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Geometry

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

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 3: Q36. (page 113)

Find the coordinates of the midpoint of $\bar{AB}$ . (You may want to draw an diagram.)
$A (2, 0)$ , $B (2, 10)$

Short Answer

Expert verified

The coordinates of the midpoint of $\bar{A B}$ is $(2, 5)$ .

Step by step solution

01

Step 1. Write the formula to find the coordinates of the midpoint of the line joining the points Ax1,y1 and Bx2,y2.

The formula to find the coordinates of the midpoint of the line joining the points $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ is role="math" localid="1647367735794" $(\frac{x_{1} + x_{2}}{}, \frac{y_{1} + y_{2}}{})$ .

02

Step 2. Find the coordinates of the midpoint of the line joining the points A(2, 0) and B(2, 10).

The coordinates of the midpoint of the line joining the points $A (2, 0)$ and $B (2, 10)$ is given by:

$\begin{matrix} (\frac{2 + 2}{2}, \frac{0 + 10}{2}) = (\frac{4}{2}, \frac{10}{2}) \\ = (2, 5) \end{matrix}$

03

Step 3. Write the conclusion.

The coordinates of the midpoint of the line joining the points $A (2, 0)$ and $B (2, 10)$ is $(2, 5)$ .

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Most popular questions from this chapter

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

Name two coplanar segments that do not intersect and yet are not parallel.

Complete each statement with the word always, sometimes, or never.Two parallel lines are coplanar.

State the postulate or theorem that justifies each statement.

$k ⊥ p$

Classify each pair of angles as alternate interior, same side interior

or corresponding angles

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