By Breck
Radulovic
50:50
Welcome to
Who Wants to
be a Millionaire
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Which postulate is the following?
If there is a line, then there is a
point through the line, then there
is exactly one line through the
point parallel to the given point.
50:50
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
A: Perpendicular
B: Parallel
C: Skew Postulate
D: Plane Postulate
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
This is an example
of which postulate?
50:50
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A: Postulate 14
B: Perpendicular
C: Postulate 13
D: Both A and B
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Theorem 3.3
states…
50:50
A: If two lines intersect to form a
linear pair, then the lines are
perpendicular
C: If two sides of two adjacent acute
angles are perpendicular, then the
angles are complementary
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
B: If two lines are perpendicular,
then they intersect to form four right
angles
D: None of These
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Name the three
types of proofs
50:50
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
A: Flow, Two-Column,
Paragraph
B: Chart, Paragraph,
Flow
C: Two-Column,
Chart, Paragraph
D: Flow, Chart, TwoColumn
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Name the four
theorems pertaining
to Parallel lines and
Transversals
50:50
A: Alternate Interior Angles, Consecutive
Interior Angles, Alternate exterior
Angles, Parallel Transversals
C: Alternate Interior Angles, Consecutive
Interior Angles, Corresponding Angles,
Parallel Transversals
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
B: Alternate Interior Angles,
Opposite Angles, Corresponding
Angles, Parallel Transversals
D: Alternate Interior Angles,
Consecutive Interior Angles, Alternate
exterior Angles, Perpendicular
Transversals
© Mark E. Damon - All Rights Reserved
the $1,000
Milestone!
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Corresponding
Angles Postulate
50:50
A: If the pairs of corresponding angles
are congruent, the lines are parallel
C: Corresponding Angles are
congruent if the lines are not
parallel
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
B: If two parallel lines are cut by a
transversal, then the pairs of
corresponding angles are congruent
D: There is no
such theorem!
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
To prove lines are
parallel you must…
50:50
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
A: Examine the slope
B: Use the converse
of theorems 3.5-3.7
C: If they are both
vertical or horizontal
D: All of these
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Are these lines
parallel? Why?
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50:50
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
A: No, Theorem 3.10
isn’t followed
B: Yes, Theorem
3.10 is followed
C: Yes, Postulate 16
D: No, Postulate 16
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Which is theorem
3.11?
50:50
A: Three parallel lines
Theorem
C: Perpendicular
Lines Theorem
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B: Two Parallel
Lines Theorem
D: Converse of
Theorem 3.9
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
In a plane, if two lines
are perpendicular to
the same line, then
they are parallel to
each other
50:50
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A: Theorem 3.12
B: Theorem 3.10
C: Postulate 17
D: Postulate 16
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
the $32,000
Milestone!
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Which lines are
Parallel?
50:50
A: y= -2x + 7
y= .5 x + 6
C: 3x+1
3x - 1
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
B: Two Horizontal
Lines
D: B and C
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Which postulate
proves parallel
lines?
50:50
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A: Postulate 16
B: Postulate 17
C: Theorem 3.13
D: Theorem 3.14
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Are y=.33x+2
and y=3x+7
perpendicular?
50:50
A: No
C: Yes, postulate 18
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
B: No, but they are
parallel
D: You need a graph to tell
if lines are perpendicular
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
If two lines are
perpendicular…
50:50
A: The product of their
slopes will be 1
C: If they are on different
planes, but their planes
intersect
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
B: If they intersect
at a point
D: Their product will
be -1
© Mark E. Damon - All Rights Reserved
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$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
Find the measure of all angles
if x = 127 and y = 115
50:50
A: Haha. No Multiple
Choice for you!
C: GUESS!
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B: Wrong.
D: The Right
Answer
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
m<1=62
m<2=53
m<3=65
m<4=127
m<5=115
m<6=53
m<7=65
© Mark E. Damon - All Rights Reserved
YOU WIN $1
MILLION DOLLARS!
(not really)