Question

FAN AND MEDAL

Answer 1

Look at the rectangle and the square:

Answer 2

Anna says that the length of diagonal SQ is two times the length of diagonal OM.

Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answer 3

use the pythagorean theorem to find the length of both hypotenuses (diagonals)

Answer 4

okay

Answer 5

do you know how to do that?

Answer 6

i am not sure

Answer 7

for the rectangle, 14^2+7^2=SQ^2

Answer 8

for the square, 7^2+7^2=OM^2.

Answer 9

Once you solve and find the lengths of SQ and OM, you can see their relationship, ex: if one is really double the length of the other

Answer 10

okay thanks

Answer 11

no problem :)