Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

8 0

Answer:

(2.5, 2.5)

Step-by-step explanation:

Coordinates of midpoint

$= \bigg( \frac{ - 2 + 7}{2}, \: \: \frac{6 - 1}{2} \bigg) \\ \\ = \bigg( \frac{5}{2}, \: \: \frac{5}{2} \bigg) \\ \\ = ( 2.5, \: \: 2.5 )$

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NNADVOKAT [17]

Answer: The value of x =2 units.

Explanation:

Since we have given that

AD= CD

BE= EA

So, we get that D and E are the mid-points of AC and AB respectively.

So, by Mid- point theorem , which states that the line joining the two midpoints is parallel to third side and it is half in length of third side i.e.

$DE=\frac{1}{2}BC$