Composition of Transformations Activity

Translate the triangle 7 units left and 3 units down. *Note: You are moving the orange point with the word drag above it.] What is the coordinate notation for this transformation?

Next, reflect the new triangle over the x-axis. *Note: Make sure you click on the button that says "I need another transformation" first. What is the coordinate notation for this transformation?

What is the coordinate notation that will take you from the original triangle to the third triangle? [Hint: Think about the order in which we did the transformations.]

Place point A at the coordinates (3, 5). What will be the image of A be after a rotation of 90 degrees counter-clockwise followed by a translation 5 units up? Be sure to type your answer as an ordered pair.

Raphael and Michelangelo were both asked to use coordinate notation to describe the result of a translation 4 units left and 1 unit up, followed by a reflection across the y-axis. Raphael wrote the following notation: (x,y) -> (-x + 4, y + 1). Donatello wrote the following notation: (x,y) -> (-[x - 4], y + 1). Who is correct?

Use the applet below to answer this question. Describe the combination of transformations that could have occurred going from the gray triangle to the the pink triangle.

Is there another way to get the same transformation to happen as in question 3? If so, explain your sequence of transformations. Use the applet below to explore.