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OpenStudy (anonymous):
Write a translation rule that maps point D(7, -3) onto point D'(2, 5).
OpenStudy (anonymous):
@MathLegend
OpenStudy (mathlegend):
One sec
OpenStudy (anonymous):
OK, thnks
OpenStudy (mathlegend):
Do you know how to find the slope?
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OpenStudy (anonymous):
No...
OpenStudy (mathlegend):
D(7, -3) onto point D'(2, 5)
Lets subtract D' - D
X-values... 2-7 = ?
Y-values... 5-(-3) = ?
OpenStudy (mathlegend):
@Pretty_Princesses what do your x and y values equal?
OpenStudy (anonymous):
Ok......
2-7 =5
5-(-3) = 8
OpenStudy (mathlegend):
x-value = -5
y-value = 8
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OpenStudy (anonymous):
oops forgot the - sign.
OpenStudy (mathlegend):
To write that... we simply do this...
(x-5, y+8)
OpenStudy (anonymous):
Do I solve it^^^^^?
OpenStudy (mathlegend):
Oh, no I did it backwards!
OpenStudy (anonymous):
oh ok
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OpenStudy (mathlegend):
x-values... 7-2 = 5
y-values... -3-5 = -8
Right?
OpenStudy (mathlegend):
(x+5, y-8)
OpenStudy (mathlegend):
The reason I knew I did it backwards was by plotting the point and following the rule.
OpenStudy (anonymous):
Right.
OpenStudy (mathlegend):
Make sense?
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OpenStudy (mathlegend):
That is your rule.
OpenStudy (anonymous):
Yes it does.
OpenStudy (anonymous):
I get it.
OpenStudy (anonymous):
I have a other problem is that OK? @MathLegend
OpenStudy (anonymous):
Which of the images above represents a poof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.
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OpenStudy (anonymous):
OpenStudy (mathlegend):
Do notice the each leg of the triangle? I want you take picture 1... and add up the legs and tell me if they equal the hypotenuse... then do the same for the 2nd picture. Tell me which one equals the hypotenuse.
OpenStudy (anonymous):
ok please wait....
OpenStudy (mathlegend):
will do :)
OpenStudy (anonymous):
For the 1st one do I add the numbers like 64^2 + 36^2 + 9^2 = 5, 473 ? ? ?
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OpenStudy (mathlegend):
No, the numbers they give you are already squared. So simply add them.
OpenStudy (anonymous):
oh oh oh .... I'm lost !
OpenStudy (mathlegend):
Lets take the 1st picture...
OpenStudy (anonymous):
Ok.
OpenStudy (mathlegend):
Leg 1 = 9
Leg 2 = 36
Hypotenuse = 64
Does...
9 + 36 = 64 ?
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OpenStudy (anonymous):
mmmm.... no
OpenStudy (anonymous):
No. it = 45
OpenStudy (mathlegend):
Okay, so that is not Pythagorean theorem.
OpenStudy (mathlegend):
What about the other one...
Leg 1 = 25
Leg 2 = 144
Hypotenuse = 169
25 + 144 = 169
Does that work out good?
OpenStudy (anonymous):
Yes. it does
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OpenStudy (mathlegend):
So that means it follow Pythagorean theorem....
OpenStudy (anonymous):
yes
OpenStudy (mathlegend):
It shows you that
\[a ^{2}+b ^{2}=c ^{2}\]
OpenStudy (mathlegend):
The original of ...
25 + 144 = 169
is
\[5^{2}+12^{2}=13^{2}\]
If you took the square root of the first set of numbers.
OpenStudy (mathlegend):
Understand @Pretty_Princesses ?
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