Question

Geo Help

Answer 1

Write an indirect proof to show that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.

Answer 2

Can you give this a shot?

Answer 3

I have a really hard time with my written proofs, and when I ask for help my teacher always says she doesn't understand how to help me.

Answer 4

wow, that's a horrible teacher

Answer 5

What always helps is a diagram :)

Answer 6

What is the shape we are working with for this proof?

Answer 7

Ok, so when writing an indirect proof, you always assume the correct answer is wrong so i would say:

"Assume that a rectangle does not have congruent diagonals"

Answer 8

We're working with a rectangle

Answer 9

No, that's good!!!

Answer 10

Let's get that diagram

Answer 11

Nice diagram! Please label the vertices :)

Answer 12

The 4 vertices*

Answer 13

vertices and diagonals

Answer 14

Well labeled :^)

Answer 15

thank you

Answer 16

With the assumption that the diagonals are not congruent, how do we proceed from there?

Answer 17

I honestly have no clue

Answer 18

What do we know about the opposite sides of rectangles?

Answer 19

They're congruent and parallel due to the definition of a rectangle

Answer 20

Good and what do we know about the angles?

Answer 21

They are also congruent and 90 degrees due to the definition of a rectangle.

Answer 22

Exactly :)

Answer 23

With 90 degree angle, what is ABD? and DCA?

Answer 24

Congruent angles, but there's a specific name and justification for them that I need and idk what it is

Answer 25

What figures do they form?