse represents a leg multiplied by √2
20
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30-60-90 triangle theorem
* hypotenuse represents the short leg (x) multiplied by 2
* the 60 leg represents the short leg (x) multiplied by √3
* the 60 leg represents the short leg (x) multiplied by √3
21
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sine
the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse