Chapter 11.1-11.3

Question 1

Herons Formula

Answer 1

Sides of the triangle be (a, b, c) and let s (semi-perimeter) be as follows: s= 1/2(a+b+c) then the area of a triangle is as follows:
A= square root (s(s-a) (s-b) (s-c)

Question 2

Perimeter

Answer 2

Some of the lengths of the sides of a polygon

Question 3

Linear measurement

Answer 3

A one dimensional measurement (length, distance)

Question 4

Area

Answer 4

The number of square units contained in the interior of a polygon

Question 5

Area of a square

Answer 5

Area of a square is the square of the length of its side

A= s2

Question 6

Area congruence postulate

Answer 6

If two polygons are congruent, then they have the same area

Question 7

Area addition postulate

Answer 7

The area of a REGION is the sum of the areas of all it’s nonoverlapping parts

Question 8

Area of a rectangle thm

Answer 8

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

A=b•h

Question 9

Area of a parallelogram thm

Answer 9

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

A= b•h

Question 10

Corresponding height

Answer 10

Length of the altitude drawn to the chosen base

Question 11

Area of a triangle thm

Answer 11

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

A=1/2(b•h)

Question 12

Area of a trapezoid thm

Answer 12

The area of a trapezoid is half the product of the height and the sum of the bases, or

A= 1/2 h (b1 + b2)

Question 13

If the diagonals of a quadrilateral are perpendicular, then

Answer 13

Then the area of the quadrilateral is half the product of the length of the diagonals, or

A= 1/2 (d1) (d2)

Question 14

Kite

Answer 14

A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent

Question 15

Apothem of a regular polygon

Answer 15

The distances between the center and a side

Question 16

Central angle of a regular polygon

Answer 16

Angle whose vertex is the center and whose sides contain two consecutive vertices of a polygon

Question 17

Thm 11.7: area of a regular polygon

Answer 17

The area of a regular polygon is one half of the product of the apothem (a) and the perimeter (p)
A= 1/2 AP

Question 18

Circumference

Answer 18

Distance around a circle

Question 19

Circumference of a circle

Answer 19

The ratio of the circumference C and the diameter D of any circle is pi

C= 2pi r

Question 20

Arc length

Answer 20

Fraction of the circumference of a circle

2 pi r (m

Question 21

Area of a circle

Answer 21

A= pi r2

Question 22

Actor of a circle

Answer 22

REGION bounded by to radii of the circle and their intercepted arc

Question 23

Area of a sector

Answer 23

Pi r2 (m

Question 24

Segment of a circle

Answer 24

Region of a circle bounded by a cord and is intercepted arc

Question 25

Minor segment

Answer 25

Segment whose arc is less than 180°

Question 26

Area of a minor segment

Answer 26

(Area of sector) - (area of triangle)

Question 27

Center of a regular polygon

Answer 27

Center of the circle circumscribed about the polygon

Question 28

Radius of a polygon

Answer 28

Radius of the circumscribed circle

Question 29

Theorem 11.11: areas of similar polygons theorem

Answer 29

If two polygons are similar with corresponding sides in the ratio of a: B, then the ratio of the areas is a2 : b2