Question

Find the midpoint of each side of the trapezoid.

Answer 1

Find the midpoint of each side of the trapezoid. Connect the midpoints. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid?

Answer 2

I have the coordinates but i need the midpoints

Answer 3

first you have to determine the length of AB and CD, respectively

Answer 4

Midpoint formula below, and I believe the midpoints of a trapezoid form a parallelogram.

Answer 5

Thank you both i think i finally figured it out though(:

Answer 6

do you mind helping me with another question though?

Answer 7

Sure

Answer 8

Prove using coordinate geometry: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Start by representing points with variables as some of the coordinates then prove the statement using them. You will need three points (two endpoints and a point on the perpendicular bisector).

Answer 9

So I was thinking you could turn that into a triangle and say that congruent triangles have congruent sides

Answer 10

Something like this. It would be ASA (angle side angle)
- the triangles both have 90 degree angles
- they share the line c so they have congruent sides
- the third one I was not sure about and just guessed congruent angles

I hope this helped