Vocabulary Geometry Flashcards
The sum of all 3 triangle is 180 degrees
Triangle Sum Theorem
If two sides of a triangle are congruent, then the angels opposite those sides are congruent
Isosceles Triangle Theorem
If two angels of a triangle are congruent, then the sides opposite those sides are congruent
Converse of the Isosceles Triangle Theorem
A triangle with no congruent sides
Scalene Triangle
A triangle with 3 congruent sides
Equilateral triangle
A triangle with 3 congruent angles
Equiangular Triangle
The measures of each exterior angle of a triangle equals the sum of its two remote interior angles
Exterior Angle Theorem
If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base
Angle Bisector of an Isosceles Triangle Theorem
If two angles form a linear pair, then they are supplementary.
Linear Pair Postulate
Vertical angles are congruent
Vertical Angle Theorem
Two lines that intersect to form right angles
Perpendicular Lines
If two lines cut by a transversal are parallel, then the alternate interior angles are congruent
Alternate Interior Angle Theorem
If two line are cut by a transversal and the alternate interior angles are congruent, then the lines must be parallel.
Converse of the Alternate Interior Angle Theorem
for any angle, the measure of the whole is equal to the sum of the measures of its non-overlapping parts
Angle Addition Postulate
The point of concurrency located 2/3 the distance from the vertex
centroid