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Why isn't the answer parallelogram?

(I am aware a rhombus is a type of parallelogram). Can someone please simply explain? Thank you! I have an exam soon.

Oh yeah: Slope of CD is 0 and Slope of AD is 4/3

Answer 1

Autumn Armstrong

#ABCD# is a rhombus.

You have to prove that the diagonals cut at right angles. Then it is a rhombus.

Let the point of intersection of the diagonals be #O#

The height is #=4#

We have

#AB=BC=CD=DA=5#

Diagonal, #AC=sqrt(8^2+4^2)=sqrt80#

So,

#AO=sqrt80/2=sqrt20#

Diagonal, #BD=sqrt(4^2+2^2)=sqrt20#

#BO=sqrt20/2=sqrt5#

So,

In the triangle #AOB#

#AO=sqrt20#

#BO=sqrt5#

and #AB=5#

#AO^2+BO^2=20+5=25=AB^2#

Therefore,

the triangle #AOB# is right triangle ( inverse theorem of Pythagoras)

So, #ABCD# is a rhombus.

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Answer 2

Aurora Ayala

The answer isn't parallelogram because the given question likely pertains to a specific context or problem where the properties or conditions of a parallelogram do not apply. Without further details or context, it's challenging to provide a precise explanation for why parallelogram isn't the correct answer.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Why isn't the answer parallelogram?

(I am aware a rhombus is a type of parallelogram). Can someone please simply explain? Thank you! I have an exam soon. Oh yeah: Slope of CD is 0 and Slope of AD is 4/3

(I am aware a rhombus is a type of parallelogram). Can someone please simply explain? Thank you! I have an exam soon.

Oh yeah: Slope of CD is 0 and Slope of AD is 4/3