Quads 3 please help

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Quads 3 please help

Mathematics
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1 Attachment
The diagonals intersect at right angles and bisect the corners of the square.|dw:1443056876414:dw|
oh okay

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Other answers:

for the rhombus, all sides are always congruent, so that's the 4th and 6th. diagonals aren't necessarily congruent, so not the 5th. the third b/c diagonals bisect corners. opposite angles are congruent so the 1st but not the 2nd.
okay i still dont get it @peachpi
@Mertsj do you get it?
yes
can you explain it?
The figure is a square. All the sides are equal. The angles of the square and all right angles. The diagonals bisect the angles of the square and so they are all 45 degrees. The diagonals bisect each other and the diagonals are congruent.
|dw:1443059225044:dw|
|dw:1443059348234:dw|
oh okay
|dw:1443059475757:dw|
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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
|dw:1443059854717:dw|
|dw:1443059900268:dw|
oh okay got ya
|dw:1443059966447:dw|
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?
m
yes
Do you know that the diagonals of a square bisect the angles?
um sorta
Do you know what bisect means?
m
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?
3
What are the three sides of triangle HJK?
2
12?
The three sides are HJ and JK and HK
How long is HJ ?
2?
How long is JK?
2
How long is HK?
2
how long is GL?
2
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
In a parallelogram, the opposite sides and parallel and the opposite angles are congruent and the consecutive angles are supplementary.
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
If two parallel lines are cut by the transversal, the alternate interior angles are congruent. Do you know that?
|dw:1443061913872:dw|
|dw:1443061950637:dw|
That means that angle 1 is congruent to angle 2
oh alright
|dw:1443061999682:dw|
so A is congruent to C
|dw:1443062058029:dw|
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?
|dw:1443062227396:dw|
ohh okay i guess not
so AC = BD
That is one of the things these two problems is trying to teach you: In a square, the diagonals bisect the angles but not in a rhombus.
oh
That is another thing these two problems show: In a square the diagonals are congruent but not in a rhombus.
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
|dw:1443062676347:dw|
so its Diagonal got ya
|dw:1443062765075:dw|
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?
I would say so but now here is a technicality to consider and you will have to make a judgment call based upon what you know about your teacher.
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oh okay
|dw:1443063191291:dw|
So you see that technically, 4 and 6 should have the lines over the top of the letters to indicate that they are segments. But I don't know if that is important to your teacher in this context or not. What do you think?
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.

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