Congruence & Constructions.

Question

A point is fully contained in Quadrant 2. The point is transformed as shown.

·        a reflection over the y-axis  

·        a reflection over the line y = x  

·        a 90° counterclockwise rotation about the origin  

In what quadrant does the resulting point lie? ________________________

Choose any point in quadrant 2 and sketch each transformation on the graph below.

Answer 1

A point is fully contained in Quadrant 2. The point is transformed as shown.

·        a reflection over the y-axis  This will move it to Quadrant 1

·        a reflection over the line y = x   This will still be in Quadrant 1

·        a 90° counterclockwise rotation about the origin  This will move it back to Quadrant 2

In what quadrant does the resulting point lie? Quadrant 2