A similar toy figure is represented by hexagon TUVWXY. What is the ordered pair of point W on hexagon TUVWXY?
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OpenStudy (anonymous):
here is the image.
OpenStudy (anonymous):
OpenStudy (hang254):
i cant see the picture
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
notice how point O and point P are 2 units apart
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OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
Then notice how U and V are 4 units apart
jimthompson5910 (jim_thompson5910):
So every distance is doubled
OpenStudy (anonymous):
okay.. im still not getting how to get the point of W :\
jimthompson5910 (jim_thompson5910):
i'm getting there
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jimthompson5910 (jim_thompson5910):
Now notice how to go from point P to point Q, you go down 5 and over to the left 2
jimthompson5910 (jim_thompson5910):
point Q corresponds to point W
So to get point W, you start at point V and go down 10 and over to the left 4 (double every number in that last post)
jimthompson5910 (jim_thompson5910):
tell me what you get
OpenStudy (anonymous):
(3,-7) ?
jimthompson5910 (jim_thompson5910):
good
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OpenStudy (anonymous):
so that's the answer?
jimthompson5910 (jim_thompson5910):
yes it is
OpenStudy (anonymous):
thankyou(:
jimthompson5910 (jim_thompson5910):
you'll see that VW has the same slope of PQ, so the similarity is preserved
jimthompson5910 (jim_thompson5910):
you're welcome
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OpenStudy (anonymous):
it was wrong.....
jimthompson5910 (jim_thompson5910):
hmm let me go over it again, one sec
OpenStudy (anonymous):
ok.. im going to post another pic. hold on
jimthompson5910 (jim_thompson5910):
post what you typed in as well please
OpenStudy (anonymous):
A similar toy figure is represented by hexagon TUVWXY. What is the ordered pair of point W on hexagon TUVWXY?
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OpenStudy (anonymous):
and i typed (3,-7)
jimthompson5910 (jim_thompson5910):
start at (6,5) and go down 10 and to the left 4
jimthompson5910 (jim_thompson5910):
maybe you just need to type the numbers and not the parenthesis??
OpenStudy (anonymous):
2,-5?
jimthompson5910 (jim_thompson5910):
good
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OpenStudy (anonymous):
& Note: You must include parentheses and a comma when typing the ordered pair.)
jimthompson5910 (jim_thompson5910):
oh ok, then nvm that
OpenStudy (anonymous):
Which statement is correct about the two pentagons?
They are similar because the ratio of corresponding sides of pentagon DEFGH to pentagon IJKLM is 1:2.
They are similar because the ratio of corresponding sides of pentagon DEFGH to pentagon IJKLM is 2:1.
They are not similar because The ratio of Segment HD to Segment MI. is 1:2, and The ratio of Segment FG to Segment KL.is 2:1.
They are not similar because The ratio of Segment HD to Segment MI. is 2:1, and The ratio of Segment FG to Segment KL.is 1:2.
jimthompson5910 (jim_thompson5910):
how long is the segment FG ?
OpenStudy (anonymous):
8? 0.o
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jimthompson5910 (jim_thompson5910):
and what about KL ?
OpenStudy (anonymous):
4
.
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
is the answer B?
jimthompson5910 (jim_thompson5910):
you are correct, the larger pentagon is twice is large as the smaller pentagon
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OpenStudy (anonymous):
one more...
OpenStudy (anonymous):
Is octagon ABCDEFG a regular polygon? Why or why not?
No, because sides Segment AB , Segment CD , Segment EF , and Segment GH have a length of 3 units, and sides Segment BC , Segment DE , Segment FG , and Segment HA have a length of 4 units.
Yes, because all sides have a length of 4 units.
No, because sides Segment AB , Segment CD , Segment EF , and Segment GH have a length of 3 units, and sides Segment BC , Segment DE , Segment FG , and Segment HA have a length of Two times the square root of two. units.
Yes, because all sides have a length of 3 units
OpenStudy (anonymous):
i got A...
jimthompson5910 (jim_thompson5910):
no it's not A
OpenStudy (anonymous):
d?
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jimthompson5910 (jim_thompson5910):
no, not d either
jimthompson5910 (jim_thompson5910):
the diagonal pieces aren't 3 units
OpenStudy (anonymous):
blahh :\ iddkkkk
jimthompson5910 (jim_thompson5910):
it's C because the diagonals are actually \(\Large 2\sqrt{2}\) units long
jimthompson5910 (jim_thompson5910):
you can use the Pythagorean theorem to find this length
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