Question

Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′. (10 points)

Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
Draw a line through points L and L′ and through M and M′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points N and N′? How do you know?

Answer 1

need help asap

Answer 2

is this a test?

Answer 3

why lol

Answer 4

well, the question says `'(10 points)'` so I just wanted to know if it was a test :)

Answer 5

hw

Answer 6

ok, so where is the triangle LMN?

Answer 7

thats all i got theres no image

Answer 8

ah ok, so im assuming that your teacher wants you to make a triangle yourself.

are you familiar www.geogebra.org ?

Answer 9

yeah i have used it once a while back

Answer 10

ok, so start by making your triangle... what will your points be?

once you get your points, you will then need to rotate the triangle 180º

if you are confused about rotating it 180º, the rule is

(x,y) → (-x,-y)

Answer 11

i can choose any points?

Answer 12

yup, any points can work :)

Answer 13

ok 3,5

Answer 14

ok..

L(3,5)

what about point M and N

Answer 15

3,9

Answer 16

wait no 4,6

Answer 17

L(3,5)
M(3,9)
N(4,6)

are those your chosen points?

Answer 18

sure

Answer 19

ok, so using the rule I gave you above, what would your points lie located after rotating it 180º?

Answer 20

i have to graph those points on the website right

Answer 21

yea you can, it will be easier for you...

so did you find out what L'M'N' is?

Answer 22

website is kinda confusing

haven't used it in a long time

Answer 23

its alright... if you cant use it, its fine, you can graph the triangle by hand instead...


Now lets rotate the triangle 180º

Rule:
(x,y) → (-x,-y)

L(3,5) → L'(__,__)
M(3,9) → M'(__,__)
N(4,6) → N'(__,__)


in other words... all you have to do to it make the numbers negative

Answer 24

is*

Answer 25

so basically (-3,-5)

Answer 26

correct, now do that for all the other points

Answer 27

(-3,-9) and (-4,-6)

Answer 28

correct!! so basically, it should look like this

Answer 29

okay yeah

Answer 30

thats it now i just describe what i did?

Answer 31

not necessarily, now you are describing the transformation itself...

so ask yourself these questions... (these are just a few)

did my triangle change its shape?
did my triangle change its size?
did my triangle change its orientation?

Answer 32

okay
my triangle did not change shape
my triangle did not change size
and i think it did change it orientation

Answer 33

Great!! can you describe anything else...?

Answer 34

what happened to your points??

did the numbers stay the same?
did my numbers stay positive?
did my numbers become negative?

Answer 35

the number became negatives

Answer 36

they were positive before rotation 180 degrees

Answer 37

Good job!!

So you have answered the first part, now lets go onto the second....

I went ahead and drew the line for you since you said you had some trouble.

what do you notice about the lines?

Answer 38

they go through the middle i forgot what it was called

Answer 39

the origin i think

Answer 40

I agree, they go through (0,0) which is the `origin`

Answer 41

yeah

Answer 42

now, how about N and N'... does the same thing happen too?

Answer 43

yeah all of the lines pass through the origin

Answer 44

That's right!! You answered both questions, so you are done!

Great job! :D

Answer 45

:)

Answer 46

thank you very much

Answer 47

you're welcome and have a great day :)

also, welcome to question cove!!

Answer 48

i appreciate it