Say true or false.
The mid-point of the line segment joining the points $P (x_{1}, y_{1})$ and $Q (x_{2}, y_{2})$ is
$\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2} .$

True

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False

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Solution

The correct option is A True
The midpoint between two points is the point on the line halfway between them.
Average the x-coordinates and average the y-coordinates.
Midpoint = $\frac{x_{1} + x_{2}}{2}$ , $\frac{y_{1} + y_{2}}{2}$

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Similar questions

The coordinates of the mid-point of the line segment joining two points P(X₁, y₁, z₁) and Q(x₂, y₂, z₂) are:

P (x_{1}, y_{1})

Q (x_{2}, y_{2})

\sqrt{(x_{2} + x_{1})^{2} + (y_{2} + y_{1})^{2}}

Midpoint of the line joining the points ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ ) is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

(x_{1}, y_{1}), (x_{2}, y_{2})

(x_{3}, y_{3})

\frac{1}{2} [x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2})]

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