Question

What is the single transformation rule that takes ABC onto ABC?3.4.8642]2]4]6]8]10]5C''510B''A''

Answer 1

For exercise 3, we have the triangle ABC and transform to A'B'C'. In this transformation there is a translation of ABC to 5 units to left and 3 unit to down, so:

`(x,y)\to(x-5,y-3)`

Then the transformation A'B'C' to A''B''C'' is a rotation in the x-axis, so the values of x in each point remind equal and the y value change to -y:

`(x,y)\to(x,-y)`

For excercise 4, the triangle ABC transform to A'B'C' by a rotation in y-axis, so the values oy y in each point remind equal and the x value change to -x:

`(x,y)\to(-x,y)`

Then the transformation A'B'C' to A''B''C'' is a rotationof 90 degrees in clockwise, so the value of x change to the value of y and the value of y change to the value of -x:

`(x,y)\to(y,-x)`