In excercises 13 and 14, the vertices of triangle ABC are A(-4,4) B(-1,2) and C(-4, 1). Find the vertices of triangle A"B"C" after a composition of transformations in the order they are listed.

13. Translation: (x,y)-----(x+3, y-2)
Translation: (x,y)-----(x-1, y+4)

14. Translation: (x,y)-----(x+2, y+1)
Reflection: In the x-axis.

Question

In excercises 13 and 14, the vertices of triangle ABC are A(-4,4) B(-1,2) and C(-4, 1). Find the vertices of triangle A"B"C" after a composition of transformations in the order they are listed. 

13. Translation: (x,y)----->(x+3, y-2)
      Translation: (x,y)----->(x-1, y+4)

14. Translation: (x,y)----->(x+2, y+1)
      Reflection: In the x-axis.

ammarah · Answer

@ganeshie8

ammarah · Answer

@whpalmer4

ammarah · Answer

@Callisto

ganeshie8 · Answer

13. Translation: (x,y)----->(x+3, y-2)
      Translation: (x,y)----->(x-1, y+4)

these two can be combined into one : (x,y)----->(x+2, y+2)

ganeshie8 · Answer

you just need to move the original triangle to right by 2 units, and up by 2 units.

add 2 to all coordinates of vertices

ammarah · Answer

wait i dont get it...can u just plug in each of the vertices into the x=3, y-2 and x-1, y+4?

ammarah · Answer

so like the first transformation would be A(-1,2) B(2,0) C(-1,-1)>? idk what it means by the order they are listeedd...

ganeshie8 · Answer

thats correct after first transformation. do the second transformation also, then il tell what A B C are :)

ammarah · Answer

and the second one would be A(-5,8)B(-2,6) C(-5,5)

ganeshie8 · Answer

nope, you need to do second one on the first one

ganeshie8 · Answer

take what u got after first transformation, and do second transformation on that

ammarah · Answer

ohhkay so thats it? i mean is that all u have to do?

ganeshie8 · Answer

yes !

ammarah · Answer

Okay so my final answer would be: A(-1,2) B(2,0) C(-1,-1)
                                                    A(0,1) B(1,-1) C(0,3)

ammarah · Answer

okay what about number 14...

ganeshie8 · Answer

wait

ganeshie8 · Answer

2nd transformation u did wrong

ganeshie8 · Answer

Okay so my final answer would be: A(-1,2) B(2,0) C(-1,-1) 
                                                          A(-1-1,2+4) B(2-1,0+4) C(-1-1,-1+4)
                                                           A(-2, 6) B(1, 4) C(-2, 3)

ammarah · Answer

ohkay for number 14.....so i did the same thing with the translation and i got A(-2,5)B (1,3) C(-2,2)
but how do u find the reflection in the x-axis?

ganeshie8 · Answer

thats correct after first transformation

ganeshie8 · Answer

reflection in x axis : flip the y-coordinate sign

ganeshie8 · Answer

(x, y) ---> (x, -y)

ammarah · Answer

so A(-2,-5)B(1,-3)C(-2,-2)

ganeshie8 · Answer

thats right !

ganeshie8 · Answer

good work :)