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WorksheetsUNIT 2: Reasoning and Proofs
Total questions: 18
Worksheet time: 15mins
Rewrite the statement as a conditional statement in if-then form.
STATEMENT: Fish have gills.
If it has gills, then it is a fish.
If it is a fish, then it has gills.
If it is a fish, then it lives in the water.
If an animal has gills, then it breathes underwater.
Write the converse of the statement below.
STATEMENT: If the coin is a dime, then it is worth ten cents.
If the coin is NOT a dime, then it is NOT worth ten cents.
If the coin is NOT worth ten cents, then it is NOT a dime.
If a coin is worth ten cents, then it is a dime.
True or False. Point R is the midpoint of segment JK
TRUE
FALSE
Test the statement. Make a conjecture.
The sum will always be a negative number
The sum will always be a positive number
The sum will always be an even number
The sum will always be an odd number
Is line AC perpendicular to line BD?
YES
NO
Name the intersection of Plane A and Plane B
line GD
line EF
Point D
line HI
What is the first step to solving the equation above?
Use Substitution Property
Use Addition Property
Use Division Property
Use Distribution Property
What does the Linear Pair Postulate say?
Angle 1 and Angle 2 are a linear pair
Angle 1 + Angle 2 = 90
Angle 1 + Angle 2 = 180
Angle 1 = Angle 2
What does the Vertical Angle Postulate say?
Angle 1 + Angle 3 = 180
Angle 1 + Angle 2 = 180
Angle 1 = Angle 4
Angle 2 = Angle 4
Determine the next 2 numbers in the pattern above.
5, 0
5, -1
6, 1
9, 8
Can a conjecture be made? What law is being used
YES, Law of Detachment
NO
YES, Law of Syllogism.
Name this property
Distribution Property
Transitive Property
Reflexive Property
Symmetric Property
What does the Segment Addition Property say?
B is the midpoint of AC
AB + BC = AC
AB = BC
If M is the midpoint of segment RT, what must be true
RS = SM
RS = ST
RS = 1/2*MT
RM = MT
My mother buys milk every time she goes to Safeway. She is at Safeway now. I predict she is going to buy milk.
What type of reasoning is this?
Deductive Reasoning
Inductive Reasoning
Provide a counterexample to prove the statement is false.
STATEMENT: All prime numbers are odd
2
3
17
20
Use the Law of Detachment, to determine if you can make the conclusion or not.
STATEMENT: If you exercise every day, you will lose weight.
Conclusion: You lost 3 pounds last week.
The conclusion is TRUE
It isn't possible to tell if the conclusion is based on the statement.
Skew lines will __________ intersect.
ALWAYS
SOMETIMES
NEVER
