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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)

User Scheibk
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2 Answers

5 votes
the anwser is
x1+x2/2
so
-2+3/2
=1/2
=0.5

User Chandru
by
8.5k points
2 votes

Answer: 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((a+c)/(2),(b+d)/(2)\right).

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


\left((-2+3)/(2),(4+7)/(2)\right)=\left((1)/(2),(11)/(2)\right)=(0.5,5.5).

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

User Crocodile
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