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.
If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.
To determine if triangles PQR and XYZ are congruent, we need to compare their corresponding sides and angles. If all three pairs of sides are equal (SSS), or if two pairs of sides and the included angle are equal (SAS), or if two angles and the corresponding side between them are equal (ASA or AAS), then the triangles are congruent. Additionally, if the triangles are similar (AA), they may not be congruent unless their corresponding sides are also proportional. Thus, without specific measurements or angles provided, we cannot definitively conclude congruence.
There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. We have no idea what triangles uvw and xyz are! It would also be useful to develop the habit of checking your questions for completeness before posting them.
It's a rhombus...
not congruent
Might not be congruent
not congruent
Congruent - SAS
Congruent - SSS
congruent - asa
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.
Congruent-SSS
Nope Congruent - SSS Apex. You're welcome.
APEX Congruent-SAS
congruent - SSSAnswer by Arteom, Friday December 10, 2010
HPE is an angle congruent to angle HRN.