Chapter 6

Question 1

Polygon

Answer 1

A closed planed figure formed by 3 or more segments

Question 2

Triangle

Answer 2

3 sided

Question 3

Quadrilateral

Answer 3

4 sided

Question 4

Pentagon

Answer 4

5 sided

Question 5

Hexagon

Answer 5

6 sided

Question 6

Septagon/Heptagon

Answer 6

7 sided

Question 7

Octogon

Answer 7

8 sided

Question 8

Nonagon

Answer 8

9 sided

Question 9

Decagon

Answer 9

10 sided

Question 10

Hendecagon

Answer 10

11 sided

Question 11

Dodecagon

Answer 11

12 sided

Question 12

n-gon

Answer 12

n sides

Question 13

Regular Polygon

Answer 13

Both equilateral and equiangular

Question 14

Concave

Answer 14

Diagonals on exterior

Question 15

Convex

Answer 15

Diagonals in interior

Question 16

Polygon Angle Sum Theorem

Answer 16

The sum of the interior angle measures of a convex polygon with n sides is:

(n-2)180

Question 17

Polygon Exterior Angle Sum Theorem

Answer 17

The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees

Question 18

Parallelogram

Answer 18

A quadrilateral with 2 pairs of parallel sides

Question 19

Parallelogram Theorems

Answer 19

• If a quadrilateral is a parallelogram, then its opposite angles are congruent
• If a quadrilateral is a parallelogram, then its consecutive angles are supplementary
• If a quadrilateral is a parallelogram, then its diagonals bisect each other
• If a quadrilateral is a parallelogram, then its opposite sides are congruent

Question 20

Conditions for Parallelograms

Answer 20

• Both pairs of opposite sides are parallel
• One pair of opposite sides are parallel and congruent
• Both pairs of opposite sides are congruent
• Both pairs of opposite angles are congruent
• One angle is supplementary to both of its consecutive angles
• The diagonals bisect each other

Question 21

Rectangle

Answer 21

A quadrilateral with 4 right angles

Question 22

Properties of Rectangles

Answer 22

• If a quadrilateral is a rectangle, then it is a parallelogram
• If a parallelogram is a rectangle, then its diagonals are congruent

Question 23

Rhombus

Answer 23

A quadrilateral with 4 congruent sides

Question 24

Properties of Rhombi

Answer 24

• If a quadrilateral is a rhombus, then it is a parallelogram (rhombus –> parallelogram)
• If a parallelogram is a rhombus, then its diagonals are perpendicular (rhombus –> perpendicular diags.)
• If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles (rhombus –> each diagonal bisects opposite angles)

Question 25

Square

Answer 25

A quadrilateral with 4 congruent sides and 4 right angles

Question 26

Properties of Squares

Answer 26

- Square is a parallelogram - Square is a rectangle - Square is a rhombus *Properties apply for all 3

Question 27

Conditions for Rectangles

Answer 27

- If one angle of a parallelogram is a right angle, then the parallelogram is a rectangle - If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle

Question 28

Conditions for Rhombuses

Answer 28

- If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus - If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus - If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus

Question 29

Kite

Answer 29

A quadrilateral with exactly 2 pairs of congruent consecutive sides

Question 30

Properties of a Kite

Answer 30

- If a quadrilateral is a kite, then its diagonals are perpendicular - If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent - Kite --> one diagonal bisects opposite angles

Question 31

Trapezoid

Answer 31

Quadrilateral with one pair of parallel sides

Question 32

Isosceles Trapezoid

Answer 32

Trapezoid with congruent legs

Question 33

Properties of Isosceles Trapezoids

Answer 33

- If a quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent - If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles - A trapezoid is an isosceles if and only if its diagonals are congruent

Question 34

Mid-segment of a Trapezoid

Answer 34

A segment whose endpoints are the midpoints of the legs

Question 35

Trapezoid Mid-segment Theorem

Answer 35

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases