Question

warm up coordinates and lengths in the coordinate plane find each of the following and explain your reasoning: 1. the length of segment be.

Explanation:

Step1: Identify coordinates

The coordinates of $B=(2,2)$ and assuming $E$ has the same $x -$coordinate as $D$ and same $y -$coordinate as $B$, if we assume $E$ is on the vertical - line above $B$ and horizontal - line to the left of $D$, and from the graph, we can see that the $x -$coordinate of $B$ is $2$ and the $y -$coordinate of $E$ is the same as the $y -$coordinate of $D$. Let's assume the $y -$coordinate of $D$ is $7$. So $E=(2,7)$.

Step2: Use distance formula for vertical line

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For two points $B(2,2)$ and $E(2,7)$ where $x_1=x_2 = 2$, the formula simplifies to $d=\vert y_2 - y_1\vert$. Here, $y_1 = 2$ and $y_2=7$.
$d=\vert7 - 2\vert$
$d = 5$

Answer:

The length of segment $BE$ is $5$.