Geometry Ch 10 - Area

Question 1

Area of Rectangle

Answer 1

A = bh

Question 2

Area of Parallelogram

Answer 2

A = bh where h is the corresponding height.

Question 3

Base of a Parallelogram is…

Answer 3

… any of its sides. the corresponding altitude is a segment perpendicular to the line containing that base, drawn from the side opposite the base. The height is the length of an altitude.

Question 4

Area of a Triangle

Answer 4

A = 1/2(bh)

Question 5

Base of a Triangle

Answer 5

Any of it’s sides.

Question 6

Corresponding Height of Triangle

Answer 6

The length of the altitude to the line containing the base of a triangle.

Question 7

Height of a Trapezoid

Answer 7

The perpendicular distance h between the bases.

Question 8

Area of a Trapezoid

Answer 8

A = 1/2[h (b₁ + b₂)]

Question 9

Area of a Rhombus or a Kite

Answer 9

A = 1/2(d₁d₂)

Question 10

Radius of a Regular Polygon

Answer 10

The distance from the center to a vertex.

Question 11

Apothem of a Regular Polygon

Answer 11

The perpendicular distance from the center to a side.

Question 12

Area of a Regular Polygon

Answer 12

A = 1/2(ap) where a = the apothem and p = the perimeter.

Question 13

Perimeters and Areas of Similar Figures

Answer 13

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

(1) the ratio of their perimeters is a/b and
(2) the ratio of thier areas is a²/b²

Question 14

Area of a Triangle given SAS

Answer 14

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

Area = 1/2[bc(sin A)

Question 15

Law of Sines and Cosines

Answer 15

Question 16

Circle

Answer 16

In a plane, it’s the set of all points equidistant from a given point called the center. You name it by it’s center.

Question 17

Radius

Answer 17

A segment that has one endpoint at the center and the endpoint on the circle.

Question 18

Congruent Circles

Answer 18

Have congruent radii.

Question 19

Diameter

Answer 19

A segment that contains the center of a circle and has both endpoints on the circle.

Question 20

Central Angle of a Circle

Answer 20

An angle whose vertex is the center of the circle.

Question 21

Arc

Answer 21

A part of the circumference of a circle or other curve.

Question 22

Semicircle

Answer 22

One type of an arc that contains half a circle.

Question 23

Minor Arc

Answer 23

Is smaller than a semicircle.

Question 24

Major Arc

Answer 24

An arc that is geater than a semicircle.

Question 25

Adjacent Arcs

Answer 25

Arcs of the same circle that have exactly one point in common.

Question 26

Arc Addition Postulate

Answer 26

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

Question 27

Circumference of a Circle

Answer 27

C = πd = 2πr

Question 28

Arc Length

Answer 28

The product of the ratio (measure of the arc)/360 and the circumference of the circle.

Note: It is possible for two arcs of different circles to have the same measure but different lengths, as shown at the left. It is also possible for two arcs of different circles to have the same length but different measures.

Question 29

Congruent Arcs

Answer 29

Arcs that have the same measure and are in the same circle or in congruent circles.

Question 30

Area of a Circle

Answer 30

A = πr²

Question 31

Sector of a circle

Answer 31

A region bounded by an arc of the circle and the two radii to the arc’s endpoints. You name a sector using one arc endpoint, the center of the circle, and the other arc endpoint.

Question 32

Segment of a Circle

Answer 32

The part of a circle bounded by an arc and the segment joinging its endpoints.

Question 33

Area of Segment of Circle

Answer 33

The area of the sector minus the area of the triangle formed.

Question 34

Geometric Probability

Answer 34

Comparing measurements of sets of points.