Question

date: friday, 19 september 2025
4 minutes
distance day 2
learning target 4: i can apply the distance formula and segment addition postulate to find distances on a line.
use figure 2 to find each measure:

1. gc
2. ge
3. cf
4. hf

Explanation:

Step1: Recall distance formula on number - line

The distance between two points \(a\) and \(b\) on a number - line is \(d=\vert a - b\vert\).

Step2: Find \(GC\)

The coordinate of \(G\) is \(10\) and the coordinate of \(C\) is \(-2\). Then \(GC=\vert10-(-2)\vert=\vert10 + 2\vert = 12\).

Step3: Find \(GE\)

The coordinate of \(G\) is \(10\) and the coordinate of \(E\) is \(3\). Then \(GE=\vert10 - 3\vert=7\).

Step4: Find \(CF\)

The coordinate of \(C\) is \(-2\) and the coordinate of \(F\) is \(8\). Then \(CF=\vert8-(-2)\vert=\vert8 + 2\vert = 10\).

Step5: Find \(HF\)

The coordinate of \(H\) is \(14\) and the coordinate of \(F\) is \(8\). Then \(HF=\vert14 - 8\vert = 6\).

Answer:

1. \(12\)
2. \(7\)
3. \(10\)
4. \(6\)