Question

Translate the triangle.Then enter the new coordinates.A (3,4)C(-5,0)<4,2>B(-12)A' ([?], [])B'([ ], [ ])C'([ ], [])

Answer 1

Given:

The coordinates of the triangle are A(-3,4), B(-1,2), and C(-5,0).

Required:

We need to translate the given triangle to <4,2> 4 units right and 2 units up.

Step-by-step explanation:

The image of the point can be written as follows.

`(x,y)\rightarrow(x+4,y+2)`

Consider point A(-3,4).

`A(-3,4)\rightarrow A^(\prime)(-3+4,4+2)`
`A(-3,4)\rightarrow A^(\prime)(1,6)`

Consider point B(-1,2).

`B(-1,2)\rightarrow B^(\prime)(-1+4,2+2)`
`B(-1,2)\rightarrow B^(\prime)(3,4)`

Consider point C(-5,0).

`C(-5,0)\rightarrow C^(\prime)(-5+4,0+2)`
`C(-5,0)\rightarrow C^(\prime)(-1,2)`

Final answer:

A'(1, 6), B'(3, 4) and C'(-1, 2).