Question

Complete the proof for proving that the diagonals of an isosceles trapezoid are congruent.
http://www.intervisualtechnology.us/data/1/14182/unit_6_7_q7.png

Answer 1

Do you know the distance formula?

Answer 2

Not really

Answer 3

The distance, \(d\), between points \((x_1, y_1)\) and \((x_2, y_2) \) is

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Answer 4

Basically it means that when you have two points and you know their coordinates, you can find the distance between the points by doing this:
1. Find the difference between x-coordinates and square it.
2. Find the difference between y-coordinates and square it.
3. Add the squares.
4. Take the square root of the sum.

Answer 5

Look at your problem.
You need the distance between points E and G.
What are the coordinates of points E and G?

Answer 6

E (-a,0)
G (b,c)

Answer 7

D= (b--a)2 +(c-0)2
D= (b+a)2 + (c-0)2
D= (B+a)2 + c2

Answer 8

So would it be D