Question

Write a proof to show that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures. I need help. Please. I don't have that much time.

Answer 1

do you can drawing a rectangle ?

Answer 2

I don't think so I can try

Answer 3

Wow that's perfect

Answer 4

ty

Answer 5

No problem.

Answer 6

how you think that you can proving that the diagonales are congruent ?

Answer 7

Nope :/ idk how

Answer 8

What I would do is create two triangles, acknowledge that the two vertical sides are congruent, then use the pythagorean theorem to prove that the two diagonals are congruent

Answer 9

hope you know that a rectangle has opposite sides paralleles and equal - yes ?

Answer 10

Right

Answer 11

so than you know these and use what above wrote Lord Box so just you need to prove that bd = ac

using pythagora"s theorem what say that hypotenuse squared is equal 1 leg squared + 2 leg squared so

ac^2 = ad^2 +dc^2 and on the second one triangle will be

bd^2 = bc^2 +dc^2

and now using these above wrote that the opposite sides of a rectangle are equal and parallel so from this result that ad=bc and dc = ab

so than

ac^2 = ad^2 +dc^2
bd^2 = bc^2 +dc^2 and here because ad=bc so we can replace ad in place of bc
and will get

bd^2 = ad^2 +dc^2 what is exactly the same with the first equation so what mean that these diagonals are congruent

hope this helped you and this is understandably easy

Answer 12

Thank you I got it!

Answer 13

welcome

was my pleasure

good luck

bye bye

Answer 14

Bye bye!! Have a nice day! :)

Answer 15

nice night but thank you bc. here is in the night 0,05 oclock - in central Europe - Hungary

Answer 16

bye

Answer 17

..lthats so cool!