Question

Your Turn! Triangle ABC is located at A (1,3), B(4,1) and (3, 4). Perform the following sequence of transformations Reflection across the line y=x, translation right S units and down 3 units, 90° rotation about the origin, A (1,3) A'=A"=A"'= B( 4,1)B'=B"=B"'=C(3,4)C'=C"=C"'=

Answer 1

A', A'', A''' means the coordinate where the point A is ending at after the transformation.

A',B' and C' will be after the first transformation (reflection accros the line y=x)

First reflection inverts the points.

A'=(3,1) B'=(1,4) C'=(4,3)

Second transformation, you start from the last points and begin by in every x poisition for every point you should add 5 on every point, and on the y position goes down

A''=(3+5,1-3)

A''=(8,-2) , B''=(6,1) C''=(9,0)

Third transformation, rotation 90° around the origin.

we know that degrees are measured counter-clockwise and 90° will turn the figure sideways.

There is a formula to determine the new position in which

A=(X,Y) A'=(Y,-X)

Apply this to the last points you have.

A'''=(-2,-8) B'''=(1,-6) C'''=(0,-9)