Ch. 7 Vocab and Theorems

Question 0

Area of a parallelogram

Answer 0

A = bh

Question 1

Area of a rectangle

Answer 1

A = bh

Question 2

Base of a parallelogram

Answer 2

Any of its sides

Question 3

Altitude

Answer 3

A segment perpendicular to the line containing the base of a parallelogram drawn from one side opposite the base.

Question 4

Height

Answer 4

The length of an altitude

Question 5

Area of a triangle

Answer 5

A = 1/2bh

Question 6

Base of a triangle

Answer 6

Any of a triangles sides

Question 7

Pythagorean Theorem

Answer 7

In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse
a^2 + b^2 = c^2

Question 8

Pythagorean triple

Answer 8

A set of nonzero whole numbers a, b, and c that satisfy the Pythagorean theorem.

Question 9

List some Pythagorean triples

Answer 9

3, 4, 5
5, 12, 13
8, 15, 17
7, 24, 25

Question 10

Converse of the Pythagorean Theorem

Answer 10

Of the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two side, then the triangle is a right triangle.

Question 11

Obtuse triangle theorem

Answer 11

The the square of the length of the longest side of a triangle is greater than the sum of the squares of the length of the other two sides, the. The triangle is obtuse.
If c^2 > a^2 + b^2, the triangle is obtuse

Question 12

Acute triangle theorem

Answer 12

If c^2 < a^2 + b^2, the triangle is acute

Question 13

45 -45 -90 triangle theorem

Answer 13

In a 45 -45 -90 triangle, both legs are congruent and the length of the hypotenuse is square root 2 the length of a leg.

Question 14

30 -60 -90 triangle theorem

Answer 14

Hypotenuse = 2 • shorter leg

Longer leg = square root 3 • shorter leg

Question 15

Area of rhombus or kite

Answer 15

A = 1/2d1d2

Question 16

Area of a trapezoid

Answer 16

A = 1/2h (b1 + b2)

Question 17

Center of a regular polygon

Answer 17

Center of the circumscribed center

Question 18

Radius

Answer 18

The distance from the center to a vertex

Question 19

Apothem

Answer 19

The perpendicular distance from the center to a side

Question 20

Area of a regular polygon

Answer 20

A = 1/2ap

Question 21

Circle

Answer 21

The set of all points equidistance from a given point call the center

Question 22

Center

Answer 22

The point the set of a points of a circle are equidistance from

Question 23

Congruent circles

Answer 23

Circles that have congruent radii

Question 24

Diameter

Answer 24

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

Question 25

Central angle

Answer 25

An angle whose vertex is the center of the circle

Question 26

Semicircle

Answer 26

Half of a circle

Question 27

Minor arc

Answer 27

Smaller than a semicircle

Question 28

Major arc

Answer 28

Greater than a semicircle

Question 29

Adjacent arcs

Answer 29

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

Question 30

Arc addition postulate

Answer 30

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

Question 31

Circumference

Answer 31

The distance around the circle

Question 32

Concentric circles

Answer 32

Circles that lie in the same plane and have the same center

Question 33

Arc length

Answer 33

A fraction of a circle's circumference L = m(AB •2pi r ------ 360

Question 34

Circumference of a circle

Answer 34

C = pi d

Question 35

Congruent arcs

Answer 35

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

Question 36

Area of a circle

Answer 36

A = pi r^2

Question 37

Sector of a circle

Answer 37

A region bounded by an arc of the circle and the two radii to the arc's endpoints

Question 38

Area of a sector of a circle

Answer 38

A = m(AB • pi r^2 ------- 360

Question 39

Segment of a circle

Answer 39

A part of a circle bounded by an arc and the segment joining it's endpoints

Question 40

Geometric probability

Answer 40

A probability that uses a geometric model in which points represent outcomes.