Beat the Computer!
Geometry
Vocabulary
for
Unit 7
Chris Giovanello, LBUSD Math Curriculum Office, 2011
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
Chris Giovanello, LBUSD Math Curriculum Office, 2011
base of a
parallelogram
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
base of a parallelogram:
any of the sides of a
parallelogram
base
Chris Giovanello, LBUSD Math Curriculum Office, 2011
altitude of a
parallelogram
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
altitude of a parallelogram:
a segment perpendicular to
the line containing that base
drawn from the side opposite
the base
altitude
Chris Giovanello, LBUSD Math Curriculum Office, 2011
height of a
parallelogram
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
height of a
parallelogram:
the length of an altitude
length of
this
segment
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a
parallelogram
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
area of a
parallelogram:
A = bh
h
b
Chris Giovanello, LBUSD Math Curriculum Office, 2011
base of a
rectangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
base of a rectangle:
any side of the rectangle
(since, by definition, it is a
parallelogram with four right angles)
base
Chris Giovanello, LBUSD Math Curriculum Office, 2011
height of a
rectangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
height of a rectangle:
the side perpendicular
to the base
height
base
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a
rectangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 349
area of a rectangle:
A = bh
h
b
Chris Giovanello, LBUSD Math Curriculum Office, 2011
base of a
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 350
base of a triangle:
any side of a triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
height of a
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 350
height of a triangle:
length of the altitude to
the line containing the base
height
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 350
area of a triangle:
A = 2 bh
1
height
Chris Giovanello, LBUSD Math Curriculum Office, 2011
Pythagorean
Theorem
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 357
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.
2
a
+
2
b
=
2
c
c
a
b
Chris Giovanello, LBUSD Math Curriculum Office, 2011
Pythagorean
triple
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 357
Pythagorean triple:
a set of nonzero whole
numbers a, b, and c that
satisfy the equation
2
2
2
a +b =c
Some common triples:
3, 4, 5
5, 12, 13
8, 15, 17
Chris Giovanello, LBUSD Math Curriculum Office, 2011
7, 24, 25
45-45-90
Triangle Theorem
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 366
45-45-90 Triangle Theorem:
both legs are congruent and
the length of the hypotenuse
is 2 times the length of a leg
45
s
2
s
45
s
Chris Giovanello, LBUSD Math Curriculum Office, 2011
30-60-90
Triangle Theorem
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 367
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 3
times the length of the shorter leg.
2s
s
3
s
Chris Giovanello, LBUSD Math Curriculum Office, 2011
height of a
trapezoid
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 374
height of a trapezoid:
the perpendicular distance
h between the bases
base
b1
leg
h
leg
b2
base
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a
trapezoid
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a trapezoid:
pg. 374
A = h(b1 + b2)
1
2
b1
h
b2
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a
rhombus or kite
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a rhombus or
kite:
pg. 375
A=
d1
1
2
d 1d 2
d1
d2
d2
Chris Giovanello, LBUSD Math Curriculum Office, 2011
center of a
regular polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 380
center of a regular polygon:
the center of the
circumscribed circle
center
Chris Giovanello, LBUSD Math Curriculum Office, 2011
radius of a
regular polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 380
radius of a regular polygon:
the distance from the
center to a vertex
radius
Chris Giovanello, LBUSD Math Curriculum Office, 2011
apothem of a
regular polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 380
apothem of a regular polygon:
the perpendicular distance
from the center to a side
apothem
Chris Giovanello, LBUSD Math Curriculum Office, 2011
area of a regular
polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 380
area of a regular polygon:
A=
1
2
ap
a
p
Chris Giovanello, LBUSD Math Curriculum Office, 2011
circle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 386
circle:
a set of points in a plane
equidistant from a given point
circle
given point
Chris Giovanello, LBUSD Math Curriculum Office, 2011
center of a
circle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 386
center of a circle:
the given point in which a set
of points in a plane are all
equidistant
circle P
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
radius of a
circle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 386
radius of a circle:
a segment that has one
endpoint at the center and the
other on the circle
radius
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
congruent
circles
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 386
congruent circles:
circles that have congruent
radii
r
P
q
Q
Chris Giovanello, LBUSD Math Curriculum Office, 2011
diameter
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 386
diameter:
a segment that contains
the center of the circle
diameter
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
central angle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 386
central angle:
an angle whose vertex is
the center of the circle
Central angle:  NPO
O
P
Q
N
Central angle:  Q
Chris Giovanello, LBUSD Math Curriculum Office, 2011
arc
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 387
arc:
part of a circle
A
arc
B
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
semicircle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 387
semicircle:
an arc that is half of a
circle
Y
X
Z
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
XYZ is a semicircle
minor arc
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 387
minor arc:
an arc that is smaller
than a semicircle
A
B
Chris Giovanello, LBUSD Math Curriculum Office, 2011
AB is a minor arc
major arc
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 387
major arc:
an arc that is greater
than a semicircle
O
MNO is a major arc
N
P
M
Chris Giovanello, LBUSD Math Curriculum Office, 2011
adjacent arcs
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 387
adjacent arcs:
arcs of the same circle that have
exactly one point in common
MN and NO are
adjacent arcs
N
O
P
M
Chris Giovanello, LBUSD Math Curriculum Office, 2011
circumference
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 388
circumference:
the distance around the circle
C = d = 2r
d
r
P
C
Chris Giovanello, LBUSD Math Curriculum Office, 2011
concentric
circles
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 388
concentric circles:
circles that lie in the same
plane and have the same
centers
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
arc length
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 389
arc length:
a fraction of a circle’s circumference
length of AB = mAB  2 r
360
A
B
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
congruent arcs
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 389
congruent arcs:
arcs that have the same measure and
are in the same circle or congruent
circles
A
AB  CD
B
P
D
C
Chris Giovanello, LBUSD Math Curriculum Office, 2011
sector of a
circle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 396
sector of a circle:
a region bounded by an arc of a
circle and the two radii to the arc’s
endpoints
A
B
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011
segment of a
circle
Chris Giovanello, LBUSD Math Curriculum Office, 2011
pg. 396
segment of a circle:
a part of a circle bounded by an arc
and the segment joining its
endpoints
A
B
P
Chris Giovanello, LBUSD Math Curriculum Office, 2011