Ploygons Geometry Flashcards
Midpoint formula
X one plus x two Y one plus y two
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2. 2
Slope formula
Y one minus y two
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X one minus X two
Distance formula
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V ( x one - x two) squared+ ( y one - y two)squared
Equilateral polygon
Polygon with sides of equal length
Equiangular polygon
Polygon with angles of equal measure
Regular polygon
A polygon with all angles and side equal
How to find total measure of shape with number of sides
(N-2) 180= sum of angles
How to find measure of each interior angle on a regular polygon with sum of angles
(N-2) 180 = sum of angles
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N
7 sides polygon
Heptagon
9 sided polygon
Nonagon
10 sided polygon
Decagon
12 sided polygon
Dodecagon
How to find # of angles with sum of all angles
Sum of angles / 180 = n + 2 = number of sides
What do all exterior angles of a polygon add up to
360
How to find measure of one exterior angle on a regular polygon
360 dived by number of sides
Definition of parralegram
A quadrilateral both pairs of apposite sides being parallel
Properties of a parallelogram
1.opposite sides congruent
2. Opposite angles congruent
3. Consecutive angles supplementary
4. Diagonals bisect each-other
( also one pair of opposite sides parallel and congruent proves)
Definition of a rhombus
Quadrilateral with four congruent sides
Definition of a rectangle
Quadrilateral with 4 right angles
Definition of a square
A quadrilateral with 4 congruent sides and 4 right angles ( essentials just both a rhombus and a square)
Properties of a rhombus
1Diagonals of a rhombus bisect corner angles
2 diagonals of a rhombus are perpendicular
Properties of a rectangle
1 diagonals congruent
2 if a parallelogram with one right angle then it is a rectangle
Leg definition
Parts of trapezoid not parallel
Bases
Parallels sides of trapezoid not necessarily bottom and top
Definition of trapezoid
Quadrilateral with only one pair of parallel sides ( as not to be a parallelogram)
Definition of an isosceles trapezoid
Trapezoid with congruent legs
Properties of an isosceles trapezoid
1 has 2 pairs of congruent base angles
2 congruent diagonals
3 mid segment is the average of the bases
Definition of a kite
A quadrilateral with 2 pairs of connective congruent sides and no opposite sides congruent
Properties of a kite
1)Diagonals are perpendicular
2) 1 diagonal bisects the angles it touches (usually the longer diagonal)
Other property of a trapezoid
Consecutive leg and base angles supplementary . Cus is same side interior angles theorem
