Chapter 3: Q40. (page 113)

Find the coordinates of the midpoint of $\bar{A B}$ . (You may want to draw a diagram.)
$A (4, - 1)$ , $B (- 2, - 1)$ .

Short Answer

Expert verified

The coordinates of the midpoint of $\bar{A B}$ is(1,–1).

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 $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ 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(4, –1) and B(–2, –1).

The coordinates of the midpoint of the line joining the points $A (4, - 1)$ and $B (- 2, - 1)$ is given by:

$\begin{matrix} (\frac{4 + (- 2)}{2}, \frac{- 1 + (- 1)}{2}) = (\frac{4 - 2}{2}, \frac{- 1 - 1}{2}) \\ = (\frac{2}{2}, \frac{- 2}{2}) \\ = (1, - 1) \end{matrix}$

Step 3. Write the conclusion.

The coordinates of the midpoint of the line joining the points $A (4, - 1)$ and $B (- 2, - 1)$ is $(1, - 1)$ .

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Find the coordinates of the midpoint of $\bar{A B}$ . (You may want to draw a diagram.)
$A (4, - 1)$ , $B (- 2, - 1)$ .

Short Answer

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).

Step 2. Find the coordinates of the midpoint of the line joining the points A(4, –1) and B(–2, –1).

Step 3. Write the conclusion.

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Find the coordinates of the midpoint of AB¯. (You may want to draw a diagram.)A(4,–1), B(–2,–1).

Short Answer

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).

Step 2. Find the coordinates of the midpoint of the line joining the points A(4, –1) and B(–2, –1).

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Calculus

Mechanics Maths

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the coordinates of the midpoint of $\bar{A B}$ . (You may want to draw a diagram.)
$A (4, - 1)$ , $B (- 2, - 1)$ .