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Mathematics

Grade9

Easy

Question

Is _________________ the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂) ?

$(\frac{y_{1} + y_{2}}{2}, \frac{x_{1} + x_{2}}{2})$
$(\frac{x_{1} + y_{2}}{2}, \frac{x_{1} + y_{2}}{2})$
$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$
$(\frac{x_{1} - x_{2}}{2}, \frac{y_{1} - y_{2}}{2})$

hint Hint:

The formula to find midpoint of line segment bounded by two end points and is $open parentheses fraction numerator x subscript 1 end subscript plus x subscript 2 end subscript over denominator 2 end fraction comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses$

The correct answer is: $open parentheses fraction numerator x subscript 1 end subscript plus x subscript 2 end subscript over denominator 2 end fraction comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses$

The formula to find midpoint of line segment bounded by two end points and is $open parentheses fraction numerator x subscript 1 end subscript plus x subscript 2 end subscript over denominator 2 end fraction comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses$
Therefore, The formula to find midpoint is $open parentheses fraction numerator x subscript 1 end subscript plus x subscript 2 end subscript over denominator 2 end fraction comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses$

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