Question

Identify all of the false triangle congruence shortcuts.

A) SAS (Side-Angle-Side)
B) ASA (Angle-Side-Angle)
C) SSS (Side-Side-Side)
D) AAS (Angle-Angle-Side)

Answer 1

The false triangle congruence shortcuts are ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side).

Step-by-step explanation:

The false triangle congruence shortcuts are B) ASA (Angle-Side-Angle) and D) AAS (Angle-Angle-Side).

The Angle-Side-Angle (ASA) shortcut states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. However, this shortcut is not always true because there can be multiple non-congruent triangles that satisfy this condition.

The Angle-Angle-Side (AAS) shortcut states that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent. However, this shortcut is also not always true because there can be multiple non-congruent triangles that satisfy this condition.