Question

The vertices of triangle PQR on a coordinate grid are P(2, 1), Q(2, -3), and R(-1, -1). Provide the coordinates of the vertices A, B, and C of triangle ABC that is similar to PQR and explain why the two triangles are similar.

Answer 1

@zepp lol if you happen to be bored

Answer 2

Close that Nicki Minaj >:(

Answer 3

xD It was starships xD I only like starships and super bass lolol

Answer 4

omg ew

Answer 5

Now I'm listening to Brooke Fraser xD

Answer 6

>.>

Answer 7

lololol

Answer 8

Bah that's easy, just move the triangle somewhere else on the graph

Answer 9

But how do I know if they are still similar?

Answer 10

You made a translation

Answer 11

?

Answer 12

That's a translation, you simply move the triangle somewhere else on the graph.

Answer 13

Is this okay?

Answer 14

For instance, you can go for \(\large (x\rightarrow -5,~y \rightarrow +2)\)

Answer 15

The yellow dots

Answer 16

o.o that's wrong

Answer 17

oh :(

Answer 18

Actually, it's right

Answer 19

You made a translation and a reflexion

Answer 20

Okay so say I move everything over.
Do I do the same for each thing? Take for instance all x's add 3 and all y's add 3? Kind of thing.

Oh. I don't think I'm supposed to make a reflexion. Idk if it matters though. They just need to be similar, I guess

Answer 21

yeah

Answer 22

zepp go to the twidd

Answer 23

Are the red dots okay?

Answer 24

Yup, reds dots are cool

Answer 25

Okay. How would I mathematically explain how they are similar?

Answer 26

'I made a translation, which doesn't affect its dimensions, it only changed place in the graph'

Answer 27

lol and basically just say I moved everything over by 3?

Answer 28

yup, moved +3 on x-axis.

Answer 29

Oh, wait do you think I can "get away" with that as similar, if they are actually congruent?

Answer 30

huh?

Answer 31

Hmm, all congruent stuff are automatically similar, but not vice-versa -.-

Answer 32

You should make the triangle bigger or smaller in this case.

Answer 33

So now I can do like +(3,2) to everything?

Answer 34

If you want it to be only similar, then you need a 'magnification' - multiply all the coordinates by some real no. 'k', for example, say '2'. The new coordinates would be those of the similar triangle. (and no more a congruent one, *sigh*)

Answer 35

:'(

Answer 36

y so sad, goformit? :(

Answer 37

multiply everything by 2? Like this....
The blue dots

Answer 38

oops I took one of the green dots off on accident

Answer 39

The top and the left dots aren't correct