Question

Patricia is completing a sequence of transformations on the given triangle .Patricia performs the following:1. reflect across the y-axis2. (x,y) (x-4,y-1)where would c" be located following a reflection across the y-axis and the given translation?

Answer 1

You have a triangle ABC with the folowing points:

A(1,1)

B(5,1)

C(1,5)

Patricia performs the following sequence of transformations on the triangle ABC:

- Reflects across the y-axis

- Translation four units to the left, one unit downward.

In order to determine the position of C'' after the tranformations Patricia made, you consider that a reflection around y-axis implies:

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

thus, for such a reflection, you have for point C:

C (1 , 5) => C' (-1 , 5)

Next, the translation Patricia made implies:

(x,y) => (x-4,y-1)

thus, for the new position of C' point you have:

C' (-1 , 5) => C'' (-1 - 4, 5 - 1) = C'' ( -5 , 4)

Hence, C'' is located at point (-5 , 4) after the transformations Patricia made.