Question

Can someone help me ! please
Triangle LMN is located at L (2, 3), M (1, 2), and N (4, 4). The triangle is then transformed using the rule (x+5, y+2) to form the image L'M'N'. What are the new coordinates of L', M,' and N'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

Answer 1

@lunaone13

Answer 2

Take the original x coordinates and add 5 to it to get the new x coordinates.
Take the original y coordinates and add 2 to it to get the new y coordinates.

Answer 3

i just need help on the second part of this questions

Answer 4

Which is " Describe what characteristics you would find if the corresponding vertices were connected with line segments."

Answer 5

@agent0smith can you help me on the second part of this question?

Answer 6

If the corresponding vertices are connected you will find they are all parallel.

Answer 7

can you show me how I would do that please,so I can be able to understand it a bit more

Answer 8

You can take a graph paper and plot those three points LMN and L'M'N'
connect L and L' ; M ans M' ; and N and N' and you will be able to see it.

Answer 9

Let me see if I can draw some other example her with just 2 points.

Answer 10

i did graph the three points

Answer 11

Did you graph LMN and L'M'N' ?

Answer 12

Yes I did

Answer 13

Join LL', MM' and NN' and see if they are parallel.

Answer 14

ohh ok give me a second

Answer 15

Did i do it right?

Answer 16

I can't open the file. Haven't come across a file with ggb extension before.

Answer 17

oh ok well ill try do it another way then, just give me a second

Answer 18

Oh, geogebra which I don't have on my computer.

Answer 19

yeah "geogebra"

Answer 20

But I can explain what is happening in the drawing I posted.
A is moved to A' by first adding something to its x coordinate (which moves it to C) and then adding something to the y coordinate which moves it to A'
Follow?

Answer 21

The exact same thing is done when moving point B to B'
The same x value is added to B to move it to D and then the same y coordinate is added to move it to B'

Answer 22

thats what i got

Answer 23

They look parallel to me.

But if you want to follow why they are parallel the you can read my explanation so far for my drawing posted above and the next reply.

Answer 24

The slope of AA' = A'C / CA
The slope of BB' = B'D / DB = A'C / CA

The slopes are the same and therefore AA' and BB' are parallel.

Answer 25

ohh ok I understand it now thank you so much for helping me

Answer 26

you are welcome.