Question

Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AB = 10.

Answer 1

SOLUTION

The definition of the segment addition postulate states that if we have a line segment AC and a point B within it, the sum of the lengths of the segments AB and BC will give the total length of AC

Now from the Segment Addition postuate above,

Since point E lies between A and B, then

$\begin{gathered} AE+EB=AB,\text{ that is } \\ 6+4=10 \\ AB=10 \end{gathered}$

Hence AB = 10 due to the Segment Addition Postulate.

Hence the answer is Segment Addition Postulate.