Ploygons Geometry

Question 1

Midpoint formula

Answer 1

X one plus x two Y one plus y two
————————. ————————
2. 2

Question 2

Slope formula

Answer 2

Y one minus y two
—————————-
X one minus X two

Question 3

Distance formula

Answer 3

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V ( x one - x two) squared+ ( y one - y two)squared

Question 4

Equilateral polygon

Answer 4

Polygon with sides of equal length

Question 5

Equiangular polygon

Answer 5

Polygon with angles of equal measure

Question 6

Regular polygon

Answer 6

A polygon with all angles and side equal

Question 7

How to find total measure of shape with number of sides

Answer 7

(N-2) 180= sum of angles

Question 8

How to find measure of each interior angle on a regular polygon with sum of angles

Answer 8

(N-2) 180 = sum of angles
————————————-
N

Question 9

7 sides polygon

Answer 9

Heptagon

Question 10

9 sided polygon

Answer 10

Nonagon

Question 11

10 sided polygon

Answer 11

Decagon

Question 12

12 sided polygon

Answer 12

Dodecagon

Question 13

How to find # of angles with sum of all angles

Answer 13

Sum of angles / 180 = n + 2 = number of sides

Question 14

What do all exterior angles of a polygon add up to

Answer 14

360

Question 15

How to find measure of one exterior angle on a regular polygon

Answer 15

360 dived by number of sides

Question 16

Definition of parralegram

Answer 16

A quadrilateral both pairs of apposite sides being parallel

Question 17

Properties of a parallelogram

Answer 17

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)

Question 18

Definition of a rhombus

Answer 18

Quadrilateral with four congruent sides

Question 19

Definition of a rectangle

Answer 19

Quadrilateral with 4 right angles

Question 20

Definition of a square

Answer 20

A quadrilateral with 4 congruent sides and 4 right angles ( essentials just both a rhombus and a square)

Question 21

Properties of a rhombus

Answer 21

1Diagonals of a rhombus bisect corner angles
2 diagonals of a rhombus are perpendicular

Question 22

Properties of a rectangle

Answer 22

1 diagonals congruent
2 if a parallelogram with one right angle then it is a rectangle

Question 23

Leg definition

Answer 23

Parts of trapezoid not parallel

Question 24

Bases

Answer 24

Parallels sides of trapezoid not necessarily bottom and top

Question 25

Definition of trapezoid

Answer 25

Quadrilateral with only one pair of parallel sides ( as not to be a parallelogram)

Question 26

Definition of an isosceles trapezoid

Answer 26

Trapezoid with congruent legs

Question 27

Properties of an isosceles trapezoid

Answer 27

1 has 2 pairs of congruent base angles
2 congruent diagonals
3 mid segment is the average of the bases

Question 28

Definition of a kite

Answer 28

A quadrilateral with 2 pairs of connective congruent sides and no opposite sides congruent

Question 29

Properties of a kite

Answer 29

1)Diagonals are perpendicular
2) 1 diagonal bisects the angles it touches (usually the longer diagonal)

Question 30

Other property of a trapezoid

Answer 30

Consecutive leg and base angles supplementary . Cus is same side interior angles theorem