Question

wake meh up when it all over ...............

Answer 1

If the diagonals of a parallelogram are perpendicular, then the parallelogram must be a __________.
kite

square

rectangle

rhombus

Answer 2

Lets draw it.

Answer 3

What shape is ABCD?

Answer 4

kinda looks like a rectangle

Answer 5

Well a rectangle looks like this:

Answer 6

i know

Answer 7

And a square is just a rectangle with equal sides.

Answer 8

i know

Answer 9

So there are only two possibilities left. Do you know what a kite looks like?

Answer 10

yes

Answer 11

Is ABCD a kite?

Answer 12

not in my eyes

Answer 13

Good eyes. So there is only one thing left that it could be.

Answer 14

rhombus

Answer 15

Correct.

Answer 16

tho it does not look like it

Answer 17

It is a type of rhombus. and we even proved it by process of elimination.

Squares and rectangles do not have diagonals.
A kite's diagonals are nor perpendicular (form a 90 degree angle if you extend them out.

Answer 18

You are used to seeing a rhombus like this:

Answer 19

But the ABCD diagram is another type of rhombus.

Answer 20

oh alright thanks

Answer 21

Wait. Know what I read your question wrong. Gawd.

Answer 22

ABCD is a trapezoid. The diagonals that the questions refers to are the bisecting diagonals and not the diagonal sides. SO Let me draw some new diagrams.

Answer 23

lol

Answer 24

@agent0smith help