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Mathematics 8 Online
OpenStudy (anonymous):

A similar toy figure is represented by hexagon TUVWXY. What is the ordered pair of point W on hexagon TUVWXY?

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

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

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

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

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?

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

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

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

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?

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

OpenStudy (anonymous):

okay

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