Chapter 10

Question 0

Theorem 10-2: Area of a Parallelogram

Answer 0

The area of a parallelogram is the product of a base and its corresponding height

Question 1

Theorem 10-1: Area of Rectangle

Answer 1

The area of a rectangle is the product of its base and height

Question 2

Theorem 10-3:Area of a Triangle

Answer 2

The area of a triangle is half the product of a base and its corresponding height

Question 3

Base of a Parallelogram

Answer 3

A base of a parallelogram is any of its sides

Question 4

Corresponding Altitude

Answer 4

The corresponding altitude is a segment perpendicular to the line containing that base, drawn from the side opposite the base

Question 5

Height of the Parallelogram

Answer 5

The height of the parallelogram is the length of an altitude

Question 6

Base of a Triangle

Answer 6

A base of a triangle is any of its sides

Question 7

Height of a Triangle

Answer 7

The height of a triangle is the length of any altitude to the line corresponding that base

Question 8

Theorem 10-4: Area of a Trapezoid

Answer 8

The area of a trapezoid if half the product of the height and the sum of the bases

Question 9

Theorem 10-5: Area of a Rhombus or a Kite

Answer 9

The area of a rhombus or a kite is half the product of the lengths of its diagonals

Question 10

Height of a Trapezoid

Answer 10

The height of a trapezoid is the perpendicular distance h between the bases

Question 11

Center of a Regular Polygon

Answer 11

The center of a regular polygon us equidistant from the vertices

Question 12

Apothem

Answer 12

The apothem is the distance from the center to a side

Question 13

Central Angle of a Regular Polygon

Answer 13

A central angle of a regular polygon has its vertex at the center, and its sides pass through consecutive angles

Question 14

Theorem 10-6

Answer 14

Area of a regular polygon with the apothem and perimeter is A=1/2aP

Question 15

Theorem 10-7: Perimeters and Areas of Similar Figures

Answer 15

If the similarity ratio of two similar figures is a/b then:

1. The ratio of the perimeters a/b
2. The ratio of the areas is a2/b2

Question 16

Theorem 10-8: Area of a Triangle Given SAS

Answer 16

The area of a triangle is one half the product of the lengths of the two sides and the sine of the included angle

Question 17

Circle

Answer 17

A circle is the set of all points equidistant from a given point called the center

Question 18

Center

Answer 18

A center of a circle is how you name the circle- use the point in the center

Question 19

Radius

Answer 19

A radius is a segment that has one endpoint at the center and the other endpoint in the circle

Question 20

Congruent Circles

Answer 20

Congruent circles have congruent radii

Question 21

Diameter

Answer 21

A diameter is a segment that contains the center and has both endpoints on the circle

Question 22

Central Angle

Answer 22

A central angle is an angle whose vertex is the center of the circle

Question 23

Arc

Answer 23

An arc is part of the circle

Question 24

Semi Circle

Answer 24

Semi circle is 180 degrees and is half the circle

Question 25

Minor Arc

Answer 25

Minor arc is smaller than a semi circle so less then 180 degrees

Question 26

Major Arc

Answer 26

Major arc is greater than a semi circle so 181 degrees

Question 27

Adjacent Arcs

Answer 27

Adjacent arcs are arcs of the same circle that have exactly one vertex common. Add adjacent angles like to add adjacent angles

Question 28

Postulate 10-1: Arc Addition Postulate

Answer 28

The measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs

Question 29

Theorem 10-9: Circumference of a Circle

Answer 29

The circumference of a circle is pi times the diameter

Question 30

Theorem 10-10: Arc Length

Answer 30

The length of a circle is the product of the ratio of measure of the arc over 360 and the circumference of the circle

Question 31

Circumference

Answer 31

Circumference of a circle is the distance around the circle

Question 32

Pi

Answer 32

Pi is the ratio of the circumference of a circle to its diameter

Question 33

Concentric Circles

Answer 33

Concentric circles are circles that lie in the same plane and have the same center

Question 34

Arc length

Answer 34

Arc length is a fraction of a circles circumference

Question 35

Congruent Arcs

Answer 35

Congruent arcs are arcs that have the same measure and are in the same circle or in congruent circles

Question 36

Theorem 10-11; Area of a Circle

Answer 36

The area of a circle is the product of pi and the square of the radius

Question 37

Theorem 10-12: Area of a Sector of a Circle

Answer 37

The length of a circle is the product of the ratio measure of arc over 360 and the area of the circle

Question 38

Sector of a Circle

Answer 38

A sector of a circle is a region bounded by an arc of the circle and the two radii to the arcs endpoints

Question 39

Segment of a Circle

Answer 39

A segment of a circle is a part of a circle bounded by an arc and the segment joining its endpoints