Unit 2 Test Review

What is the next number in the pattern? 3, 6, 12, 24,

• 96

• 48

• 36

• 27

Which represents a counterexample for the conjecture “No vehicles fly.”

• An airplane is not a vehicle

• A vehicle does not fly

• A helicopter is a vehicle and it flies

Determine which set of statements is inductive reasoning.

• Given: Everyone dressed casually on Friday Conjecture: All Fridays are casual days

• Given: 3a² = 48 Conjecture: a = 6

• Given: WXYZ is a rectangle. Conjecture: WX = YZ and WZ = XY

• Given: All donuts are unhealthy Conjecture: This chocolate donut is unhealthy.

Identify the conclusion: I cannot drive my car when I do not have gas.

• I do not have a car

• I do not have gas

• Cannot drive my car

• Cannot get gas

What is the converse of the conditional statement “If the streetlights are on, then the sun has gone down.”?

• If the sun has gone down, then the street lights are on.

• If the streetlights are not on, then the sun has gone down.

• If the streetlights are not on, then the sun has not gone down.

• If the sun has not gone down, then the streetlights are on.

What is the contrapositive of the conditional statement “If the shirt is blue, then I will wear it.”?

• If I wear the shirt, then is blue.

• If I do not wear the shirt, then it is not blue.

• If the shirt is not blue, then I will not wear it.

• If the shirt is blue, then I will not wear it.

How does “If the measure of an angle is not 180, then it is not a straight angle” relate to the conditional statement “If an angle is a straight angle, then its measure is 180”?

• Counterexample

• Converse

• Inverse

• Contrapositive

For a biconditional to be true, ___

• The hypothesis must be true.

• The hypothesis and conclusion must be true.

• The conditional and converse must be true.

• The contrapositive and converse must be true.

If a polygon is a quadrilateral, then it has four sides. This can be written as a biconditional. What is the biconditional?

• A polygon is a quadrilateral if and only if it has four sides.

• A polygon has four sides if and only if it is a quadrilateral.

• If a polygon has four sides, then it is a quadrilateral.

• This cannot be written as a biconditional.

If you travel from the United States to Spain, then you must have a passport. Can this be written as a biconditional? If so, what is the biconditional.

• If you have a passport, then you travel from the United States to Spain.

• You travel from the United States to Spain if and only if you have a passport.

• You have a passport if and only if you travel from the United States to Spain.

• This cannot be written as a biconditional.