Question

PLEASE HELP ME

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.

Answer 1

Reflection in the x-axis followed by a translation 5 units left and 1 unit up

Explanation:

The coordinates of X are (-6,2).

When we reflect in the x-axis we get X'=(-6,-2)

When we translate by the rule T(x-5,y+1), we get X"=(-6-5,-2+1)=(-11,-1)

The coordinates of Y are (-4,7).

When we reflect in the x-axis we get Y'=(-4,-7)

When we translate by the rule T(x-5,y+1), we get Y"=(-4-5,-7+1)=(-9,-6)

The coordinates of Z are (-2,2).

When we reflect in the x-axis we get Z'=(-2,-2)

When we translate by the rule T(x-5,y+1), we get Z"=(-2-5,-2+1)=(-7,-1)

Therefore the sequence of transformation is a reflection in the x-axis followed by a translation 5 units left and 1 unit up.