Chapter 6

Question 1

Convex polygon

Answer 1

A polygon such that no line that contains a side of the polygon contains a point in the interior of the polygon

Question 2

Concave polygon

Answer 2

A polygon that is not convex

Question 3

Diagonals of a polygon

Answer 3

A segment that joins two nonconsecutive vertices

Question 4

Equilateral polygon

Answer 4

A polygon with all sides congruent

Question 5

Equiangular polygon

Answer 5

A polygon with all interior angles congruent

Question 6

Regular polygon

Answer 6

Polygon that is equilateral and equiangular

Question 7

Polygon interior angles theorem

Answer 7

The some of the measures of the interior angles of a convex n- gon is:
180(n-2)

Question 8

The measure of each interior angle of a regular n -gon is

Answer 8

180(n-2) / n

Question 9

Polygon exterior angles theorem

Answer 9

The sum of the measures of the exterior angles, one from each vertex, of a convex polygon is 360*

Question 10

Polygon

Answer 10

A plane figure that is formed by three or more segments called side such that:

1) each side intersex exactly 2 other sides, once at each end point
2) no two sides with a common endpoint are collinear

Question 11

Parallelogram

Answer 11

A quadrilateral who’s opposite sides are parallel

Question 12

Properties of parallelograms

If a quadrilateral is a p-gram
There are 4

Answer 12

Then it’s opposite sides are congruent

Then it’s opposite angles are congruent

That it’s consecutive angles are supplementary

Then it’s diagonals bisect each other

Question 13

Then The quadrilateral is a parallelogram

There are 5

Answer 13

Both pairs of opposite sides of a quadrilateral are congruent

If both pairs of opposite angles of a quadrilateral are congruent

If an angle of the quadrilateral is supplementary to both consecutive angles

If the diagonals of a quadrilateral bisect each other

If one pair of opposite sides of a quadrilateral are both congruent and parallel

Question 14

Rhombus

Answer 14

Parallelogram with four sides congruent

Question 15

Rectangle

Answer 15

Parallelogram with four right angles

Question 16

Square

Answer 16

Parallelogram that is both a rhombus and a rectangle

Question 17

A parallelogram is a rhombus if and only if

There are 2

Answer 17

Diagonals are perpendicular

Each Diagonal bisects a pair of opposite angles

Question 18

Parallelogram is a rectangle if and only if

Answer 18

It’s diagonals are congruent

Question 19

Quadrilateral is a rhombus if and only if

Answer 19

It has four sides congruent

Question 20

The quadrilateral is a rectangle if and only if

Answer 20

It has four right angles

Question 21

Trapezoid

Answer 21

Quadrilateral with exactly one pair of opposite sides that are parallel

Question 22

Isosceles trapezoid

Answer 22

Trapezoid with congruent legs

Question 23

Trapezoid base angles theorem

Answer 23

If a trapezoid is isosceles, then each pair of base angles is congruent

Question 24

Trapezoid diagonals thm

Answer 24

If a trapezoid is isosceles, then it’s diagonals are congruent

Question 25

Then it is an isosceles trapezoid

There are 2

Answer 25

If a trapezoid has congruent diagonals

If a trapezoid has one pair of congruent base angles

Question 26

Midsegment Thm for trapezoid

Answer 26

1. parallel to each base

2. its length is one half of the sum of the length of the bases