1.  
    A.
    B.
    C.
    D.
    Hint
  2.  
    A. February does not have 28 days or a triangle has three sides. B. A triangle does not have three sides and February has 28 days.
    C. February does not have 28 days and a triangle has three sides. D. A triangle does not have three sides or February has 28 days.
    Hint
  3.   Which statement follows from statements (1) and (2) by the Law of Detachment?

(1) If a triangle is an obtuse triangle, then the measure of one of the angles is greater than 90 but less than 180.
(2) is an obtuse triangle.

   
    A. B.
    C. no valid conclusion D.
    Hint
  4.   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 angles are supplementary, then the sum of the measures of the angles is 180.
    C. If two adjacent angles form a linear pair, 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
  5.   Which statement can be used to show that if is a median of ?
   
    A. The median of an isosceles triangle bisects the vertex angle. So, the segments opposite the angles are congruent.
    B. and . Therefore, because corresponding parts of congruent angles are congruent.
    C. because and are reflections of each other.
    D. The median of an isosceles triangle is a perpendicular bisector of the base. So, by definition of bisector, .
    Hint
  6.   Complete the paragraph proof. If , and , then .
   
    A. 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.
    B. 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.
    C. by SAS. So, because they are corresponding parts of congruent triangles. by the reflexive property. So, because the sides of both angles are congruent.
    D. 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.
    Hint
  7.   Justify step 3 in the following proof.
Given:

Prove:
   
   
    A. Transitive Property B. Substitution Property
    C. Angle Addition Postulate D. Replacement Property
    Hint
  8.   What is the reason for the conclusion of the proof below?
Given:

Prove:
   
   
    A. CPCTC B. Definition of midpoint
    C. D. SSS
    Hint
  9.   Write a statement and reason for step 3.

Given: ABCD is a rectangle with diagonals
and
Prove:

   
   
    A. ; Opposite sides of a parallelogram are congruent
    B. is a right angle; Definition of a rectangle
    C. ; Opposite sides of a parallelogram are parallel
    D. is a right triangle; Definition of right triangle
    Hint
  10.   Complete step 4 of the proof.

Given: ABCD is a rectangle with diagonals
and
Prove:

   
   
    A. ; Opposite sides of a parallelogram are parallel
    B. and are right angles; Definition of a rectangle
    C. ; Definition of midpoint
    D. and are complimentary angles; Definition of complimentary angles
    Hint
  11.   Which formula would you use to show that opposite sides of a quadrilateral are parallel using a coordinate proof?
    A. Pythagorean Theorem B. Slope Formula
    C. Midpoint Formula D. Distance Formula
    Hint
  12.   To prove that the diagonals of a rhombus are perpendicular bisectors of each other use _____.
    A. Midpoint Formula B. Slope Formula
    C. either Slope or Midpoint Formula D. both Slope and Midpoint Formula
    Hint

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