Reasoning and Proof Geometry Review

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

• You will pass your test
• You do your homework
• If you do your homework you will pass your test
• You fail your test

What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.

• If an angle does not measure 56 degrees, then it is not an acute angle.
• If an angle is an acute angle, then it measures 56 degrees.
• If an angle is not an acute angle,then the angle does not measure 56 degrees.
• The angle measures 56 degrees.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• A dog is a Siberian Husky.
• I have a dog.

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

• 18,23
• 18, 24
• 17, 25
• 17, 24

What is the value of x?

• 90
• 45
• 180
• 51

What is the missing statement in the proof?

• m∠ABD+m∠DBC=m∠ABC
• m∠ABD=m∠DBC
• m∠ABC=m∠ABC
• none of the other choices are correct

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical