Postulates and Theorems
Congruent Triangles
And the result is...
Terms
Definitions
100
When all 3 pairs of corresponding sides are congruent.
What is SSS
100
Quadrilateral ABCD has a diagonal drawn from A to C. AB = CD, and AD = CB.
What is SSS.
100
Triangle ABC has a midpoint, M, on segment AC.
What is AM is congruent to CM.
100
A point which divides a segment into two congruent segments.
What is midpoint.
100
Complementary
What is two angles whose sum is 90 degrees.
200
When 2 pairs of corresponding angles and the included corresponding sides are congruent.
What is ASA
200
Two triangles ABC and EDC touch at point C. AC = EC and BC = DC.
What is SAS
200
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.
200
A segment that creates two 90 degree angles.
What is a perpendicular segment (altitude)
200
Adjacent angles
What are angles that share a side and a vertex but do not overlap.
300
2 pairs of corresponding sides and the included corresponding angles are congruent.
What is SAS
300
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 ASA or AAS.
300
RT is the angle bisector of angle WRX.
What is angle WRT is congruent to XRT.
300
A __________ is an angle bisector that divides an angle into two congruent angles.
What is ray.
300
Linear pair
What are supplementary, adjacent angles.
400
When 2 pairs of corresponding angles and a non-included pair of corresponding sides are congruent.
What is AAS
400
Two triangles 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.
400
AB and GH bisect each other at D.
What is AD = BD and GD = HD.
400
These non-adjacent, congruent angles are created by two intersecting lines.
What are vertical angles.
400
Alternate interior angles
What are angles formed by 2 parallel lines and a transversal. they will fall between the parallel sides, on opposite sides of the transversal and will form a Z/N shape with the parallel lines and the transversal.
500
Isosceles Triangle ABC has a segment from vertex B drawn to the opposite side and is perpendicular to that side
What is HL.
500
Isosceles triangle GHJ includes a segment drawn from the vertex angle to the opposite side and is perpendicular to the opposite side. All are ways to prove the two triangles congruent.
What is HL and AAS.
500
Line segment RT is perpendicular to line segment XZ at point T.
What is angle RTX is congruent to angle RTZ.
500
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.
500
Conditional Statement
What is an if, then statement made up of a hypothesis and a conclusion.
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