Q39. Find the coordinates of the midp... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 3: Q39. (page 113)

Find the coordinates of the midpoint of $\overset{炉}{A B}$ . (You may want to draw a diagram.)
$A (鈥� 5, 鈥� 2)$ , $B (鈥� 3, 鈥� 2)$ .

Short Answer

Expert verified

The coordinates of the midpoint of $\overset{炉}{A B}$ is $(鈥� 4, 鈥� 2)$ .

Step by step solution

Step 1. Write the formula to find the coordinates of the midpoint of the line joining the points A(x1,y1) and B(x2,y2).

The formula to find the coordinates of the midpoint of the line joining the points $A (x_{1}, y_{1})$ androle="math" localid="1647230529352" $B (x_{2}, y_{2})$ is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

Step 2. Find the coordinates of the midpoint of the line joining the points A(–5, –2) and B(–3, –2).

The coordinates of the midpoint of the line joining the points $A (鈥� 5, 鈥� 2)$ and $B (鈥� 3, 鈥� 2)$ is given by:

$\begin{matrix} (\frac{鈭� 5 + (鈭� 3)}{2}, \frac{鈭� 2 + (鈭� 2)}{2}) = (\frac{鈭� 5 鈭� 3}{2}, \frac{鈭� 2 鈭� 2}{2}) \\ = (\frac{鈭� 8}{2}, \frac{鈭� 4}{2}) \\ = (鈭� 4, 鈭� 2) \end{matrix}$