Here are a selection of resources i have made on translation where the students are thinking about the effects of the transformations on the co-ordinates. These can be drawn but students will have a chance to notice patterns and see how each transformation changes the x and y co-ordinate. The mixed starter is one that combines all the transformations that produce congruent shapes.TranslationRotationEnlargement with Negative Scale Factor
Here’s a mixed transformation starter. I used Geogebra to show the solutions but students don’t need to draw them to solve this. I Encourage students to think about what will happen to the coordinates after a reflection etc.