Felicia found a copy of a puzzle like the one in problem 6-1, but the lock is missing. All she has are the starting points and the moves to unlock the lock. This time her key is shaped like a triangle.

The points are at

Step 1: Translate 4 units to the right and 2 units up.
Step 2: Reflect across the x-axis
Step 3: Rotate counter-clockwise 90° about point .

Help Felicia find out where the lock is by following her steps. The following questions are designed to help you.

With your team, set up your own coordinate grid on graph paper. The questions below will help.

How many quadrants (regions) should the graph have? Should it be a graph with only the first quadrant? Or a graph with four quadrants?

How should the axes be scaled? How many units should you use for each side length of a grid square?

Plot triangle to represent the key.

Follow Step 1 to translate the triangle. Name the new location of each vertex, or corner, of the triangle in the form .

Complete Step 2. Sketch the triangle in its new position and label the coordinates of each vertex.

Where does Felicia’s triangle end up? Complete Step 3 on the graph and label the coordinates of each vertex.