Upload
cathy
View
27
Download
0
Tags:
Embed Size (px)
DESCRIPTION
Beat the Computer!. Geometry Vocabulary and Formulas for Unit 1. 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. inductive reasoning. - PowerPoint PPT Presentation
Citation preview
Chris Giovanello, LBUSD Math Curriculum Office, 2004
Beat the Computer!Geometry
Vocabulary and
Formulas for Unit 1
Chris Giovanello, LBUSD Math Curriculum Office, 2004
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, 2004
inductive reasoning
Chris Giovanello, LBUSD Math Curriculum Office, 2004
inductive reasoning:
reasoning based on patterns you
observeUsing the pattern, what is the next term in the sequence?
Chris Giovanello, LBUSD Math Curriculum Office, 2004
conjecture
Chris Giovanello, LBUSD Math Curriculum Office, 2004
conjecture:
a conclusion reached when using inductive reasoning
“Based on the pattern, I think the answer is…”
Chris Giovanello, LBUSD Math Curriculum Office, 2004
counterexample
Chris Giovanello, LBUSD Math Curriculum Office, 2004
counterexample:
an example for which a conjecture
is falseConjecture: All integers are natural numbers.
Counterexample: -1
Chris Giovanello, LBUSD Math Curriculum Office, 2004
point
Chris Giovanello, LBUSD Math Curriculum Office, 2004
point:
a location in space having no size
P
Chris Giovanello, LBUSD Math Curriculum Office, 2004
space
Chris Giovanello, LBUSD Math Curriculum Office, 2004
space:
the set of all points
Chris Giovanello, LBUSD Math Curriculum Office, 2004
line
Chris Giovanello, LBUSD Math Curriculum Office, 2004
line:
a series of points that extends in two
opposite directions without endP
Qt
line t or PQ or QP
Chris Giovanello, LBUSD Math Curriculum Office, 2004
collinear points
Chris Giovanello, LBUSD Math Curriculum Office, 2004
collinear points:
points that lie on the same line
collinear non-collinear
XY
Line
l
Z
X
Y
Line
l
Z
Chris Giovanello, LBUSD Math Curriculum Office, 2004
plane
Chris Giovanello, LBUSD Math Curriculum Office, 2004
plane:
a flat surface that has no thickness
P
Plane P
C
B
A
Plane ABC
Chris Giovanello, LBUSD Math Curriculum Office, 2004
coplanar
Chris Giovanello, LBUSD Math Curriculum Office, 2004
coplanar:
points and lines that lie in the same plane
X
coplanar
Y Line l
Line m
XY
non-coplanarLi
ne l
Line m
Chris Giovanello, LBUSD Math Curriculum Office, 2004
postulateor
axiom
Chris Giovanello, LBUSD Math Curriculum Office, 2004
postulate or axiom:
a statement that is accepted as true
without proof
Example: Through any two points there is exactly one line.
Chris Giovanello, LBUSD Math Curriculum Office, 2004
segment
Chris Giovanello, LBUSD Math Curriculum Office, 2004
segment:
the part of a line consisting of two
endpoints and all the points between them
A Bendpoint endpoint
Segment AB
Chris Giovanello, LBUSD Math Curriculum Office, 2004
ray
Chris Giovanello, LBUSD Math Curriculum Office, 2004
ray:
the part of a line consisting of two
endpoints and all the points between them
X Y endpoint
Ray YX
Chris Giovanello, LBUSD Math Curriculum Office, 2004
opposite rays
Chris Giovanello, LBUSD Math Curriculum Office, 2004
opposite rays:
two collinear rays with the same endpoint
X SR
and are opposite raysRQ RS
Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel lines
Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel lines:
coplanar lines that do not intersect
Chris Giovanello, LBUSD Math Curriculum Office, 2004
skew lines
Chris Giovanello, LBUSD Math Curriculum Office, 2004
skew lines:
lines that do not lie in the same plane
Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel planes
Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel planes:
planes that do not intersect
A
G
FE
D C
B
H
Plane ABCD is parallel to Plane
EFGH
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent () segments
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent segments:
segments with the same length
A B
C D
A B
C D
5 cm
5 cm
AB = CD
AB = CD
Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint of a segment
Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint of a segment:
a point that divides a segment into two
congruent segments
A B C
BCAB
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle:
two rays with the same endpoint
vertex
Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute angle:
an angle whose measure is between 0º
and 90º
Chris Giovanello, LBUSD Math Curriculum Office, 2004
right angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
right angle:
an angle whose measure is exactly 90º
Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse angle:
an angle whose measure is between
90º and 180º
Chris Giovanello, LBUSD Math Curriculum Office, 2004
straight angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
straight angle:
an angle whose measure is exactly
180º
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent angles:
angles with the same measure
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular lines
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular lines:
two lines that intersect to form right angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular bisector of a
segment
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular bisector of a segment:
a line, segment, or ray that is to the segment at its midpoint, thereby bisecting the segment
into two segments
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle bisector
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle bisector:
a ray that divides an angle into two congruent
coplanar angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
distance formula
Chris Giovanello, LBUSD Math Curriculum Office, 2004
distance formula:
the distance d between two points A(x1,x2) and
B(y1,y2):2
122
12 )()( yyxxd
Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint formula
Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint formula:
the coordinates of the midpoint M of AB with endpoints A(x1,x2) and
B(y1,y2) are:
2,
22121 yyxx
M