Pondering Postulates
If there is a line and a given point then there is exactly one line that goes through that point parallel to the given line.
What is the Parallel Postulate
If two angles are supplementary with the same angle then they are congruent.
What is congruent supplements Theorem
A pair of sides or angles that have the same relative position in two congruent figures
What is Corresponding Parts
Two or more angles can be put together to make a larger angle.
What is the angle addition postulate
What is an equilateral triangle
Two or more segments can be put together to make a larger segment.
What is the segment addition Postulate
If two angles and the included side are congruent to two angles and the included side of another triangle, then the triangles are congruent.
What is the Angle-Side-Angle Congruence Theorem
A transformation that moves every point of a figure the same distance in the same direction
What is a translation
An angle that has a measure between 90 and 180 degrees
What is an obtuse angle
The two congruent angles of an isosceles triangle
What is base angles
If two planes intersect then their intersection is a line.
What is the Plane Intersection Postulate
If two parallel lines are cut through by a transversal then the pairs of alternate interior angles are congruent.
What is the alternate interior angles theorem
Geometric figures that have the same shape but not necessarily the same size
What is similar figures
These two angles created by intersecting lines and are not adjacent are always congruent.
What is vertical angles.
Two sides and the included angle are congruent to two sides and the included angles of another triangle.
What is Side-Angle-Side Congruence Theorem
Two adjacent angles that the non shared rays are opposing rays.
What is the Linear Pair Postulate
If two lines are cut by a transverse and their consecutive interior angles are supplementary, then the two lines are parallel.
What is the consecutive angles converse
A ray that divides an angle into two angles that are congruent
What is an angle Bisector
If using the origin as a center of rotation a 90 degree rotation will do what to your point.
What will rotate your point 1 quadrant.
If two angles are congruent to two angles of another triangle then the third angles are congruent.
What is the third angle congruence theorem
If there is a line and a point given then there is exactly one line that goes through that point perpendicular to the given line.
What is the Perpendicular Postulate
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
What is the hypotenuse-leg theorem.
A figure that can be mapped onto itself by reflecting onto itself.
What is line symmetry
An angle that forms a linear pair with any interior angle of a triangle is equal to the two non-adjacent angles.
What is the exterior angles theorem
A combination of 3 sides or angles or sides that does not prove congruency in triangles like its counterparts.
What is the Side-Side-Angle