Question

Draw any line segment, say PQ. Take any point D lying between P and Q. Measure the
lengths of PD, DQ and PQ. Is PQ = PD + DQ?
​

Answer 1

Drawing a line segment.

Given:

• Draw PQ
• Take any point D lying between P and Q
• Measure PD, DQ and PQ

To check:

• PQ = PD + DQ

Condition 1.

• D lies on the line segment PQ

• Refer to (figure 1) in attachment
• PQ = 10 cm
• PD = 4 cm and DQ = 6 cm
• Thus PQ = PD + DQ

Condition 2.

• D doesn't lie on the line segment PQ

• Refer to (figure 2) in attachment
• PQ = 10 cm
• PD = 4.2 cm and DQ = 6.4 xm
• Thus PQ ≠ PD + DQ