Question

1. using a divider, identify the shortest and the longest side in each of the figures shown in fig. 5.4 and then measure their lengths using a ruler.
2. given de = 1.5 cm, ef = 9 cm, df = 7.5 cm, check whether or not the points d, e and f are collinear. if yes, which point lies in between the other two?

Explanation:

planation:

Step1: Check the sum of two shorter segments

If three points \(D\), \(E\), \(F\) are collinear, then the sum of the lengths of two shorter segments should be equal to the length of the longest segment.
Here, \(DE = 1.5\) cm and \(DF=7.5\) cm. Their sum is \(DE + DF=1.5 + 7.5\)
$$DE + DF=9$$

Step2: Compare with the third - segment

We know that \(EF = 9\) cm. Since \(DE+DF = EF\)

Answer:

The points \(D\), \(E\) and \(F\) are collinear. The point \(D\) lies between \(E\) and \(F\)