Proving lines parallel
two lines that are on the same plane and will never touch
parallel lines
Alternate interior angles
two interior angles on opposite sides of the transversal
conclusion
the part of the conditional that comes after then
If all three sides are equalivent to the corresponding three sides of the second triangle.
SSS
colinear
three or more points that lie on the same line
perpendicular
two lines that are coplanar and intersect at a 90 degree angle
alternate exterior angles
two exterior angle on opposite sides of the transversal
contrapositive
If any two sides and the angle included between the sides of one triangle are equalivent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by the ____ rule.
SAS
Straight, extends both directions without end (indefinitely).
Line
is a line that cuts through the to parallel lines that creates angles.
transversal
two exterior angles on the same side of the transversal that are supplementary
same side exterior angles
of a conditional is when both the hypothesis and conclusion are neglected
inverse
If any two angles and the side included between the angles of one triangle are equalivent to the corresponding two angles and side included between the angles of the second triangles are congruent by ____ rule.
ASA
Plane
A flat two dimensional surface that extends infinitely far
they lie on the same side of the transversal line such that: one angle is an interior angle, and another exterior angle.
corresponding angles
two interior angles that are on the same side of the transversal
same side interior angles
negation
another statement has the opposite truth value of a statement
When two angles and a non-included side of a triangle are equal to the corresponding angles and side of another triangle, then the triangles are said to be congruent.
AAS
to assume or claim as true, existent, or necessary.
Postulate.
Flow proof
uses a diagram to show each statement leading to the conclusion
two angles added together equaling 90 degrees
Complementary
biconditional
a statement that can be written as "P if and only if Q" or "If p then Q"
The right angle with another leg corresponding to the second triangles right angle and another leg.
HL
a precise location or place on a plane.
Point