
	1.	Determine if the following conjecture is true or false? Explain. Given: x² = 4 Conjecture: x = 4 or x = -4
		A.	False; the square root of 4 is 2 or -2.
		B.	False; the square root of a positive number is always a positive number.
		C.	True; squaring a positive number results in a positive number and squaring a negative number results in a positive number.
		D.	True; two answers are always more accurate than one answer.
		Hint

	2.	If-then statements are also called ______________.
		A.	reasons	B.	hypotheses
		C.	conditionals	D.	conclusions
		Hint

	3.	''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion.
		A.	The sum of 8 and 24 must be even.
		B.	If the numbers 8 and 24 are odd, then their sum is 32.
		C.	The sum of 8 and 24 must be odd.
		D.	If the numbers 8 and 24 are even, then their sum is 32.
		Hint

	4.	Complete the proof.


		A.	Substitution Property (=)	B.	Angle Addition Property
		C.	Transitive Property	D.	Addition Property (=)
		Hint

	5.	All right angles are ____________.
		A.	180°	B.	transitive
		C.	congruent	D.	complementary
		Hint

	6.	If and form a linear pair and find
		A.	96	B.	76
		C.	106	D.	86
		Hint

	7.	A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information?
		A.	The team played 19 games..	B.	The team finished 5th in their conference.
		C.	The team won their last 5 games.	D.	The team was undefeated.
		Hint

	8.	In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part.
		A.	hypothesis, converse	B.	inverse, negation
		C.	converse, inverse	D.	converse, negation
		Hint

	9.	Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square.
		A.	If WXYZ is not a square, then it does not have four right angles.
		B.	If WXYZ has four right angles, then it is a square.
		C.	If WXYZ is not a square, then it has four right angles.
		D.	WXYZ has four right angles.
		Hint

	10.	Name the property that justifies the statement. ''If 2x = 12, then x = 6''.
		A.	Multiplication Property (=)	B.	Division Property (=)
		C.	Symmetric Property	D.	Transitive Property (=)
		Hint

	11.	For the proof shown, provide statement 3.


		A.	CD = EF	B.	AB = CD
		C.	AB = BA	D.	AB = EF
		Hint

	12.	What three properties hold true for congruence of segments?
		A.	reflexive, symmetric, and transitive
		B.	addition, subtraction, and multiplication
		C.	reflexive, multiplication, and division
		D.	reflexive, symmetric, and substitution
		Hint

	13.	Write a truth table for pq.
		A.		B.
		C.		D.
		Hint

	14.	The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied Spanish or French?

		A.	25	B.	63
		C.	56	D.	55
		Hint

	15.	Which of the following statements is not a postulate?
		A.	Points that lie of the same plane are said to be coplanar.
		B.	Through any two points, there is exactly one line.
		C.	If two lines intersect, then their intersection is exactly one point.
		D.	A plane contains at least three points not on the same line.
		Hint

	16.	In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear?

		A.	Through any two points, there is exactly one line.
		B.	If two planes intersect, then their intersection is a line.
		C.	If two lines intersect, then their intersection is exactly one point.
		D.	Through any three points not on the same line, there is exactly one plane.
		Hint