The coordinate of M is .The length of the line segment MF is √2. Hence option H is the correct option.
What is the coordinates of a point?
An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point. Always begin at the beginning when possible.
Given that the coordinates of Point C is (3,7).
The coordinates of Point F is (5,5).
The coordinates of the midpoint of the line segment A(x₁, y₁) and B(x₂, y₂) is
(x₁ + x₂/2, y₁ + y₂/2).
The x-coordinate of midpoint of line segment CF is (3 + 5)/2 = 4
The y-coordinate of midpoint of line segment CF is (7 + 5)/2 = 6
M is midpoint of CF.
Thus the coordinates of M is (4,6).
The formula of distance of two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].
The length of line segment of MF is √[(5 - 4)² + (5 - 6)²] units
= √(1+1)
=√2 units
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