Question

help me out please. i cant figure it out.

Answer 1

Explanation:

In the given figure:

The coordinates of triangle ABC are:

A = (-3 , 4)

B = (-3 , 0)

C = (-1 , 3)

and

the coordinates of triangle A'B'C' are:

A' = (-2, -3)

B' = ( 2, -3)

C' = (-1 , -1)

(a)

A sequence of transformation that maps triangle ABC to triangle A'B'C' is:

Here we do two transformation:

First we changed 90°counter-clockwise to the origin, then after that the horizontal transformation.

(b)

Find the ordered pair rule for each transformation in the sequence is:

The rule of transformation of 90°counter-clockwise to the origin is:

$(x , y) \rightarrow (-y , x)$

then;

The rule of transformation for horizontal transformation is:

$(x , y) \rightarrow (x+2 , y)$