Unit 10 Congruence and Transformation

Given three side lengths, how many triangles can be formed?

1

Given: Side WA = NO, Side WS = NT, Angle W = N.

SAS Postulate ("The angle must lie between the two equal sides.")

Given: Angle A = O, Angle W = N, Side SW = TN.

AAS Postulate ("If two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.")

Given:Angle W = N, Angle S = T, Side WA = NO

AAS Postulate ("If two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.")

Given: Angle W = N, Angle S = T, Side WS = NT.

ASA Postulate ("If two angles and the included side are equal to two angles and the included side of another triangle.")

Given: Side WS = NT, Side AS = OT, Angle S = T.

SAS Postulate ("The angle must lie between the two equal sides.")

Given.: Angle A = O, Side WA = NO, Side AS = OT.

SAS Postulate ("Two sides and the included angle of one triangle are congruent to the two sides and the included angle of the another triangle.")

Given: Side WA = NO, Side AS = OT, Side SW = TN

SSS Postulate ("Tells that if all the three sides of a triangle is equal to all the corresponding sides of the other triangle, then both the triangles are congruent.")

Two triangles with the same corresponding side lengths will be congruent is known as the ____.

SSS Postulate ("Two triangles with the same corresponding side lengths". Which means all three sides (S) are equal in the triangle.)