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14)
The vertices of AABC are A(-4,4), B(-2,5), and C(-5,2).
If AABC is reflected across the line y-axis to produce the
image AA'B'C', what are the coordinates of each of the
vertices of AA'B'C' ?

Answer 1

Given:

The vertices of ΔABC are A(-4,4), B(-2,5), and C(-5,2).

The triangle ABC is reflected across the line y-axis to produce the image ΔA'B'C'.

To find:

The coordinates of ΔA'B'C'.

Solution:

If a figure is reflected across the y-axis, then

`(x,y)\to (-x,y)`

Using this rule, we get

`A(-4,4)\to A'(4,4)`

`B(-2,5)\to B'(2,5)`

`C(-5,2)\to C'(5,2)`

Therefore, the vertices of the ΔA'B'C' are A'(4,4), B'(2,5) and C'(5,2).