Q1. For two right-angled triangles PQR and ABC, it is given that \(\angle P = 25^\circ\), \(\angle C = 25^\circ\), \(\angle Q = \angle B = 90^\circ\), and \(PR = CA\). Which of the following is true?
A \(\Delta PQR \cong \Delta BAC\)
B \(\Delta PQR \cong \Delta ACB\)
C \(\Delta PQR \cong \Delta CBA\) Correct
D \(\Delta PQR \cong \Delta CAB\)
Explanation
The correspondence must preserve equal angles and the equal hypotenuse. In triangle PQR, the right angle is at Q and the 25° angle is at P, so the remaining angle is at R. In triangle ABC, the right angle is at B and the 25° angle is at C, so the remaining angle is at A. Hence P corresponds to C, Q to B, and R to A, giving \(\Delta PQR \cong \Delta CBA\). The other orders match P with A or B, or Q with A or C, so they do not preserve the given angle correspondence.