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Mathematics 8 Online
OpenStudy (ayyookyndall):

HEELLPPP!!!

jimthompson5910 (jim_thompson5910):

Does it give you the coordinates of each point? It seems like each point doesn't have whole number coordinates (which means we'd have to make estimates)

OpenStudy (ayyookyndall):

Thats what my questions asked. So I guess we will have to...

jimthompson5910 (jim_thompson5910):

so what's one possibility for point A? where is A located right now?

OpenStudy (ayyookyndall):

-3, 1

jimthompson5910 (jim_thompson5910):

yeah that's possible I guess

jimthompson5910 (jim_thompson5910):

A = (-3,1)

jimthompson5910 (jim_thompson5910):

to do the scaling, we multiply all its coordinates by 4

jimthompson5910 (jim_thompson5910):

A = (-3,1) A' = (-3*4, 1*4) A' = (-12, 4)

jimthompson5910 (jim_thompson5910):

do the same for B, C and D

jimthompson5910 (jim_thompson5910):

I agree with that

jimthompson5910 (jim_thompson5910):

now apply the scale factor

OpenStudy (ayyookyndall):

Correct?

jimthompson5910 (jim_thompson5910):

you are correct

OpenStudy (ayyookyndall):

And thats it?

jimthompson5910 (jim_thompson5910):

yep you just multiply every coordinate by 4 to get your new points A', B', C' and D'

OpenStudy (ayyookyndall):

Isn't it a translation image of the other? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

yeah you shifted it up or down (depending on which one you picked to start with)

OpenStudy (ayyookyndall):

So I choose to start with the top one. All I explain is that you can shift it down? Is there another explanation? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

Yeah if you start with the top figure, you shift it down some number of units.

OpenStudy (ayyookyndall):

Thats it for that question? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (ayyookyndall):

The dilation is a reduction, correct? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes because the dashed image is smaller

jimthompson5910 (jim_thompson5910):

"Find the scale factor of the dilation. "

jimthompson5910 (jim_thompson5910):

hint: focus on the red points

OpenStudy (ayyookyndall):

So its x2?

OpenStudy (ayyookyndall):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

which red points did I mark?

OpenStudy (ayyookyndall):

The tips of the triangles.

jimthompson5910 (jim_thompson5910):

what are the coordinates?

OpenStudy (ayyookyndall):

The little triangle (-1,0) The big triangle (-6,0)

jimthompson5910 (jim_thompson5910):

remember the tick marks are going by 2 (not 1)

OpenStudy (ayyookyndall):

So x5?

jimthompson5910 (jim_thompson5910):

you made an error with the little triangle

jimthompson5910 (jim_thompson5910):

the tick marks are going by 2 (not 1)

OpenStudy (ayyookyndall):

Oop so its x4

jimthompson5910 (jim_thompson5910):

The little triangle (-1,0) ... incorrect The big triangle (-6,0) ... correct

OpenStudy (ayyookyndall):

The little triangle (-2,0)

OpenStudy (ayyookyndall):

So the scale factor would be x4

jimthompson5910 (jim_thompson5910):

you go from (-2,0) to (-6,0) fill in the blank -2 times _______ = -6

OpenStudy (ayyookyndall):

-2 times 4 = -6

jimthompson5910 (jim_thompson5910):

-2 times 4 is not -6

jimthompson5910 (jim_thompson5910):

you might be thinking of 2 + 4 = 6

OpenStudy (ayyookyndall):

Oops I meant 3

jimthompson5910 (jim_thompson5910):

yep so the scale factor is 3

jimthompson5910 (jim_thompson5910):

oops no

jimthompson5910 (jim_thompson5910):

1/3 because the larger figure is getting smaller

OpenStudy (ayyookyndall):

Where did you get 1/3 from?

jimthompson5910 (jim_thompson5910):

well you multiply the coordinates of (-6,0) by 1/3 to get (-2,0)

jimthompson5910 (jim_thompson5910):

since we go from big to small

jimthompson5910 (jim_thompson5910):

going in reverse is x 3 (flip the fraction 1/3 to get 3)

OpenStudy (ayyookyndall):

So the scale factor is not 3?

jimthompson5910 (jim_thompson5910):

if it was 3, then the dashed image would be larger than the original

OpenStudy (ayyookyndall):

So the scale factor is 1/3

OpenStudy (ayyookyndall):

@jim_thompson5910 ?

jimthompson5910 (jim_thompson5910):

yep 1/3

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