Transformation involves changing the size and position of a shape.
The transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]
From the complete question (see attachment), we have the following observations.
- DEF is first rotated 90 degrees counterclockwise
- Then translated to the left by 5 units
The 90 degrees counterclockwise rotation is represented as:
[tex]\mathbf{R0,90^o(x, y)}[/tex]
The left translation by 5 units is represented as:
[tex]\mathbf{T-5,0(x, y)}[/tex]
When both transformations are combined, we have:
[tex]\mathbf{T-5,0 \circ R0,90^o(x, y)}}[/tex]
Hence, the transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]
Read more about transformations at:
https://brainly.com/question/11709244
