31.Identify the Hypothesis of the statement below.
If you are riding on a train, then it will stop at every station on the line.
A.You are riding on a train
B.It will stop at every station on the line
C.You are not riding on a train
D.It will not stop at every station on the line.
32.Identify the conclusion of the statement below.
If a football player scores a touchdown, then the player’s team earns 6 points.
A.A football player scores a touchdown
B.The players team earns 6 points
C.A football player does not score a touchdown
D.The players team does not earn 6 points
Use the statement below to answer questions 33-35
If a triangle has three congruent sides, then it has three congruent angles.
33.What is the converse of the statement above?
A.If a triangle does not have three congruent sides, then it does not have three congruent angles.
B.If a triangle has three congruent angles, then it has three congruent sides.
C.If a triangle does not have three congruent angles, then it does not have three congruent sides.
D.If a triangle has three congruent sides, then it has three congruent angles.
34.What is the inverse of the statement above?
A.If a triangle does not have three congruent sides, then it does not have three congruent angles.
B.If a triangle has three congruent angles, then it has three congruent sides.
C.If a triangle does not have three congruent angles, then it does not have three congruent sides.
D.If a triangle has three congruent sides, then it has three congruent angles.
35.What is the contrapositive of the statement above?
A.If a triangle does not have three congruent sides, then it does not have three congruent angles.
B.If a triangle has three congruent angles, then it has three congruent sides.
C.If a triangle does not have three congruent angles, then it does not have three congruent sides.
D.If a triangle has three congruent sides, then it has three congruent angles.
For the statement below write the converse of the statement and determine if the converse is true or false.
36.If a shape is a rectangle then it is a parallelogram.
A.If a shape is not a rectangle, then it is not a parallelogram TRUE
B.If a shape is not a rectangle, then it is not a parallelogram, FALSE
C.If a shape is a parallelogram, then it is a rectangle, TRUE
D.If a shape is a parallelogram then it is a rectangle, FALSE
For the statement below write the contrapositive and determine if the contrapositive is true or false.
37.If a shape is a rectangle then it has 4 right angles.
A.If a shape is not a rectangle, then it does not have 4 right angles. TRUE
B.If a shape is not a rectangle, then it does not have 4 right angles, FALSE
C.If a shape does not have 4 right angles, then it is not a rectangle, TRUE
D.If a shape does not have 4 right angles, then it is not a rectangle, FALSE
Determine if each statement below is valid. If it is valid did you verify it using the Law of Syllogism or the Law of Detachment.
38.If the measure of two angles have a sum of 180 degrees then the angles are supplementary. M<A+m<B= 180 degrees. <A and <B are supplementary.
A.Valid, Law of Syllogism
B.Valid, Law of Detachment
C.Valid, but it doesn’t use either law
D.Invalid
39.If a triangle has two congruent sides, then the triangle is an isosceles triangle. In triangle NYU NY=UN. Therefore Triangle NYU is an Isosceles triangle.
A.Valid, Law of Syllogism
B.Valid, Law of Detachment
C.Valid, but it doesn’t use either law
D.Invalid
40.If you live in Providence, then you live in Rhode Island. If you live in Rhode Island, then you live in the smallest state in the USA. Karen lives in Providence. Therefore Karen lives in the smallest state in the USA.
A.Valid, Law of Syllogism
B.Valid, Law of Detachment
C.Valid, but it doesn’t use either law
D.Invalid