X
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
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.
To show that triangle ABC is congruent to triangle XYZ by the Angle-Angle-Side (AAS) criterion, you would need to establish that one pair of corresponding sides is congruent. Specifically, you need to demonstrate that one side of triangle ABC is congruent to the corresponding side of triangle XYZ, in addition to having two angles in triangle ABC congruent to two angles in triangle XYZ. This combination of two angles and the included side would satisfy the AAS condition for congruence.
74 degrees
75 7 is two greater than 5 and 7+5=12!!
To show that triangle ABC is congruent to triangle XYZ by the ASA (Angle-Side-Angle) criterion, we need to establish that two angles in triangle ABC are congruent to two angles in triangle XYZ, along with the side that is included between those angles being congruent. Specifically, if we have ∠A ≅ ∠X, ∠B ≅ ∠Y, and side AB ≅ XY, then the triangles can be concluded as congruent by ASA. Thus, we would need to confirm the congruence of these angles and the included side.
To show that triangle ABC is congruent to triangle XYZ by the Angle-Side-Angle (ASA) criterion, we need to establish that one pair of angles and the included side between them are equal in both triangles. Specifically, if we already have one pair of equal angles (∠A = ∠X) and the included side (AB = XY), we would also need to show that the second pair of angles (∠B = ∠Y) is equal. With these conditions satisfied, triangle ABC would be congruent to triangle XYZ by ASA.
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.
26 degrees
Without seeing the picture, I can't tell what's already known to be congruent, so there's no way I can figure out what 'else' is needed.
The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.
It all depends on what xyz is. If xyz is an arc of a curve, there will be no vertex whereas if xyz is a triangle, each of x, y and z will be a vertex.