
1.	A _____ is a compound statement formed by joining two statements with the word and.
	A.	conditional	B.	conjunction
	C.	disjunction	D.	negation
	Hint

2.	Any sentence that is either true or false, but not both is a___________.
	A.	truth value	B.	converse
	C.	negation	D.	statement
	Hint

3.	Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. (2) If the sum of the measures of two angles is 180, then the angles are supplementary.
	A.	If two adjacent angles form a linear pair, then the angles are supplementary.	B.	If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180.
	C.	If two angles are supplementary, then the sum of the measures of the angles is 180.	D.	If the sum of the measures of two angles is 180, then the angles form a linear pair.
	Hint

4.	If it is raining, then Sue and Ian will not go to the football game is a true conditional, and it is raining. Use the Law of Detachment to reach a logical conclusion.
	A.	Sue and Ian will go to the football game.	B.	Ian will go to the football game if Sue goes.
	C.	The football game will not be played in the rain.	D.	Sue and Ian will not go to the football game.
	Hint

5.	If and , show that .

	A.	You know that and . because and are congruent alternate interior angles. So, by SAS.
	B.	You know that and . and are congruent because they are vertical angles. Thus, by ASA.
	C.	You know that and . because they are alternate interior angles, and because they are vertical angles. So, by AAA.
	D.	You know that and . Point C is the midpoint of since . That means that C is also the midpoint of . So by definition of midpoint. Therefore, by SSA.
	Hint

6.	Write a paragraph proof to prove .

	A.	There is not enough information provided, so it is not possible to prove .
	B.	Quadrilateral PQRS is a parallelogram because both pairs of opposite sides are parallel. Since quadrilateral is a parallelogram, by definition.
	C.	Quadrilateral PQRS is a parallelogram because both pairs of opposite sides are parallel. and because they are alternate interior angles. Also, because they are opposite angles of a parallelogram. Thus, by AAA.
	D.	Quadrilateral PQRS is a parallelogram because both pairs of opposite sides are parallel. Opposite sides of a parallelogram are congruent, so and . Also, opposite angles of parallelograms are congruent so . Therefore, by SAS.
	Hint

7.	What is the first statement written in a two-column proof of the following? Given: Prove:

	A.
	B.
	C.
	D.
	Hint

8.	Using the figure QRST, what are the possible reasons for ?

	A.	All of these	B.	ASA
	C.	SSS	D.	SAS
	Hint

9.	Based upon steps 1-5, what is the best conclusion you can make for step 6? . Given: ABCD is a rectangle with diagonals and Prove:


	A.	; SAS
	B.	and are right triangles; Definition of a right triangle
	C.	; AAS
	D.	and are right triangles; Definition of a right triangle
	Hint

10.	If the seventh and final statement of the proof is , what reason can you give for making that statement? Given: ABCD is a rectangle with diagonals and Prove:

	A.	SSS
	B.	CPCTC
	C.	Definition of diagonals of parallelograms
	D.	Hypotenuses of right triangles are congruent
	Hint

11.	Which formula would you use to show that opposite sides of a quadrilateral are parallel using a coordinate proof?
	A.	Slope Formula	B.	Distance Formula
	C.	Midpoint Formula	D.	Pythagorean Theorem
	Hint

12.	To prove that the diagonals of a rhombus are perpendicular bisectors of each other use _____.
	A.	both Slope and Midpoint Formula	B.	either Slope or Midpoint Formula
	C.	Slope Formula	D.	Midpoint Formula
	Hint