Question

The cut off part says abc to a'b'c' is a reflection acrossThe options for the first box are Y-axisX-axisLine y= xLine y=-xOptions for the second box are as follows4 units to the right and 10units up8units to the right and 4units up10units to the right and 2units up10units to the right and 4units up

Answer 1

First, we need to identify the coordinates of the points A, B, and C as:

A(-6, 2)

B(-2, 6)

C(-4, 2)

When we reflect it across the line y = x, the rule to get the new coordinates is:

(x, y) ----> (y, x)

Then, if we reflect A, B, and C across the line y=x, we get new point located at:

A(-6, 2) -----> (2, -6)

B(-2, 6) ------> (6, -2)

C(-4, 2) ------> (2, -4)

At the same way, if we translate 10 units to the right and 4 units up, the new coordinates follow the rule:

(x, y) ----> (x + 10, y + 4)

So, if we translate the precious point using this rule, we get:

(2, -6) -------> (2 +10, -6 +4) = (12, -2)