1.	In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D?
		A.	AB = BD	B.	AB = CD
		C.	None of the statements are valid conjectures.	D.	AB + CD = 12
		Hint
	2.	Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture?
		A.	The salesperson likes carnations.	B.	More customers buy roses than carnations.
		C.	Jasmine will be excited to receive flowers for her birthday.	D.	Daniel will buy Jasmine irises.
		Hint
	3.	Determine the contrapositive of the following if-then statement. If three points are noncollinear, then they form a triangle.
		A.	If three points do not form a triangle, then they are noncollinear.
		B.	If three points do not form a triangle, then they are not noncollinear.
		C.	If three points form a triangle, then they are noncollinear.
		D.	If three points are not noncollinear, then they do not form a triangle.
		Hint
	4.	The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
		A.	reasonable doubt	B.	inductive reasoning
		C.	detachment reasoning	D.	deductive reasoning
		Hint
	5.	Which property of equality justifies the statement if x – 2 = 9, then x = 11?
		A.	Symmetric Property of Equality	B.	Transitive Property of Equality
		C.	Multiplication Property of Equality	D.	Addition Property of Equality
		Hint
	6.	Justify step 2 in solving
		A.	Multiplication Property (=)	B.	Division Property (=)
		C.	Subtraction Property (=)	D.	Distributive Property (=)
		Hint
	7.	Which of the following is not one of the five essential parts needed to construct a good proof?
		A.	Develop a system of inductive reasoning.
		B.	List the given information.
		C.	If possible, draw a diagram to illustrate the given information.
		D.	State the theorem to be proved.
		Hint
	8.	For the proof shown, provide the reason for part f.
		A.	Definition of Addition	B.	Definition of congruent segments
		C.	Symmetric Property of Equality	D.	Definition of a line
		Hint
	9.	All right angles are ____________.
		A.	congruent	B.	complementary
		C.	180°	D.	transitive
		Hint
	10.	If and form a linear pair and find
		A.	86	B.	106
		C.	96	D.	76
		Hint
	11.	What three things are accepted as true without verification or proof?
		A.	definitions, theorems, and postulates	B.	definitions, postulates, and undefined terms.
		C.	conclusions, hypotheses, and postulates	D.	theorems, postulates, and undefined terms
		Hint
	12.	''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment?
		A.	Both1 and 2 are obtuse.
		B.	1 and 2 both have a measure of 45.
		C.	1 and 2 are not congruent.
		D.	1 and 2 are congruent.
		Hint
	13.	What three properties hold true for congruence of segments?
		A.	reflexive, multiplication, and division
		B.	addition, subtraction, and multiplication
		C.	reflexive, symmetric, and substitution
		D.	reflexive, symmetric, and transitive
		Hint
	14.	Write a truth table for pq.
		A.		B.
		C.		D.
		Hint
	15.	Construct a truth table for pq.
		A.
		B.
		C.
		D.
		Hint
	16.	Which statement is the inverse of the statement angles with the same measure are congruent?
		A.	If two angles do not have the same measure, then they are not congruent.
		B.	If two angles are congruent, then they have the same measure.
		C.	If two angles have the same measure, then they are congruent.
		D.	If two angles are not congruent, then they do not have the same measure.
		Hint