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

base

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

b

h

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)

base

pg. 349


height of a rectangle


height of a rectangle:the side perpendicular

to the baseheight

base

pg. 349


area of a rectangle


area of a rectangle:A = bh

h

b

pg. 349


base of a triangle


base of a triangle:any side of a

trianglebas

e

base

base

pg. 350


height of a triangle


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

base

pg. 350

base

height


area of a triangle


area of a triangle:A = bh2

1

pg. 350

base

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

a

b

c

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

2

s

ss 2

45

45


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.

s

pg. 367

3

s2s

3


height of a trapezoid


height of a trapezoid:the perpendicular

distance h between the basesbase

base

leg legb1

b2

h

pg. 374


area of a trapezoid


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

b1

b2

h

21

pg. 374


area of a rhombus or

kite


area of a rhombus or kite:

A = d1d221

d1

d2

d1

d2

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

21

a

p


circle


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

point

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

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

P


congruent circles


congruent circles:circles that have congruent radii

pg. 386

r

P

q

Q


diameter


diameter:a segment that

contains the center of the circle

pg. 386

diameter

P


central angle


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

pg. 386

Central angle: NPO

P Q

O

NCentral angle: Q


arc


arc:part of a circle

pg. 387

arc

P

A

B


semicircle


semicircle:an arc that is half of a

circle

pg. 387

XYZ is a semicircle

PX

Y Z


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

P

M

NO


adjacent arcs


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

common

pg. 387

MN and NO are adjacent arcs

P

M

NO


circumference


circumference:the distance around the circle

C = d = 2r

pg. 388

P

C

d r


concentric circles


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

centers

pg. 388

P


arc length


arc length:a fraction of a circle’s

circumference

pg. 389

P

A

B

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

P

A

B

C

D

AB CD


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

P

A

B


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

P

A

B

Beat the Computer!

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