Question

Draw a line segment QR=5cm. Construct perpendiculars at point Q and R to it. Name them as QX and RY respectively. Are they both parallel?

Answer 1

1. Draw a line segment QR=5 cm.
2. Construct an angle of ${90}^{\circ }$ at Q and let this line through Q is QX.
3.Similar way, with R as Centre, construct an angle of ${90}^{\circ }$ and let this line through R is RY.

Yes, the line QX and YR are parallel.
Since, $\angle XQR=\angle YRP$ (corresponding angles)