Q7. - Algebra 2

Question

For exercises 7-10, use the rectangle at the right

Write the coordinates in a vertex matrix

Step-by-Step Solution

Answer

Coordinates of rectangle $ABCD$ in vertex matrix is $\left[\begin{array}{cccc}0& 5& 5& 0\\ 4& 4& 0& 0\end{array}\right]$

Step 1 - Write Coordinates of rectangle

From given image, coordinates of the vertices of rectangle are $A\left(0,4\right),B\left(5,4\right),C\left(5,0\right),\text{ and }D\left(0,0\right)$

Step 2 - Vertex matrix

Since, an ordered pair $\left(x,y\right)$ is represented by a column matrix $\left[\begin{array}{c}x\\ y\end{array}\right]$ and rectangle has 4 ordered pair on vertices so required matrix has 2 rows and 4 columns.

First row represent $x-\text{coordinate}$ and second row represents $y-\text{coordinate}$ of each vertex.

Step 3 - Required vertex matrix

Write each ordered pair of rectangle as a column of a matrix to get

$\left[\begin{array}{cccc}0& 5& 5& 0\\ 4& 4& 0& 0\end{array}\right]$