This is the part of the conditional statement that follows the word "if."
What is the hypothesis?
100
This is the reason you would use to explain why two angles which are across from each other and formed by two intersecting lines are congruent.
What is the Vertical Angles Theorem?
100
This is the way this statement would be written as an "if...then" conditional statement.
What is "If someone is a girl, then she is strong."
100
This is the reason you would use to justify this statement:
If a=b and b=c, then a=c.
What is the Transitive Property of Equality?
100
This is a line, ray, or segment which divides an angle into two congruent angles.
What is an angle bisector?
200
This is the part of the conditional statement which follows the word "then."
What is the conclusion?
200
This is the reason you would use to justify why two congruent angles have the same measure.
What is the definition of congruent angles?
200
This is the inverse of the conditional statement, "If someone is a girl, then that person is strong."
What is "If someone is not a girl, then that person is not strong."?
200
This is always the last statement in a proof.
What is the statement that follows the word Prove?
200
This is the reason that you are able to go from:
m<1+m<2=m<5+m<7
m<2=m<5
to:
m<1=m<7.
What is the Subtraction Property of Equality?
300
This the a statement which reverses the hypothesis and conclusion of a conditional statement.
What is the converse?
300
This is the reason you would use to justify that two angles are supplementary, when stating something like "m<1+m<2=180."
What is the definition of supplementary angles?
300
This is the contrapositive of the conditional statement, "If someone is a girl, then that person is strong."
What is "If a person is not strong, then that person is not a girl."?
300
This is the reason you are able to go from:
m<1 + m<2 = 180
m<1 = m<5
to:
m<5 + m<2 = 180.
What is the Substitution Property of Equality?
300
This is the truth value of the inverse of the conditional statement that follows:
Firecrackers are illegal.
What is False?
400
This is a statement which reverses the hypothesis and conclusion and negates them both.
What is what is the contrapositive?
400
This is the reason you would use to justify something like, "m<1+m<2=180," when two angles are on a straight line and share a side.
What is the Linear Pairs Theorem?
400
This is the truth value of the converse of the statement, "If someone is a girl, then that person is strong."
What is False?
400
This is the reason you are able to go from:
M is the midpoint of segment RC.
to:
RM = MC
What is the definition of a midpoint?
400
This is the hypothesis of the conditional statement that follows:
I'm going to Italy if you pay for it.
What is "you pay for it."?
500
This statements negates both the hypothesis and conclusion of a conditional statement.
What is the inverse?
500
This is the reason you would use to justify the information that you are given at the beginning of a proof.
What is Given?
500
This is the biconditional of the statement.
What is "Someone is a girl if and only if that person is strong."?
500
This is the reason you are able to state that the measure of an angle formed by two adjacent angles is equal to the sum of the measures of the two individual angles.
What is the Angle Addition Postulate?
500
This would be the way to write a biconditional statement of the definition of congruent angles.
What is "Two angles are congruent if and only if they have the same measures."?