Question

Identify the segment bisector of RS number 4 lesson 1.3

Answer 1

Complete Question:

Identify the segment bisector of RS. Then find RS:

• Also, see attachment for the image being referred to.

The segment bisector of $\overline{RS}$ is $\overrightarrow{MA}$

$\overline{RS} = 18$

Recall:

A segment bisector is a line or part of a line that divides a segment into two equal segments or parts.

Thus:

From the image in number 4, we have line RS that is divided by $\overrightarrow{MA}$ into two equal segments, namely:

RM and MS

The segment bisector  of $\overline{RS}$ is therefore $\overrightarrow{MA}$.

Thus:

$RM = MS = 9$ (equal segments)

$RM + MS = RS$ (segment addition postulate)

Substitute:

$9 + 9 = \overline{RS}\\18 = \overline{RS}\\\overline{RS} = 18$

Therefore:

The segment bisector of $\overline{RS}$ is $\overrightarrow{MA}$

$\overline{RS} = 18$

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