By using the figure, the congruent sides and angles include the following;
AB ≅ PQ
BC ≅ QR
AC ≅ PR
∠A ≅ ∠P.
∠B ≅ ∠Q.
∠C ≅ ∠R.
In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on congruence property or similarity theorem, we can logically deduce that triangle ABC and triangle PQR are both congruent or similar due to the following congruent sides and angles:
AB ≅ PQ
BC ≅ QR
AC ≅ PR
∠A ≅ ∠P.
∠B ≅ ∠Q.
∠C ≅ ∠R.
ΔABC ≅ ΔPQR