6
YA
Triangle ABC has vertices A(-4,-1), B(-3,-5), C(-1, -1). Graph and label the vertices of ABC
and its image A'B'C' after translating it to 4 units right and 3 units up. Choose the correct
ordered pairs of the image A'B'C'.
(2 Points)
O A'(4.1), B (3,5), C' (1.1)
O A'(0,2), B(1, -2). C'(3.2)
O A'(0.2), B (1,2), C'(-3,-2)

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-04-30T05:16:40+02:00

Answer:

A'(0,2), B(1, -2). C'(3,2)

Step-by-step explanation:

Given

[tex]A = (-4,-1)[/tex]

[tex]B = (-3,-5)[/tex]

[tex]C =(-1,-1)[/tex]

Solving (a); Graph and Label ABC

See attachment for graph

Solving (b): Graph and Label A'B'C'

Translation:

4 units right

3 units up

4 units right

The rule is:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]A = (-4,-1)[/tex] ==> [tex](-4+4,-1) =(0,-1)[/tex]

[tex]B = (-3,-5)[/tex] ==> [tex](-3+4,-5) =(1,-5)[/tex]

[tex]C =(-1,-1)[/tex] ==> [tex](-1+4,-1) =(3,-1)[/tex]

3 units up

The rule is:

[tex](x,y) \to (x,y+3)[/tex]

So, we have:

[tex](0,-1)[/tex] ==> [tex]A' =(0,-1+3) = (0,2)[/tex]

[tex](1,-5)[/tex] ==> [tex]B' =(1,-5+3) = (1,-2)[/tex]

[tex](3,-1)[/tex] ==> [tex]C' =(3,-1+3) = (3,2)[/tex]

The coordinates of A' B' and C' are:

A'(0,2), B(1, -2). C'(3,2)

See attachment for graph