SAS
similar aa
not congruent
not congruent
congruent - SSSAnswer by Arteom, Friday December 10, 2010
cannot be determined
similar aa
not congruent
not congruent
congruent - SSSAnswer by Arteom, Friday December 10, 2010
cannot be determined
To determine if angle UVW is congruent to angle XYZ, we need to know if they have the same measure or if they are formed by the same lines or points. If they are both measured as equal or if they are vertical angles, then they are congruent. The postulate that applies in such a case is the Angle Congruence Postulate, which states that if two angles have the same measure, they are congruent.
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.
Triangles PQR and XYZ are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional. This can be established using the Angle-Angle (AA) Similarity Postulate, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. If you can confirm the equality of the angles or the proportionality of the sides, then PQR is similar to XYZ.
sc
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.
XYZ
Transitive