anonymous
  • anonymous
Quads 3 please help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
The diagonals intersect at right angles and bisect the corners of the square.|dw:1443056876414:dw|
anonymous
  • anonymous
oh okay

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More answers

anonymous
  • anonymous
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.
anonymous
  • anonymous
okay i still dont get it @peachpi
anonymous
  • anonymous
@Mertsj do you get it?
Mertsj
  • Mertsj
yes
anonymous
  • anonymous
can you explain it?
Mertsj
  • Mertsj
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.
Mertsj
  • Mertsj
|dw:1443059225044:dw|
Mertsj
  • Mertsj
|dw:1443059348234:dw|
anonymous
  • anonymous
oh okay
Mertsj
  • Mertsj
|dw:1443059475757:dw|
Mertsj
  • Mertsj
|dw:1443059540994:dw|
anonymous
  • anonymous
so this shape above is for the 2nd question?
Mertsj
  • Mertsj
|dw:1443059602046:dw|
Mertsj
  • Mertsj
Yes. The second question is about a rhombus.
anonymous
  • anonymous
what about the 1st?
anonymous
  • anonymous
im so lost
Mertsj
  • Mertsj
Do you know what a square is?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
Do you know that all the sides of a square are equal?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
Do you know what a diagonal of a square is?
anonymous
  • anonymous
not so much
Mertsj
  • Mertsj
|dw:1443059854717:dw|
Mertsj
  • Mertsj
|dw:1443059900268:dw|
anonymous
  • anonymous
oh okay got ya
Mertsj
  • Mertsj
|dw:1443059966447:dw|
Mertsj
  • Mertsj
Do you know that diagonals of a square are equal?
anonymous
  • anonymous
yes i do
Mertsj
  • Mertsj
Answer question 1
anonymous
  • anonymous
hk = gj ?
Mertsj
  • Mertsj
You must name the segments the way they are labelled and they are labelled using capital letters.
anonymous
  • anonymous
HK = GJ ?
Mertsj
  • Mertsj
yes.
Mertsj
  • Mertsj
Do you know what perpendicular means?
anonymous
  • anonymous
m
Mertsj
  • Mertsj
yes
Mertsj
  • Mertsj
Do you know that the diagonals of a square bisect the angles?
anonymous
  • anonymous
um sorta
Mertsj
  • Mertsj
Do you know what bisect means?
anonymous
  • anonymous
m
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
yes that is correct for number3
Mertsj
  • Mertsj
Do you know what perimeter is?
anonymous
  • anonymous
yes i do
Mertsj
  • Mertsj
Answer number 4
anonymous
  • anonymous
the answer is 4?
Mertsj
  • Mertsj
How many sides does a triangle have?
anonymous
  • anonymous
3
Mertsj
  • Mertsj
What are the three sides of triangle HJK?
anonymous
  • anonymous
2
anonymous
  • anonymous
12?
Mertsj
  • Mertsj
The three sides are HJ and JK and HK
Mertsj
  • Mertsj
How long is HJ ?
anonymous
  • anonymous
2?
Mertsj
  • Mertsj
How long is JK?
anonymous
  • anonymous
2
Mertsj
  • Mertsj
How long is HK?
anonymous
  • anonymous
2
Mertsj
  • Mertsj
how long is GL?
anonymous
  • anonymous
2
Mertsj
  • Mertsj
Look at the picture. Clearly GH and GL are not labelled with the same number.
anonymous
  • anonymous
\[\sqrt{2}\]
anonymous
  • anonymous
which is 1.41
anonymous
  • anonymous
right
Mertsj
  • Mertsj
Use the exact value. How long is KL ?
anonymous
  • anonymous
\[\sqrt{2}\]
Mertsj
  • Mertsj
How long is KH?
anonymous
  • anonymous
i dont know how to figure that out
Mertsj
  • Mertsj
\[\sqrt{2}+\sqrt{2}=2\sqrt{2}\]
Mertsj
  • Mertsj
Now find the perimeter of triangle HJK
anonymous
  • anonymous
um
Mertsj
  • Mertsj
HJ +JK +HK = \[2+2+ 2\sqrt{2}=4+2\sqrt{2}\]
Mertsj
  • Mertsj
And that is the perimeter.
anonymous
  • anonymous
uhh
Mertsj
  • Mertsj
What does uhh mean???
anonymous
  • anonymous
i dont know how to solve that
Mertsj
  • Mertsj
Solve what?
anonymous
  • anonymous
so thats the perimeter the 2 + 2+ 2 equation
Mertsj
  • Mertsj
\[4+2\sqrt{2}\] is the perimeter and that is what the problem asked you to find.
