Question

The hexagon GIKMPR and Triangle FJN are regular. The dashed line segments form 30 (degrees) angles.

What is the image of Line OQ after a rotation of 180 (degrees)?

a. Line ON
b. Line OH
c. Line OJ
d. Line OL

Answer 1

@StudyGurl14 @Data_LG2

Answer 2

Each section between the dotted lines represents 30 degrees. You want a rotation of 180 degrees. How many 30 degree sections are in 180 degrees?

Answer 3

Also...180 degrees. means straight line...hint hint...

Answer 4

Its Line OJ, correct?

Answer 5

Correct. Nice job

Answer 6

This question goes with the graph:

What is the angle of rotation about O that maps Line PQ and Line GH?

a. 240
b. 150
c. 210
d. 270

Answer 7

count how many dotted lines are between them and multiply by 30 degrees

Answer 8

Between what?

Answer 9

(start at P and count how many dotted lines till you hit G)

Answer 10

So I count Q too?

Answer 11

yep

Answer 12

SO I count every line then multiply by 30?

Answer 13

yep

Answer 14

Thats equals 810 though...

Answer 15

no...count each line between P and G....

Answer 16

Which is 120 degrees

Answer 17

correct. Then, since 120 is not an answer choice...do 360 - 120

Answer 18

What about Q and H?

Answer 19

Can you explain the last question to me? @jim_thompson5910

Answer 20

ok because there are so many points and it's quite easy to lose PQ, GH, I recommend marking the segments with different colors like so

Answer 21

Okay, so how do we solve it? Just like what studygirl said?

Answer 22

P is the first letter in PQ
G is the first letter in GH

so P maps to G

mark the points P and G, and focus on just them
I've drawn a central angle as well

Answer 23

the answer will be equal to that central angle

Answer 24

angle POG

Answer 25

So it would be 240?

Answer 26

nope

Answer 27

hint: you have a bunch of equilateral triangles

Answer 28

But the dashed line segments form 30 (degrees) angles.

Answer 29

I got 120

Answer 30

I'm referring to this

Answer 31

yes, you have two 60 degree angles added

60+60 = 120

Answer 32

Okay, so whats next.

Answer 33

120 is your answer since you rotate P 120 degrees clockwise to get to G (same for Q to get to H)

Answer 34

But how? 120 is not one of my answer choices...

Answer 35

120 degrees clockwise = 240 counterclockwise

since 120+240 = 360