Question

Draw two parallel lines l and m. Draw three angles 60°, 90° and 120° on one line at points A, P and R which meets another line at points B, Q and S respectively. Measure the length of AB, PQ, and RS. Which is the shortest distance between l and m.
Dis you observe something?

Answer 1

Step 1: Draw two parallel lines l and m.
Step 2: Draw three angles 60°, 90° and 120° on one line at points A, P and R.
Step 3: Mark the extended angles lines as B, Q and S respectiely.
Step 4: Measure the length of AB, PQ, and RS

We found that shortest distance among AB, PQ and RS is of PQ.
Observe that shortest distance between parallel lines will be equal to the perpendicular drawn between them.