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
what about the 2nd question
Mertsj
  • Mertsj
The second figure is a rhombus. Do you know what that means?
anonymous
  • anonymous
i know what a rhombus is
Mertsj
  • Mertsj
What is it?
anonymous
  • anonymous
its a parallelogram with opposite acute angles from what i remember
Mertsj
  • Mertsj
A rhombus is a parallelogram which has 4 equal sides.
Mertsj
  • Mertsj
So you need to know some stuff about a parallelogram.
anonymous
  • anonymous
i know that
Mertsj
  • Mertsj
In a parallelogram, the opposite sides and parallel and the opposite angles are congruent and the consecutive angles are supplementary.
Mertsj
  • Mertsj
Do you know all that stuff?
anonymous
  • anonymous
yup sure do
Mertsj
  • Mertsj
The diagonals of a parallelogram form a transversal between the parallel sides. Do you know that?
anonymous
  • anonymous
its just when i do the check all that applies i can never really catch which ones are different
anonymous
  • anonymous
okay
Mertsj
  • Mertsj
If two parallel lines are cut by the transversal, the alternate interior angles are congruent. Do you know that?
Mertsj
  • Mertsj
|dw:1443061913872:dw|
Mertsj
  • Mertsj
|dw:1443061950637:dw|
Mertsj
  • Mertsj
That means that angle 1 is congruent to angle 2
anonymous
  • anonymous
oh alright
Mertsj
  • Mertsj
|dw:1443061999682:dw|
anonymous
  • anonymous
so A is congruent to C
Mertsj
  • Mertsj
|dw:1443062058029:dw|
Mertsj
  • Mertsj
yes. Angle A is congruent to Angle C
anonymous
  • anonymous
so i check ABD is congruent CBD
Mertsj
  • Mertsj
On what basis do you say that?
anonymous
  • anonymous
because of the picture about there all congruent to each other no?
Mertsj
  • Mertsj
|dw:1443062227396:dw|
anonymous
  • anonymous
ohh okay i guess not
anonymous
  • anonymous
so AC = BD
Mertsj
  • Mertsj
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.
anonymous
  • anonymous
oh
Mertsj
  • Mertsj
That is another thing these two problems show: In a square the diagonals are congruent but not in a rhombus.
anonymous
  • anonymous
i guess
Mertsj
  • Mertsj
But AB does equal BC because all the sides of a rhombus are congruent.
anonymous
  • anonymous
so the 2nd and 3rd bullet dont make sense so they dont apply
Mertsj
  • Mertsj
So which ones are you going to check?
anonymous
  • anonymous
so far the 1st and the 4th
Mertsj
  • Mertsj
Not the 5th one right?
anonymous
  • anonymous
and i think the 5th one applies
anonymous
  • anonymous
not the 6th one
Mertsj
  • Mertsj
What are AC and BD called?
anonymous
  • anonymous
3 and 4 ? or i dont know
Mertsj
  • Mertsj
|dw:1443062676347:dw|
anonymous
  • anonymous
so its Diagonal got ya
Mertsj
  • Mertsj
|dw:1443062765075:dw|
anonymous
  • anonymous
so wouldnt that one apply
Mertsj
  • Mertsj
No.
Mertsj
  • Mertsj
What about number 6?
anonymous
  • anonymous
no i dont believe that one applies
Mertsj
  • Mertsj
What is AD ?
Mertsj
  • Mertsj
AD is a side of the rhombus
Mertsj
  • Mertsj
What is CD?
anonymous
  • anonymous
okay and so is DC
anonymous
  • anonymous
*CD
Mertsj
  • Mertsj
And what do you know about the sides of a rhombus?
anonymous
  • anonymous
all sides are equal
anonymous
  • anonymous
so 1,4 and 6 apply correct?
Mertsj
  • Mertsj
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.
Mertsj
  • Mertsj
|dw:1443063106522:dw|
anonymous
  • anonymous
oh okay
Mertsj
  • Mertsj
|dw:1443063191291:dw|
Mertsj
  • Mertsj
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?
anonymous
  • anonymous
ehh i dont think she'll mind if i explain that to her she will be okay with what we choose
Mertsj
  • Mertsj
That would be the sensible thing.
anonymous
  • anonymous
thank you so much i appreciate it
Mertsj
  • Mertsj
You're welcome.

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