Question

the hexagon gikmpr and triangle fjn are regular. the dashed line segments form 30 degree angles what is the image of OQ after a 180 degree rotation?

Answer 1

my answer is OJ

Answer 2

the second part is what confuses me its what is the angle of oration about O that maps PQ to GH? O is the center

Answer 3

can i see a picture pls

Answer 4

@dan815

Answer 5

yep oj

Answer 6

but the second part?

Answer 7

ok`

Answer 8

all it wants is how many degrees to rotate and which direction to put pq where gh is

Answer 9

so remember 30 degrees between each pair of cashed lines about the center O

Answer 10

270

Answer 11

dashed*

Answer 12

oh... thought you weren't going to reply haha

Answer 13

240 to the right

Answer 14

oh lol 270

Answer 15

Explanation: There are 9 angles from PQ to GH, right? Then multiply it by 30

Answer 16

I say 270 over 120 because the question specifically states: what is the angle of oration about O that maps PQ to GH not GH to PQ

Answer 17

oh thank you so much i said 240 because i wasn't counting the lines but the spaces

Answer 18

waiy its not 270 sry

Answer 19

If it said GH to PQ the answer would be 120.

Answer 20

it depends on the direction of rotation

Answer 21

Am I confusing you or want me to explain more?

Answer 22

oh okay haha thank you so much you helped so much i get it now umm not sure who to give medal to i can fan one of you? or i have another question about dilations

Answer 23

xD

Answer 24

if it said PQ is HG

Answer 25

Mean GH?

Answer 26

i have a dilation problem its : The dashed triangle is a dilation image of the solod triangle with the center at the origin. Is the dilation an enlargement or reduction? find the scale factor

Answer 27

whattttt??

Answer 28

http://prntscr.com/775d2w

Answer 29

so 240

Answer 30

Ha ha Dan, you know what i meant =D

Answer 31

Can you show us the pic Interrogator?

Answer 32

... but its not 270 thats why i was getting confused...

Answer 33

so i was right? its 240!

Answer 34

if its 120 cw then its gotta be 240 ccw

Answer 35

yes desiri xD

Answer 36

lol yay yes i will attach the pic

Answer 37

You are right. If you don't count the degrees from the staring angle PH then its 240 degrees

Answer 38

so obviously its a reduction but the other stuff i don't know how to show my work

Answer 39

look at the ratio of the sides now

Answer 40

pick one side and see the perimeter on the big one and the small one

Answer 41

Quick guess: 2 is the scale factor. (2x its size)

Answer 42

the original side is 6 and the smaller is 2

Answer 43

look at the verrtical line that is easiest looks like
1.5 to 4.5

Answer 44

err ya 3 to 9

Answer 45

u can simplify further to 2:6 or 1:3

Answer 46

so we got 3 times bigger

Answer 47

right

Answer 48

okay awesome i get it the last one is you have to find the image for the dilation with the center a (0,0) while the scale factor is 4 so how would i do that?

Answer 49

when you scale the lengths of the sides get bigger by that factor

Answer 50

so your perimeter increased by 4 times, what does that mean about tour increaes in radius?

Answer 51

Old Radius = r
Old Perimeter = 2pi*r

NewRadius=?
NewPerimeter=4*2pi*r

what should the new radius be ?

Answer 52

one side is 3.5 so multiplied by 4 is 14 but oh dan this isn't a triangle its and polygon

Answer 53

ya they all work same way so, 4 scale factor means all the side length go bigger by 4

Answer 54

really thats all? it says find the image vertices the sides are 3.5+4=7.5
3+4=7 1.5+4=5.5 1.5+4=5.5

Answer 55

wait wait wait whatt how are u getting those side lengths what are u adding xD

Answer 56

maybe i confused you, they got bigger by 4 timesss

Answer 57

lthe spaces lol you said the side lengths not angles

Answer 58

Back.

So, the scale factor would be 4.5/1.5

Answer 59

xD this kid

Answer 60

Your solving a diff problem?

Answer 61

ya lmao

Answer 62

can u help her with the last question, i g2g

Answer 63

i gtg. in sec brb

Answer 64

oh okay

Answer 65

so i take the vertices and multiply both x,y by 4

Answer 66

i think that should work

Answer 67

yeah that will definately work

Answer 68

by doiing that u pushed all the veritces away by 4 times, u can draw vectors from the point (0,0) to your vertices to see more clearly