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).
Nicki Minaj
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.
SAS
It is isosceles.
It is isosceles.
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.
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.
Nicki Minaj
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.
bh=ws
No, nothing is shown at right!
sc
XYZ
Transitive
Let the triangle be ABC and its medians by AX and BY and CZ. Therefore, since AC=AB, and OP=BD. Therefore, By Triangle Equiangular Property, Triangle ABC simliar to Triangle XYZ Therefore, Three times the sum of the squares of sides of triangle equal to 4 times of its median.:) Hope it helped.
To be a meaningful question this should read "what is the difference between xyz and abc, where xyz and abc are two different things, or the same thing with different names.