Determine whether the figures are similar.
If so, determine the scale factor

- anonymous

Determine whether the figures are similar.
If so, determine the scale factor

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- anonymous

##### 1 Attachment

- myininaya

|dw:1438909408931:dw|

- mathmate

Hint:
If the figures are similar, then
the corresponding sides are in proportion, i.e.
(longer side of image)/(longer side of preimage)=(shorter side of image)/(shorter side of preimage)=

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## More answers

- anonymous

i got 2.33333 and 2.5

- myininaya

if those aren't the same number then they aren't similar

- myininaya

if those were the same number then they would be similar

- anonymous

a. yes; scale factor = 2/5
b. yes; scale factor = 9/21
c. yes; scale factor = 3/7
d. no

- myininaya

well we just said 2.3333 was not the same as 2.5

- anonymous

d?

- myininaya

yep! :)

- anonymous

thankss

- myininaya

np

- myininaya

and I love the way @mathmate put it

- anonymous

can you help me with a few more?

- myininaya

i can try

- anonymous

Quadrilateral WXYZ has the following vertices:
W (2,3)
X (1,1)
Y (3,0)
Z (5,2)

- myininaya

Does the question say what it is looking for?

- myininaya

Like are they looking for the object being reflected about some line?

- anonymous

Select the correct graph of the figure & its image after a transformation 180 degrees about the origin.

- myininaya

when you think 180 deg think a half turn
let's look at just Z in the first picture...
|dw:1438910171720:dw|
does the angle formed here look like 180 deg?

- myininaya

remember you should a straight line
something like this: /, \, |, or _

- myininaya

|dw:1438910341194:dw|

- myininaya

do you see why?

- myininaya

it has to be a line
that is not a line
it it didn't have that little pointy thing at the bottom we would be golden

- myininaya

let's look at the second graph and you can tell me what you think
I will graph just the Z points again

- myininaya

|dw:1438910446622:dw|
the third graph
|dw:1438910583808:dw|
last graph
|dw:1438910636536:dw|
which graph shows a straight line from Z to Z'?

- anonymous

last one

- myininaya

agreed!
straight lines have 180 deg angles

- anonymous

right!

- myininaya

also a neat little trick
if a point has been rotated 180deg about the origin
the point (A,B) becomes (-A,-B)

- myininaya

if you notice Z was (5,2) in that one pic
and Z' was (-5,-2) in that one pic you chose

- anonymous

okay, so the answer is z?

- myininaya

the answer is the last picture
or whatever choice this is http://assets.openstudy.com/updates/attachments/55c4007ee4b0f6bb86c3c83e-blueeyes13-1438909865901-44.jpg

- anonymous

Thank you so much

- myininaya

np

- myininaya

have a good day @BlueEyes13 :)

- anonymous

same to you :D

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