Question

The vertices of the trapezoid are the origin, A(4m, 4n), B(4q, 4n), and C(4p, 0). Find the midpoint of the midsegment of the trapezoid.

Answer 1

a.
(2q, 2n)
c.
(m + q + p, n)
b.
(m + q + p, 2n)
d.
(2m + 2p, 2n)

Answer 2

Have you tried graphing it?

Answer 3

It came with a graph but this confuses me all to heck

Answer 4

No, just the opposite. The graph will help because it will show you which sides you need to get the midpoints of.

Answer 5

Do you know what the midsegment of a trapezoid is?

Answer 6

What exactly is the midpoint of the midsegment?

Answer 7

I know what it is but it's more of the coordinates just being confusing

Answer 8

The midsegment of a trapezoid is the segment that connects the midpoints of the non-parallel sides of the trapezoid.

Answer 9

By looking at a graph, you can easily tell which are the two non-parallel sides.

Answer 10

Then find the midpoint of each of the two non-parallel sides.

Answer 11

Do you know how to find the midpoint of a segment given its endpoints?

Answer 12

Sadly I don't

Answer 13

That's not a hard thing to do.
Take the x-coordinates and find their average.
Take the y-coordinates and find their average.

Answer 14

For example, the midpoint of segement AB with coordinates A(0, 6) and B(8, 12) is

\(\left(\dfrac{0 + 8}{2}, \dfrac{6 + 12}{2} \right) = (4, 9)\)

Answer 15

Does your trapezoid look somewhat like this one?