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The midpoint of the line segment is (-1, 2).True or False

The midpoint of the line segment is (-1, 2).True or False-example-1
User Detj
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1 Answer

1 vote

Given:

Given a line segment with endpoints A(2, -4) and B(2, 2).

Required: To check (-1,2) is the midpoint of the line.

Explanation: The midpoint of a line segment joining two points (a, b) and (c, d) is


((a+c)/(2),(b+d)/(2))

Here, a = 2, b =-4, c = 2 and d = 2. Then


\begin{gathered} m=((2+2)/(2),(-4+2)/(2)) \\ =((4)/(2),-(2)/(2)) \\ =(2,-1) \end{gathered}

The midpoint of the line segment is (2, -1), not (-1, 2). Hence the statement is false.

Final Answer: The given statement is false.

User Foxhunt
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