Postulates and Theorems
When all 3 pairs of corresponding sides are congruent.
What is SSS
Quadrilateral ABCD has a diagonal drawn from A to C, forming triangle ABC and triangle CDA. AB = CD, and AD = CB.
What is SSS?
Triangle ABC has a midpoint, M, on segment AC.
What is "AM is congruent to CM"?
A point which divides a segment into two congruent segments.
What is the midpoint?
Two angles whose sum is 90 degrees.
What are Complementary Angles?
When 2 pairs of corresponding angles and the included corresponding sides are congruent.
What is ASA
Two triangles ABC and EDC have no collinear segments and touch at point C. AC = EC and BC = DC.
What is SAS?
When line segment AB intersects line segment CD at point E, the following angles are congruent.
What is angles AED and BEC, and angles AEC and BED.
It divides a segment in to two congruent segments and forms 90 degree angles.
What is a perpendicular bisector?
Angles that share a side and a vertex but do not overlap.
What are Adjacent angles?
2 pairs of corresponding sides and the included corresponding angles are congruent.
What is SAS
Triangle XYZ has a segment drawn from vertex Y to the opposite side touching point W. YW bisects angle XYZ and angle X is congruent to angle Z.
What is AAS?
RT is the angle bisector of angle WRX.
What is "angle WRT is congruent to XRT"?
It divides an angle into two congruent angles.
What is a angle bisector?
Supplementary, adjacent angles.
What is a Linear Pair?
When 2 pairs of corresponding angles and a non-included pair of corresponding sides are congruent.
What is AAS
Two triangles have no collinear segments. ABC and EDC touch at point C. AB is parallel to ED and BC is congruent to DC. Name all ways.
What is AAS or ASA?
These non-adjacent, congruent angles are created by two intersecting lines.
What are vertical angles?
Angles formed by 2 parallel lines and a transversal. They will fall between the parallel sides, on opposite sides of the transversal.
What are Alternate Interior Angles?
If two angles are congruent, then the third angle is also congruent.
What is Third Angle Theorem
Isosceles triangle GHJ includes a segment drawn from the vertex angle's vertex to the opposite side that is perpendicular to the opposite side.
What is HL?
Line segment RT is perpendicular to line segment XZ at point T.
What is "angle RTX and angle RTZ are right angles?".
In triangle ABC, segment BD is drawn from B to AC. This segment is congruent to itself because of the ........
What is the reflexive property?
An if, then statement made up of a hypothesis and a conclusion.
What is a Conditional Statement?