Mathematics: Find the point that splits segment cd in half if point c is located at (-2,4) and point d is located at (3,7)

Find the point that splits segment cd in half if

Ответ:

stricklandashley43

17.01.2022

The required co-ordinates of the point are (0.5, 5.5).

Step-by-step explanation: We are given to find the co-ordinates of the point that splits CD in half if point C is located at (-2,4) and point D is located at (3,7).

The point that splits the line segment CD in half will be the mid-point of the segment CD.

We know that

the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by

$\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the co-ordinates of the given point that splits CD in half are given by

$\left(\dfrac{-2+3}{2},\dfrac{4+7}{2}\right)=\left(\dfrac{1}{2},\dfrac{11}{2}\right)=(0.5,5.5).$

Thus, the required co-ordinates of the point are(0.5, 5.5).

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Find the point that splits segment cd in half if point c is located at (-2,4) and point d is located at (3,7)

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