Question

name: date: topic: class: main ideas/questions notes/examples measuring segments the distance between two points a and b be written as or. ab = congruent segments if, then the segments are congruent. this is written as. segment addition postulate if a, b, and c, are collinear points and b is between a and c, then

Explanation:

Step1: Recall distance notation

The distance between two points $A$ and $B$ can be written as $AB$ or $d(A,B)$.

Step2: Calculate distance on number - line

From the number - line, if $A$ is at $- 1$ and $B$ is at $2$, then $AB=|2 - (-1)|=3$.

Step3: Recall congruent segments definition

If two segments have the same length, then the segments are congruent. This is written as $\overline{AB}\cong\overline{CD}$ if $AB = CD$.

Step4: Recall segment - addition postulate

If $A$, $B$, and $C$ are collinear points and $B$ is between $A$ and $C$, then $AB + BC=AC$.

Answer:

The distance between two points $A$ and $B$ be written as $AB$ or $d(A,B)$. $AB = 3$. If two segments have the same length, then the segments are congruent. This is written as $\overline{AB}\cong\overline{CD}$. If $A$, $B$, and $C$ are collinear points and $B$ is between $A$ and $C$, then $AB + BC = AC$.