Coplanar lines that intersect and form right angles
What are perpendicular lines?
100
A ray that bisects an angle into two congruent angles
What is an angle bisector?
100
an if-then statement
What is a conditional?
100
the part following the if
What is the hypothesis?
100
the part following the then
What is the conclusion?
200
Whether or not a conditional is true or false
What is the truth value?
200
Where the conclusion and the hypothesis are switched
What is the converse?
200
A statement formed when a conditional and converse are true using "if and only if"
What is a biconditional?
200
reasoning logically from given statements to a conclusion also known as logical reasoning
What is deductive reasoning?
200
If a conditional is true and it's hypothesis is true, then its conclusion is true.
What is the law of detachment?
300
if two conditionals are true, and the hypothesis of one conditional matches the conclusion of the other conditional then a new conditional can be written.
What is the law of syllogism?
300
angles whose sides form opposite rays
What are vertical angles?
300
two coplanar angles with a common side, a common vertex, and no common interior points.
What are adjacent angles?
300
two angles whose measures have a sum of 90
What are complementary angles?
300
two angles whose measures have a sum of 180
What are supplementary angles?
400
a statement that must be proved true
What is a theorem?
400
a proof written in paragraph form
What is a paragraph proof?
400
a line that intersects two or more coplanar lines at two distinct points
What is a transversal?
400
angles that lie within coplanar lines but on alternate sides of the transversal
What are alternate interior angles?
400
angles that lie within the coplanar lines but on the same side of the transversal
What are same-side interior angles?
500
angles that lie in the same position with regards to the coplanar lines and the transversal
What are corresponding angles?
500
a proof that uses a t-chart format to organize deductive reasoning
What is a two-column proof?
500
a proof that uses arrows to show the logical connection between statements in deductive reasoning
What is a flow proof?
500
a triangle with all sides congruent
What is equilateral?
500
A triangle where all sides and angles are congruent