Question

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)

Answer 1

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

Explanation:

Given

`A = (-4,-1)`

`B = (-3,-5)`

`C =(-1,-1)`

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:

`(x,y) \to (x + 4,y)`

So, we have:

`A = (-4,-1)` ==>
`(-4+4,-1) =(0,-1)`

`B = (-3,-5)` ==>
`(-3+4,-5) =(1,-5)`

`C =(-1,-1)` ==>
`(-1+4,-1) =(3,-1)`

3 units up

The rule is:

`(x,y) \to (x,y+3)`

So, we have:

`(0,-1)` ==>
`A' =(0,-1+3) = (0,2)`

`(1,-5)` ==>
`B' =(1,-5+3) = (1,-2)`

`(3,-1)` ==>
`C' =(3,-1+3) = (3,2)`

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

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

See attachment for graph