Beat the Computer!

Chris Giovanello, LBUSD Math Curriculum Office, 2011

Beat the Computer!

Geometry Vocabulary for Unit 7

Directions:•A slide will appear with a term•Say the definition aloud before the computer can answer (5 sec.)•You will hear a sound when the slide changes

base of a parallelogram

base of a parallelogram:

any of the sides of a parallelogram

pg. 349

altitude of a parallelogram

altitude of a parallelogram:a segment perpendicular to

the line containing that base drawn from the side

opposite the base altitude

pg. 349

height of a parallelogram

height of a parallelogram:

the length of an altitude length of

this segment

pg. 349

area of a parallelogram

area of a parallelogram:

A = bh

pg. 349

base of a rectangle

base of a rectangle:any side of the rectangle

(since, by definition, it is a parallelogram with four right

angles)

pg. 349

height of a rectangle

height of a rectangle:the side perpendicular

to the baseheight

pg. 349

area of a rectangle

area of a rectangle:A = bh

pg. 349

base of a triangle

base of a triangle:any side of a

trianglebas

pg. 350

height of a triangle

height of a triangle:length of the altitude to the line containing the

pg. 350

height

area of a triangle

area of a triangle:A = bh2

pg. 350

height

Pythagorean Theorem

Pythagorean Theorem:In a right triangle, the sum of the

squares of the lengths of the legs to the square of the length of the

hypotenuse. a2 + b2 = c2

pg. 357

Pythagorean triple

Pythagorean triple:a set of nonzero whole

numbers a, b, and c that satisfy the equation

a2 + b2 = c2

pg. 357

Some common triples: 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25

45-45-90 Triangle Theorem

45-45-90 Triangle Theorem:both legs are congruent and

the length of the hypotenuse is times the

length of a leg

pg. 366

30-60-90 Triangle Theorem

30-60-90 Triangle Theorem:The length of the hypotenuse is

twice the length of the shorter leg. The length of the longer leg is

times the length of the shorter leg.

pg. 367

height of a trapezoid

height of a trapezoid:the perpendicular

distance h between the basesbase

leg legb1

pg. 374

area of a trapezoid

area of a trapezoid:A = h(b1 + b2)

pg. 374

area of a rhombus or

area of a rhombus or kite:

A = d1d221

pg. 375area of a rhombus or kite:

A = d1d221

center of a regular polygon

center of a regular polygon:

the center of the circumscribed circle

pg. 380

center

radius of a regular polygon

radius of a regular polygon:

the distance from the center to a vertex

pg. 380

radius

apothem of a regular polygon

apothem of a regular polygon:

the perpendicular distance from the center

to a side

pg. 380

apothem

area of a regular polygon

area of a regular polygon:A = ap

pg. 380

circle

circle:a set of points in a plane equidistant from a given

pg. 386

circle

given point

center of a circle

center of a circle:the given point in which a set of points in a plane are

all equidistant

pg. 386

circle P

radius of a circle

radius of a circle:a segment that has one

endpoint at the center and the other on the circle

pg. 386

radius

congruent circles

congruent circles:circles that have congruent radii

pg. 386

diameter

diameter:a segment that

contains the center of the circle

pg. 386

diameter

central angle

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

pg. 386

Central angle: NPO

NCentral angle: Q

arc:part of a circle

pg. 387

semicircle

semicircle:an arc that is half of a

circle

pg. 387

XYZ is a semicircle

minor arc

minor arc:an arc that is smaller

than a semicircle

pg. 387

AB is a minor arcA B

major arc

major arc:an arc that is greater

than a semicircle

pg. 387

MNO is a major arc

adjacent arcs

adjacent arcs:arcs of the same circle that have exactly one point in

common

pg. 387

MN and NO are adjacent arcs

circumference

circumference:the distance around the circle

C = d = 2r

pg. 388

concentric circles

concentric circles:circles that lie in the same plane and have the same

centers

pg. 388

arc length

arc length:a fraction of a circle’s

circumference

pg. 389

length of AB =

mAB360 2 r

congruent arcs

congruent arcs:arcs that have the same measure

and are in the same circle or congruent circles

pg. 389

sector of a circle

sector of a circle:a region bounded by an arc of a circle and the two radii to the

arc’s endpoints

pg. 396

segment of a circle

segment of a circle:a part of a circle bounded by an arc and the segment joining its

endpoints

pg. 396

Beat the Computer!

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