Two triangles are said to be congruent if all three corresponding sides and angles are equal in size.
To appear identical, these triangles can be moved, rotated, flipped, and turned.
They will coincide if they are moved.
Congruence exists when two triangles satisfy the five congruence conditions.
They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).
So,
To prove: ΔPQR ≅ ΔXYZ
P(8,1) ≠ X(5,11)
Q(-7,-15) ≠ Y(-10,-5)
R(9,-6) ≠ Z(6,4)
So, we can say that ΔPQR ≇ ΔXYZ.
Therefore, ΔPQR ≇ ΔXYZ.
Know more about the congruency of a triangle here:
