Problem #1

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Geometry Poker 
Problem #1
If two angles form a linear pair of
angles, then the sum of their
measures is __________.
Problem #2
If two angles are vertical angles, then
they are ______________.
Problem #3
Find x.
Then, find the
measure of each
angle.
(3 + 20)°
(5 + 8)°
Problem #4
Complete the table, find the nth term in
the sequence, and then find the 100th
term.
Term 1
Value 11
2
16
3
21
4
5
…
n
Problem #5
What is the difference between
inductive and deductive reasoning?
Problem #6
If two congruent angles are
supplementary, then what must be true
of each angle?
Problem #7
Rewrite this biconditional as two
conditionals.
A fish is a bluegill if and only if it is a
bluish, freshwater sunfish.
Problem #8
1
=5
2
x = 10
Name the property shown above.
Problem #9
Write a 2 column proof:
Given: KM = 35
Prove: KL = 15
2 − 5
K
L
2
M
Problem #10
The measure of an angle is 52 more than
the measure of its complement. What is
the measure of the angle?
Answers
1.
180°
6.
They are both right angles.
2.
Congruent
7.
3.
x = 6; 38°, 142°, 38°, 142°
4.
26, 31; 5n + 6; 506
If a fish is a bluegill, then it is a
bluish, freshwater sunfish. If a fish
is a bluish, freshwater sunfish,
then it is a bluegill.
5.
Inductive: Reasoning from patterns
of examples
8.
Multiplication Property of Equality
(x2)
Deductive: Reasoning from given
9.
See next slide
facts
10.
71°
#9 Proof
Statements
Reasons
1.
KM = 35
1.
Given
2.
KL + LM = KM
2.
Segment Addition Postulate
3.
2x – 5 + 2x = 35
3.
Substitution
4.
4x – 5 = 35
4.
Combine Like Terms
5.
4x = 40
5.
Addition Property of Equality
6.
x = 10
6.
Division Property of Equality
7.
KL = 2(10) – 5
7.
Substitution
8.
KL = 15
8.
Simplify

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