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To determine if triangle ABC is congruent to triangle XYZ, we need to compare their corresponding sides and angles. If all three sides of triangle ABC are equal in length to the corresponding sides of triangle XYZ, and all three angles of triangle ABC are equal in measure to the corresponding angles of triangle XYZ, then the triangles are congruent by the Side-Side-Side (SSS) congruence criterion. If not, we can check for congruence using other criteria such as Side-Angle-Side (SAS) or Angle-Side-Angle (ASA).
Triangle ABC is congruent to triangle XYZ if AB=XY, BC=YZ, and CA=ZX. Also angle A=angle X, angle B=angle Y, and angle C= angle Z.
74 degrees
No, angle XYZ is not the same as angle ZYX. In geometry, angles are defined by the order of their three points, with the middle letter denoting the vertex. Therefore, angle XYZ has point Y as its vertex, while angle ZYX has point Z as its vertex. The order of the points matters in determining the specific angle in question.
12 inches