Question

What is the midpoint of EC?

Answer 1

(t+p,r)

Explanation:

To find midpoint you average the x's and averages the y's of the endpoints.

So x-coordinate (2p+2t)/2 =p+t

So y-coordinate (2r+0)/2=2r/2=r

So midpoint (p+t, r)

Answer 2

The correct answer is first option

(t + p, r)

Explanation:

Points to remember

midpoint formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]

To find the midpoint of EC

Let (x1, y1) = E(2t, 0) and (x2, y2) = C(2p, 2r)

Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]

= (2(t + p)/2 , 2r/2)

= (t + p, r)

Therefore midpoint of EC = (t + p, r)

The correct answer is first option