
	1.	Suppose p represents ''Abraham Lincoln was the sixteenth President.'' Which statement is the negation of P?
		A.	The sixteenth President was Abraham Lincoln.	B.	Abraham Lincoln was not the sixteenth President.
		C.	Abraham Lincoln was the fourteenth President.	D.	Abraham Lincoln was not a President.
		Hint

	2.
		A.
		B.
		C.
		D.
		Hint

	3.	The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called
		A.	conjecturing	B.	detachment reasoning
		C.	deductive reasoning	D.	inductive reasoning
		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 not go to the football game.	B.	Sue and Ian will go to the football game.
		C.	Ian will go to the football game if Sue goes.	D.	The football game will not be played in the rain.
		Hint

	5.	Complete the paragraph proof. If , and , then .

		A.	by SAS. So, because they are corresponding parts of congruent triangles. is an isosceles triangle because it has two congruent sides. So, because the base angles of an isosceles triangle are congruent.
		B.	by SAS. So, because they are corresponding parts of congruent triangles. by the reflexive property. So, because the sides of both angles are congruent.
		C.	by SAS. So, because they are corresponding parts of congruent triangles. By angle addition, or . In , or . So by substitution, . So, by the property of equality.
		D.	by SAS. So, because they are corresponding parts of congruent triangles. Because and , you know that is a median of , and that is a median of . Thus, by SAS. So, because they are corresponding parts of congruent triangles.
		Hint

	6.	Write a paragraph proof to prove .

		A.	Quadrilateral PQRS is a parallelogram because both pairs of opposite sides are parallel. Since quadrilateral is a parallelogram, by definition.
		B.	There is not enough information provided, so it is not possible to prove .
		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.	What is the reason for the conclusion of the proof below? Given: Prove:


		A.		B.	SSS
		C.	Definition of midpoint	D.	CPCTC
		Hint

	9.	Complete step 4 of the proof. Given: ABCD is a rectangle with diagonals and Prove:


		A.	and are complimentary angles; Definition of complimentary angles
		B.	; Opposite sides of a parallelogram are parallel
		C.	and are right angles; Definition of a rectangle
		D.	; Definition of midpoint
		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.	Hypotenuses of right triangles are congruent
		B.	CPCTC
		C.	Definition of diagonals of parallelograms
		D.	SSS
		Hint

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

	12.	Use the diagram below to write equations to prove that opposite sides of a parallelogram are congruent.

		A.	and
		B.	and
		C.
		D.	and
		Hint