Chapter 1: Q. 61 (page 15)

Find the midpoint of the line segment joining the points P₁ and P₂ .
$P_{1} = (a, b); P_{2} = (0, 0)$

Short Answer

Expert verified

The midpoint of line segment is $(\frac{a}{2}, \frac{b}{2})$ .

Step by step solution

Step 1. Given information.

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (a, b); P_{2} = (0, 0)$

Step 2. Midpoint Formula.

The midpoint $M = (x, y)$ of the line segment from $P_{1} = (x_{1}, y_{1}) to P_{2} = (x_{2}, y_{2})$ is

$M = (x, y) = (\frac{x_{1} + x_{2}}{2}, \frac{y_{2} + y_{1}}{2})$

Step 3. Apply the midpoint formula.

The coordinates (x, y) of the midpoint M are

$x = \frac{x_{1} + x_{2}}{2} = \frac{a + 0}{2} = \frac{a}{2} and y = \frac{y_{1} + y_{2}}{2} = \frac{b + 0}{2} = \frac{b}{2}$

So, Midpoint $M = (x, y) = (\frac{a}{2}, \frac{b}{2})$

Step 4. Conclusion.

The midpoint of the line segment is $(\frac{a}{2}, \frac{b}{2})$ .

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Find the midpoint of the line segment joining the points P₁ and P₂ .
$P_{1} = (a, b); P_{2} = (0, 0)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Midpoint Formula.

Step 3. Apply the midpoint formula.

Step 4. Conclusion.

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Find the midpoint of the line segment joining the points P1 and P2 .P1=(a,b);P2=(0,0)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Midpoint Formula.

Step 3. Apply the midpoint formula.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the midpoint of the line segment joining the points P₁ and P₂ .
$P_{1} = (a, b); P_{2} = (0, 0)$