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The diagonals intersect at right angles and bisect the corners of the square.|dw:1443056876414:dw|

oh okay

yes

can you explain it?

|dw:1443059225044:dw|

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oh okay

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so this shape above is for the 2nd question?

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Yes. The second question is about a rhombus.

what about the 1st?

im so lost

Do you know what a square is?

yes

Do you know that all the sides of a square are equal?

yes

Do you know what a diagonal of a square is?

not so much

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oh okay got ya

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Do you know that diagonals of a square are equal?

yes i do

Answer question 1

hk = gj ?

You must name the segments the way they are labelled and they are labelled using capital letters.

HK = GJ ?

yes.

Do you know what perpendicular means?

yes

Do you know that the diagonals of a square bisect the angles?

um sorta

Do you know what bisect means?

yes

yes that is correct for number3

Do you know what perimeter is?

yes i do

Answer number 4

the answer is 4?

How many sides does a triangle have?

What are the three sides of triangle HJK?

12?

The three sides are HJ and JK and HK

How long is HJ ?

2?

How long is JK?

How long is HK?

how long is GL?

Look at the picture. Clearly GH and GL are not labelled with the same number.

\[\sqrt{2}\]

which is 1.41

right

Use the exact value. How long is KL ?

\[\sqrt{2}\]

How long is KH?

i dont know how to figure that out

\[\sqrt{2}+\sqrt{2}=2\sqrt{2}\]

Now find the perimeter of triangle HJK

um

HJ +JK +HK = \[2+2+ 2\sqrt{2}=4+2\sqrt{2}\]

And that is the perimeter.

uhh

What does uhh mean???

i dont know how to solve that

Solve what?

so thats the perimeter the 2 + 2+ 2 equation

\[4+2\sqrt{2}\] is the perimeter and that is what the problem asked you to find.

oh okay

what about the 2nd question

The second figure is a rhombus. Do you know what that means?

i know what a rhombus is

What is it?

its a parallelogram with opposite acute angles from what i remember

A rhombus is a parallelogram which has 4 equal sides.

So you need to know some stuff about a parallelogram.

i know that

Do you know all that stuff?

yup sure do

The diagonals of a parallelogram form a transversal between the parallel sides. Do you know that?

its just when i do the check all that applies i can never really catch which ones are different

okay

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That means that angle 1 is congruent to angle 2

oh alright

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so A is congruent to C

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yes. Angle A is congruent to Angle C

so i check ABD is congruent CBD

On what basis do you say that?

because of the picture about there all congruent to each other no?

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ohh okay i guess not

so AC = BD

oh

i guess

But AB does equal BC because all the sides of a rhombus are congruent.

so the 2nd and 3rd bullet dont make sense so they dont apply

So which ones are you going to check?

so far the 1st and the 4th

Not the 5th one right?

and i think the 5th one applies

not the 6th one

What are AC and BD called?

3 and 4 ? or i dont know

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so its Diagonal got ya

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so wouldnt that one apply

No.

What about number 6?

no i dont believe that one applies

What is AD ?

AD is a side of the rhombus

What is CD?

okay and so is DC

*CD

And what do you know about the sides of a rhombus?

all sides are equal

so 1,4 and 6 apply correct?

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oh okay

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ehh i dont think she'll mind if i explain that to her she will be okay with what we choose

That would be the sensible thing.

thank you so much i appreciate it

You're welcome.