Download JMAP Worksheets by Topic LOGIC: Converse and - mvb-math

Regents Exam Questions
Name: _________________________________________________________ Class:________
Date:________
Section 1
Are the following true/false or open sentences
1) The sum of the 2 angles are 180 degrees
2) If two angles are right angles, the angles have equal measure.
3) The sum of the 3 angles in a triangle is 180 degrees.
4) A pentagon has 4 sides.
5) X+5=15
6) 3x-10 =20 when x =10
7) II) Write 3 of your own sentences that are true or false.
8) III) Write 3 of your own math sentences whose truth cannot be determined. Then
identify the variable that will make the sentence true.
Write the negation of the following statements:
9) If the sum of two angles is 180°, then the angles are supplementary.
10) If x is an even integer, then ( x  1) is an odd integer.
11) If Alicia goes to Albany, then Ben goes to Buffalo.
12) If the Sun rises in the east, then it sets in the west.
13) If it is not raining the game will start.
Section 2
Alicia is going to SUNY Albany. Ben is going to SUNY Buffalo?
1) Write a conjunction for the statements above
2) Set- up a truth table using P and Q.
3) Under what conditions will the statement be true.
4) Under what conditions will the statement be false.
5) Write a disjunction for the same two statements
6) Set- up a truth table using P and Q.
7) Under what conditions will the statement be true.
8) Under what conditions will the statement be false.
The model is a 300 ZX. It is a car
9) Do the same steps 1-8 for the statement above.
Section 3
Write the following as if. then statements (conditionals)
1) The sum of two angles is 180°.The angles are supplementary.
2) The two angles are right angles. The angles have equal measure
3) Two lines are cut by a transversal so that the corresponding angles are congruent.
The lines are parallel.
Identify the Hypothesis and Conclusion for each statement
1) If two angles are not supplementary, then their sum is not 180°.
2) If the Sun rises in the west, then it sets in the east.
3) If an angle does not measure 90°, then it is not a right angle.
4) I will go swimming if and only if it is sunny.
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Regents Exam Questions
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Name: _________________________________________________________ Class:________
Date:________
Section 4
Write the converse for the following statements.
1) If the sum of two angles is 180°, then the angles are supplementary?
2) If Ben does not go to Buffalo, then Alicia does not go to Albany.
3) If two lines are cut by a transversal so that the corresponding angles are
congruent, then the lines are parallel.
4) If x is an even integer, then ( x  1) is an odd integer?
5) Write the inverse of each of the statements above
6) Write the contra positive of each of the statements above
Section 5
1) Given the statement: “If two lines are cut by a transversal so that the
corresponding angles are congruent, then the lines are parallel.” What is true
about the statement and its converse?
(1) The statement and its converse are both true.
(2) The statement and its converse are both false.
(3) The statement is true, but its converse is false.
(4) The statement is false, but its converse is true.
2) Given the statement: “If two sides of a triangle are congruent, then the angles
opposite these sides are congruent.”
Given the converse of the statement: “If two angles of a triangle are congruent,
then the sides opposite these angles are congruent.”
What is true about this statement and its converse?
(1) Both the statement and its converse are true.
(2) Neither the statement nor its converse is true.
(3) The statement is true but its converse is false.
(4) The statement is false but its converse is true.
3) Given the statement: "A right angle measures 90°." How is this statement written
as a biconditional?
(A) If an angle is a right angle, then it measures 90°.
(B) An angle is a right angle if, and only if, it measures 90°.
(C) An angle measures 90° and it is a right angle.
(D) If an angle does not measure 90°, then it is not a right angle.
4) Which statement is expressed as a biconditional?
(A) Two angles are congruent if they have the same measure.
(B) If two angles are both right angles, then they are congruent.
(C) Two angles are congruent if and only if they have the same measure.
(D) If two angles are congruent, then they are both right angles.
Regents Exam Questions
Name: _________________________________________________________ Class:________
Date:________
(1) If two angles are supplementary, then their sum is 180°.
(2) If the sum of two angles is not 180°, then the angles are not supplementary.
(3) If two angles are not supplementary, then their sum is not 180°.
(4) If the sum of two angles is not 180°, then the angles are supplementary.
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What is the converse of the statement "If x is an even integer, then ( x  1) is an
odd integer"?
(1) x is not an even integer if and only if ( x  1) is not an odd integer.
(2) x is an even integer if and only if ( x  1) is an odd integer.
(3) If ( x  1) is not an odd integer, then x is not an even integer.
(4) If ( x  1) is an odd integer, then x is an even integer.
What is the converse of the statement "If Alicia goes to Albany, then Ben goes
to Buffalo"?
(1) If Alicia does not go to Albany, then Ben does not go to Buffalo.
(2) Alicia goes to Albany if and only if Ben goes to Buffalo.
(3) If Ben goes to Buffalo, then Alicia goes to Albany.
(4) If Ben does not go to Buffalo, then Alicia does not go to Albany.
What is the converse of the statement "If the Sun rises in the east, then it sets in
the west"?
(1) If the Sun does not set in the west, then it does not rise in the east.
(2) If the Sun does not rise in the east, then it does not set in the west.
(3) If the Sun sets in the west, then it rises in the east.
(4) If the Sun rises in the west, then it sets in the east.
What is true about the statement “If two angles are right angles, the angles have
equal measure” and its converse “If two angles have equal measure then the
two angles are right angles”?
(1) The statement is true but its converse is false.
(2) The statement is false but its converse is true.
(3) Both the statement and its converse are false.
(4) Both the statement and its converse are true.
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Regents Exam Questions
Name: _________________________________________________________ Class:________
Date:________
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Which statement is expressed as a biconditional?
(1) Two angles are congruent if they have the same measure.
(2) If two angles are both right angles, then they are congruent.
(3) Two angles are congruent if and only if they have the same measure.
(4) If two angles are congruent, then they are both right angles.
What is the converse of the statement “If it is sunny, I will go swimming”?
(1) If it is not sunny, I will not go swimming.
(2) If I do not go swimming, then it is not sunny.
(3) If I go swimming, it is sunny.
(4) I will go swimming if and only if it is sunny.
Which statement is the converse of “If it is a 300 ZX, then it is a car”?
(1) If it is not a 300 ZX, then it is not a car.
(2) If it is not a car, then it is not a 300 ZX.
(3) If it is a car, then it is a 300 ZX.
(4) If it is a car, then it is not a 300 ZX.
What is the converse of the statement "If it is Sunday, then I do not go to school"?
(1) If I do not go to school, then it is Sunday.
(2) If it is not Sunday, then I do not go to school.
(3) If I go to school, then it is not Sunday.
(4) If it is not Sunday, then I go to school.
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