Show that the point $(5, 5)$ is the midpoint of the line segment joining $(3, 5)$ and $(7, 5)$.
(N/A) To find the midpoint of a line segment joining two points $(x_1, y_1)$ and $(x_2, y_2)$,we use the midpoint formula:
Midpoint $= \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$
Given points are $(x_1, y_1) = (3, 5)$ and $(x_2, y_2) = (7, 5)$.
Substituting these values into the formula:
Midpoint $= \left( \frac{3 + 7}{2}, \frac{5 + 5}{2} \right)$
Midpoint $= \left( \frac{10}{2}, \frac{10}{2} \right)$
Midpoint $= (5, 5)$
Since the calculated midpoint is $(5, 5)$,which matches the given point,it is proven that $(5, 5)$ is the midpoint of the line segment joining $(3, 5)$ and $(7, 5)$.
Midpoint $= \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$
Given points are $(x_1, y_1) = (3, 5)$ and $(x_2, y_2) = (7, 5)$.
Substituting these values into the formula:
Midpoint $= \left( \frac{3 + 7}{2}, \frac{5 + 5}{2} \right)$
Midpoint $= \left( \frac{10}{2}, \frac{10}{2} \right)$
Midpoint $= (5, 5)$
Since the calculated midpoint is $(5, 5)$,which matches the given point,it is proven that $(5, 5)$ is the midpoint of the line segment joining $(3, 5)$ and $(7, 5)$.
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