APEX Congruent-SAS
yes
SAS
not congruent
Congruent - SAS
Congruent - SSS
yes
If triangle ABC is congruent to triangle DEF, the postulate that applies is the Side-Angle-Side (SAS) Congruence Postulate. This postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. Other applicable postulates could include Side-Side-Side (SSS) or Angle-Side-Angle (ASA), depending on the specific information given.
SAS
not congruent
To determine if triangle MNO is congruent to triangle PQR, we need to compare their corresponding sides and angles. If they are equal in length and measure, then MNO is congruent to PQR. The specific congruence postulate that could apply is the Side-Angle-Side (SAS) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Congruent - SAS
Congruent - SSS
congruent - asa
Might not be congruent
Yes, triangles ABC and DEF are congruent if all corresponding sides and angles are equal. The congruence postulate that applies in this case could be the Side-Angle-Side (SAS) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. Other applicable postulates include Side-Side-Side (SSS) and Angle-Angle-Side (AAS), depending on the known measurements.
To determine if triangles UVW and XYZ are congruent, we need information about their corresponding sides and angles. If we know that all three sides of triangle UVW are equal to the three sides of triangle XYZ (SSS postulate), or if two sides and the included angle of one triangle are equal to two sides and the included angle of the other (SAS postulate), then they are congruent. Without specific measurements or relationships, we cannot conclude congruence.
not congruent