Polygons

Question 1

sum of int angles of any polygon

Answer 1

(n-2)180

Question 2

number of sides given a sum

Answer 2

(n-2)180 = sum

Question 3

one int. angle in a regular polygon

Answer 3

(n-2)180/2

Question 4

Sum given one angle in a regular polygon

Answer 4

(n-2)180/n = angle

Question 5

Sum of exterior angles

Answer 5

360

Question 6

One exterior angle in a regular polygon

Answer 6

360/n

Question 7

number of sides given exterior angle

Answer 7

360/n = angle measure

Question 8

Properties of a parallelogram

Answer 8

Opposite sides congruent
Opposite angles congruent
Consecutive angles supplementary
Diagonals bisect each other

Question 9

Properties of a rectangle

Answer 9

4 rt angles
Congruent diagonals

Question 10

Properties of a square

Answer 10

4 congruent angles and sides

Question 11

Properties of a rhombus

Answer 11

Four congruent sides
Perpendicular diagonals
Diagonals bisect angles

Question 12

Parallelogram theorem

Answer 12

Diagonals create two congruent triangles

Question 13

polygon

Answer 13

a simple closed figure formed by a finite number of linear segments called sides.

Question 14

vertex

Answer 14

any point where two sides meet

Question 15

3 sided shapes

Answer 15

triangle

Question 16

4 sided shapes

Answer 16

quadrilateral

Question 17

5 sided shapes

Answer 17

pentagon

Question 18

6 sided shapes

Answer 18

hexagon

Question 19

7 sided shapes

Answer 19

septagon/heptagon

Question 20

8 sided shapes

Answer 20

octagon

Question 21

9 sided shapes

Answer 21

nonagon

Question 22

10 sided shapes

Answer 22

decagon

Question 23

12 sided shapes

Answer 23

dodecagon

Question 24

how to name a shape with a number of sides (n) that don’t have names

Answer 24

n-gon

Question 25

convex

Answer 25

no points of the lines are in the interior

Question 26

how to determine if a shape is concave

Answer 26

if you can find any two points on the triangle and the line that connects it goes outside the triangle, it's concave.

Question 27

regular polygon

Answer 27

a convex polygon that is both equilateral and equilangular

Question 28

diagonal

Answer 28

a segment joining any two non-consecutive vertices (not a side)

Question 29

trapezoid definition

Answer 29

a quadrilateral with exactly one pair of parallel sides

Question 30

what are the parallel sides in a trapazoid called

Answer 30

bases

Question 31

what are the non-parallel sides in a trapezoid called

Answer 31

legs

Question 32

isosceles trapezoid definition

Answer 32

a trapezoid with congruent legs

Question 33

Properties of an isosceles trapezoid

Answer 33

each pair of base angles are congruent diagonals are congruent

Question 34

How can I determine if a polygon is a trapezoid

Answer 34

one or more congruent base angles congruent diagonals

Question 35

how to determine if a shape is a trapezoid

Answer 35

one pair of parallel sides

Question 36

midsegment of a trapezoid

Answer 36

a segment that connects the midpoints of the legs of a trapezoid

Question 37

trapezoid midsegment theorums

Answer 37

a midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases

Question 38

kite definition

Answer 38

a quadrilateral with exactly two pairs of consecutive congruent sides, but its opposite sides are not congruent

Question 39

how to identify a kite

Answer 39

Perpindicular diagonals exactly one pair of congruent opposite angles

Question 40

rectangle definition

Answer 40

a parallelogram with four right angles and congruent diagonals

Question 41

is a square a rectangle

Answer 41

always

Question 42

is a rectangle a square

Answer 42

sometimes

Question 43

is a rhombus a square

Answer 43

sometimes

Question 44

is a parallelogram a rectangle

Answer 44

sometimes

Question 45

a square is a rhombus

Answer 45

always

Question 46

a rhombus is a parallelogram

Answer 46

always

Question 47

a trapezoid is a parallelogram

Answer 47

never

Question 48

definition of a parallelogram

Answer 48

a quadrilateral with both pairs of opposite sides parallel

Question 49

a rectangle is a rhombus

Answer 49

sometimes

Question 50

how to prove a quadrilateral is a parallelogram

Answer 50

both pairs of opposite sides are parallel Both pairs of opposite angles are congruent Diagonals bisect one pair of opposite sides are congruent and parallel