MATH SOLVE

3 months ago

Q:
# A sequence 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=xOR - line y=-x...followed 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 upOR - 10 units to the right and 4 units up.

Accepted Solution

A:

Answer: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,A(-6,2)→A''(2,-6);B(-2,6)→B''(6,-2);C(-4,2)→C''(2,-4).2. The translation 10 units to the right and 4 units up has the rule(x,y)→(x+10,y+4).Thus,A''(2,-6)→A'(12,-2);B''(6,-2)→B'(16,2);C''(2,-4)→C'(12,0).Points A'B'C' are exactly the vertices of the triangle A'B'C'.