Question

usTranslate the triangle.Then enter the new coordinates.A.(3,1)A'([?], []).B'([],[]).C'([],[])(2, 4) (4-3)BC<-6,2 >Enter

Answer 1

You have to translate the triangle ABC using the following translation rule:

`(x,y)\to(x-6,y+2)`

Subtracting 6 to the x-coordinate results in a horizontal translation of 6 units to the left.

Adding 2 to the y-coordinate results in a vertical translation of 2 units up.

To determine the coordinates of A'B'C' you have to subtract 6 units to each x-coordinate and add 2 to each y-coordinate of the vertices of ABC

The coordinate of the vertices are

A(3,1)

B(4,-3)

C(2,-4)

Now you can calculate the translation as follows

A(3,1) → A'(3-6,1+2)=(-3,3)

B(4,-3) → B'(4-6,-3+2)=(-2,-1)

C(2,-4) → C'(2-6,-4+2)=(-4,-2)