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Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and...
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![Page 1: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/1.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
Beat the Computer!Geometry
Vocabulary and
Formulas for Unit 1
![Page 2: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/2.jpg)
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
![Page 3: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/3.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
inductive reasoning
![Page 4: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/4.jpg)
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?
![Page 5: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/5.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
conjecture
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
conjecture:
a conclusion reached when using inductive reasoning
“Based on the pattern, I think the answer is…”
![Page 7: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/7.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
counterexample
![Page 8: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/8.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
counterexample:
an example for which a conjecture
is falseConjecture: All integers are natural numbers.
Counterexample: -1
![Page 9: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/9.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
point
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
point:
a location in space having no size
P
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
space
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
space:
the set of all points
![Page 13: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/13.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
line
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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
![Page 15: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/15.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
collinear points
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
plane
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
plane:
a flat surface that has no thickness
P
Plane P
C
B
A
Plane ABC
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
coplanar
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
postulateor
axiom
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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.
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
segment
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
ray
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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
![Page 27: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/27.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
opposite rays
![Page 28: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/28.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
opposite rays:
two collinear rays with the same endpoint
X SR
and are opposite raysRQ RS
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel lines
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel lines:
coplanar lines that do not intersect
![Page 31: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/31.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
skew lines
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
skew lines:
lines that do not lie in the same plane
![Page 33: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/33.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
parallel planes
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent () segments
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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
![Page 37: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/37.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint of a segment
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle
![Page 40: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/40.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle:
two rays with the same endpoint
vertex
![Page 41: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/41.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute angle
![Page 42: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/42.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute angle:
an angle whose measure is between 0º
and 90º
![Page 43: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/43.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
right angle
![Page 44: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/44.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
right angle:
an angle whose measure is exactly 90º
![Page 45: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/45.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse angle
![Page 46: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/46.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse angle:
an angle whose measure is between
90º and 180º
![Page 47: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/47.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
straight angle
![Page 48: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/48.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
straight angle:
an angle whose measure is exactly
180º
![Page 49: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/49.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent angles
![Page 50: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/50.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent angles:
angles with the same measure
![Page 51: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/51.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular lines
![Page 52: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/52.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular lines:
two lines that intersect to form right angles
![Page 53: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/53.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
perpendicular bisector of a
segment
![Page 54: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/54.jpg)
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
![Page 55: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/55.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle bisector
![Page 56: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/56.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
angle bisector:
a ray that divides an angle into two congruent
coplanar angles
![Page 57: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/57.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
distance formula
![Page 58: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/58.jpg)
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
![Page 59: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/59.jpg)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
midpoint formula
![Page 60: Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1.](https://reader035.fdocuments.in/reader035/viewer/2022070305/5514a237550346d36e8b5a66/html5/thumbnails/60.jpg)
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