Mahabir Singh Solutions for Chapter: Congruence of Triangles, Exercise 2: Exercise

Ananya is designing the window shown in the figure. She wants to make $∆PRQ$ congruent to $∆PRS$. She designs the window so that $PR\perp QS$. Which of the following conditions will make the two triangles congruent?

Akira gave a problem to her sister Kiara. However, Kiara got stuck. Help Kiara identify whether the triangles are congruent and choose the correct option.

Three students Pia, Sia and Tia wrote a statement on a blackboard.
Pia wrote, “All rectangles are congruent”
Sia wrote, “All equilateral triangles are congruent”
Tia wrote, “All right angled triangles are congruent”
Who wrote the INCORRECT statement?

Tiara wants to know the width of the given river. While doing so, she stands on the edge of the river and look straight across to a point on the other edge without changing the inclination of the neck and head. She turns sideways until the vision is in line with a point on the side of the stream.

From the above description, find the value of $\mathrm{QR}$.