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GREYUIT [131]
3 years ago
14

Create a line segment that is exactly 10 units in length and has a midpoint of (-3,4)

Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:  A segment AB with Endpoints A (-8, 4) and B (2,4) is a horizontal line segment with (-3,4) as the midpoint.

A segment CD with endpoints C(-3,9) and D(-3,-1) will create a vertical line segment with (-3,4) as the midpoint.

A line segment FG with endpoints F (-6,0) and G(0,8) is a diagonal line with a slope of 4/3 and its midpoint is (-3,4)

Step-by-step explanation: For a horizontal or vertical line segment, choose the x-value or the y value of the midpoint. subtract 5 to get the lower endpoint, add 5 to get the higher endpoint. Keep the other coordinate the same.

The diagonal line segment is based on the hypotenuse of a triangle with side lengths corresponding to the Pythagorean Triple 3,4,5  Add and subtract 3 to the x-value od the midpoint, add and subtract 4 to the y value of the midpoint and the hypotenuses will extend 5 units in both directions from the midpoint.

Maybe TMI, bit I am hoping to earn a Brainliest.

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