Asequence of transformations maps triangle abc to triangle a’b’c’. the sequence of transformations that maps triangle abc to triangle a’b’c’ is a reflection across the

- y-axis
- x-axis
- line y=x
or - line y=-x

by a translation

- 4 units to the right and 10 units up
- 8 units to the right and 10 units up
- 10 units to the right and 2 units up
or - 10 units to the right and 4 units up.

Reflection across the line y=x followed by translation 10 units to the right and 4 units up.

Step-by-step explanation:

Triangle ABC has vertices at points A(-6,2), B(-2,6) and C(-4,2).

1. The reflection across the line y=x has the rule

(x,y)→(y,x).

Thus,

2. The translation 10 units to the right and 4 units up has the rule

(x,y)→(x+10,y+4).

Thus,

Points A'B'C' are exactly the vertices of the triangle A'B'C'.