Download Ch. 3: Parallel and Perpendicular Lines

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Transcript 
Beat the Computer!
Geometry
Vocabulary
for
Unit 3
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
transversal
t
l
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
transversal:
a line that intersects
two coplanar lines at two
distinct points
t
Line t is the
transversal for
lines l and m.
l
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
alternate
interior angles
t
l
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
alternate interior angles:
nonadjacent interior angles
that lie on opposite sides of
the transversal
t
Alternate interior ’s:
3 & 5
l
4 & 6
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
same-side
interior angles
t
l
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
same-side interior angles:
interior angles that lie on the
same side of the transversal
Same-side interior ’s:
t
3 & 6
l
4 & 5
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
corresponding
angles
t
l
m
8 7
5 6
4 3
1 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
corresponding angles:
angles that lie on the same
side of the transversal and
are in corresponding positions
Corresponding ’s:
t
1 & 5
2 & 6
l
3 & 7
m
8 7
5 6
4 3
1 2
4 & 8
Chris Giovanello, LBUSD Math Curriculum Office, 2004
two-column
proof
Chris Giovanello, LBUSD Math Curriculum Office, 2004
two-column proof:
a convincing argument
that uses deductive
reasoning in which the
statements and reasons
are aligned in columns
Chris Giovanello, LBUSD Math Curriculum Office, 2004
flow proof
Chris Giovanello, LBUSD Math Curriculum Office, 2004
flow proof:
a convincing argument
that uses deductive
reasoning in which
arrows show the logical
connections between the
statements
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equiangular
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equiangular triangle:
a triangle that has three
congruent angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
acute triangle:
a triangle that has
three acute angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
right triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
right triangle:
a triangle that has one
right angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
obtuse triangle:
a triangle that has one
obtuse angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equilateral
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equilateral triangle:
a triangle that has
three congruent sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
isosceles
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
isosceles triangle:
a triangle that has at
least two sides
congruent
Chris Giovanello, LBUSD Math Curriculum Office, 2004
scalene triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
scalene triangle:
a triangle that has no
sides congruent
Chris Giovanello, LBUSD Math Curriculum Office, 2004
exterior angle
of a polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
exterior angle of a polygon:
an angle formed by a
side and an extension of
an adjacent side
Exterior
angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
remote interior
angles of a
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
remote interior angles of a triangle:
the two nonadjacent
interior angles
corresponding to each
exterior angle
Exterior
angle
Remote interior angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
polygon:
a closed plane figure with
at least three sides that
are segments
Yes!
No!
No!
Chris Giovanello, LBUSD Math Curriculum Office, 2004
convex polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
convex polygon:
a polygon that has no
diagonal with points
outside the polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
concave polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
concave polygon:
a polygon that has at least
one diagonal with points
outside the polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
quadrilateral
Chris Giovanello, LBUSD Math Curriculum Office, 2004
quadrilateral:
a polygon with four
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pentagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pentagon:
a polygon with five
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
hexagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
hexagon:
a polygon with six
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
heptagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
heptagon:
a polygon with seven
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
octagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
octagon:
a polygon with eight
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
nonagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
nonagon:
a polygon with nine
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
decagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
decagon:
a polygon with ten
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
dodecagon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
dodecagon:
a polygon with twelve
sides
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equilateral
polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equilateral polygon:
a polygon with all
sides congruent
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equiangular
polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
equiangular polygon:
a polygon with all
angles congruent
Chris Giovanello, LBUSD Math Curriculum Office, 2004
regular polygon
Chris Giovanello, LBUSD Math Curriculum Office, 2004
regular polygon:
a polygon that is both
equilateral and
equiangular
Chris Giovanello, LBUSD Math Curriculum Office, 2004
slope-intercept
form
Chris Giovanello, LBUSD Math Curriculum Office, 2004
slope-intercept form:
a linear equation in
the form of
y = mx + b
Chris Giovanello, LBUSD Math Curriculum Office, 2004
standard form
Chris Giovanello, LBUSD Math Curriculum Office, 2004
standard form:
a linear equation in
the form of
Ax + By = C
Chris Giovanello, LBUSD Math Curriculum Office, 2004
point-slope form
Chris Giovanello, LBUSD Math Curriculum Office, 2004
point-slope form:
a linear equation in
the form of
y - y1 = m(x - x1)
Chris Giovanello, LBUSD Math Curriculum Office, 2004
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