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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

when all angles are less than 90 degrees in a triangle

What is an acute triangle

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

the two angles used to find the exterior angle measure

What are remote interior angles?

200

when all sides are different lengths in a triangle

What is a scalene triangle?

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
It divides an angle into two congruent angles.
What is a angle bisector
300

All 3 angles in a triangle add to

What is 180 degrees

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

Draw a picture of a right isosceles triangle.

check answers with teacher

500

If two angles are congruent, then the third angle is also congruent.

What is Third Angle Theorem

500

Isosceles triangle GHJ includes a segment drawn from the vertex angle to the opposite side and is perpendicular to the opposite side.

What is 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

when all angles are 60 degrees and all sides are equal lengths in a triangle

What is an equilateral equiangular triangle