Chapter 8

Question 1

convex

Answer 1

a poygon is convex if no line that contains a side of the polygon passes through the interior of the polygon.

Question 2

concave

Answer 2

a polygon that is not convex is called concave

Question 3

equilateral

Answer 3

a polygon where all of its sides are congruent

Question 4

equiangular

Answer 4

a polygon where all of its interior angles are congruent

Question 5

regular

Answer 5

a polygon where both it is both equilateral and equiangular

Question 6

Theorem 8.1 “polygon interior angles theorem”

Answer 6

The sum of the measure of the interior angles o fa convex polygon with n sixes is (n - 2) of 180`

Question 7

8.2 Theorem “Polygon exterior angles theorem”

Answer 7

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

Question 8

Area

Answer 8

the amount of surface covered by a figure

Question 9

Area of a square

Answer 9

A = (side)^2

Question 10

Area of a rectangle

Answer 10

Area = (base)(height)

Question 11

height of a triangle

Answer 11

the perpendicular segment from a vertex to the line containing the opposite side.

Question 12

base of the triangle

Answer 12

the opposite side of the of the perpendicular segment

Question 13

Area of a triangle

Answer 13

Area = 1/2(base)(height)

Question 14

Theorem 8.3 “Areas of similar polygons”

Answer 14

If two polygons are similar with a scale factor of a/b, then the ratio of their areas is a^2 over b^2

Question 15

bases of a parallelogram

Answer 15

either pair of parallel sides of a parallelogram

Question 16

height of a parallelogram

Answer 16

the shortest distance between the bases of a parallelogram

the segment that represents the heights is perpendicular to the bases.

Question 17

Area of a parallelogram

Answer 17

Area = (base)(height)

Question 18

Area of a rhombus

Answer 18

Area = 1/2(product of diagonals)

Question 19

height of the trapezoid

Answer 19

the shortest distance between the bases

Question 20

Area of a trapezoid

Answer 20

Area = 1/2(height)(sum of bases)

Question 21

Circle

Answer 21

the set of all points in a plane that are the same distance from a given point

Question 22

Center

Answer 22

the set of all points in a plane that are the same distance from a given point, this is the center

Question 23

radius

Answer 23

the distance from the center to a point on the circle

Question 24

diameter

Answer 24

the distance across the circle, through the center

Question 25

circumference

Answer 25

the distance around the circle

Question 26

Circumference of a circle

Answer 26

Circumference = 3.14 of diameter or 2 of 3.14 of radius

Question 27

Area of a circle

Answer 27

Area = 3.14(radius)^2

Question 28

central angle

Answer 28

an angle whose vertex is the center of a circle

Question 29

sector

Answer 29

a region of a circle determined by two radii and a part of the circle
Area of secter measure of central angle
————————— = —————————————
Area of entire circle measure of entire circle