UNIT 1
define collinear
define truth value
define parallel lines
parallel lines are coplanar infinite straight lines that do not intersect at any point
define acute triangle
An acute triangle is a triangle with three acute angles
define perpendicular bisector
a line segment which bisects another line segment at 90 degrees
define coplanar
in the same plane.
define compound statement
group of two or more statements connected using words such as 'or', 'and', 'if then', 'if and only if'
a transversal is a line that passes through two lines in the same plane at two distinct points
define equiangular triangle
an equiangular polygon is a polygon whose vertex angles are equal.
define concurrent lines
ines in a plane or higher-dimensional space are concurrent if they intersect at a single point
define congruent
define conjunction
a statement formed by adding two statements with the connector AND..the conjunction will be expressed symbolically as p ∧ q.
define consecutive interior angles
a pair of angles formed when a line, known as the transversal line, crosses two lines.
define equilateral triangle
a triangle in which all three sides have the same length
define point of concurrency
a point where three or more lines or rays intersect with each other
define midpoint
a point somewhere in the middle.
define disjuction
a statement involving an or....it is written in mathematical notation as p ∨ q
define alternate exterior angles
the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.
define isosceles triangle
a triangle that has two sides of equal length
define circumcenter
the point where the perpendicular bisectors of the sides of that particular triangle intersect
define segment bisector
the division of something into two equal or congruent parts
define negation
the negation of a statement is the opposite of the given mathematical statement...then the negation of statement P is represented by ~P
define alternate interior angles
angles formed when a transversal intersects two coplanar lines
define scalene triangle
a triangle in which all three sides are in different lengths, and all three angles are of different measures
define incenter
the single point in which the three bisectors of the interior angles of a triangle intersect and which is the center of the inscribed circle.