Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates to the vertices of a rectangle as shown.

Which sentence describes what Erika should do to prove that the diagonals of the rectangle are congruent?

https://static.k12.com/nextgen_media/assets/8080630-NG_GMT_S_01_U04_Quiz_02.png

Question

Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates to the vertices of a rectangle as shown.

 

Which sentence describes what Erika should do to prove that the diagonals of the rectangle are congruent?

https://static.k12.com/nextgen_media/assets/8080630-NG_GMT_S_01_U04_Quiz_02.png

itsbribro · Answer

ANSWERS::

itsbribro · Answer

@eliesaab

itsbribro · Answer

please help me

3mar · Answer

May I help?

itsbribro · Answer

yes please

3mar · Answer

Of course.
That is with my pleasure!

itsbribro · Answer

okay :)

itsbribro · Answer

i really do not understand this

3mar · Answer

What did you get?

What is the idea you think she used?

3mar · Answer

No problem at all!
I will walk Step by step with you In Sha' Allah

itsbribro · Answer

i think this is B

3mar · Answer

Why?

What is the meaning of "congruent diagonals"?

itsbribro · Answer

A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. 4. A parallelogram is a rhombus if and only if the diagonals are perpendicular. (Proof of theorem appears further down page.) Definition: A square is a parallelogram with four congruent sides and four right angles.

3mar · Answer

congruent diagonals means that they are equal in length! Simply!!

What choice can match this fact?

itsbribro · Answer

c

itsbribro · Answer

right?

3mar · Answer

Unfortunately, no.

What is the length of the diagonal in the figure?

itsbribro · Answer

um..the diagonal in the figure is the midpoint of JL and KM?

itsbribro · Answer

i'm sorry..

3mar · Answer

We are seeking for something relates of the lengths of the two diagonal, so that we can state that they re congruent!

Where is this statement!???

itsbribro · Answer

@eliesaab please help I don't understand..

itsbribro · Answer

I know you are being patient with me @3mar but I don't understand.. I am new to Geometry.. I don't know what i'm doing

3mar · Answer

I am with you if you faced any difficulties!
No problem at all!
I am here for help.



Ok Let me tell you that!

For eample:
|dw:1479184760044:dw|
the diagonal are congruent=the diagonal have the same length.
the sides are congruent=the sides have the same length.

So we are now going to find out the length of one diagonal.
Use tha formula I have sent you to get the distance between two opposite points of the rectangle.

I am with you if you faced any difficulties!