Exploring Reflections

Click the mirror line. Then click "Reflect". What do you notice?

Place the dots on the mirror line on the points (-2, 0) and (2,0). - What are the ordered pairs of the original figure? - What are the ordered pairs of the reflected figure? - What patterns do you notice? - Write a rule to describe this reflection (this is called a reflection over the x-axis).

Place the dots on the mirror line on the points (0, -2) and (0,2). - What are the original ordered pairs of the figure? - What are the new ordered pairs of the reflected figure? - What patterns do you notice? - Write a rule to describe this reflection (this is called a reflection over the y-axis).

Place the dots on the mirror line on the points (-1, -1) and (1, 1). - What are the ordered pairs of the original figure? - What are the ordered pairs of the reflected figure? - What patterns do you notice? - Write a rule to describe this reflection (this is called a reflection over the line y = x).

Place the dots on the mirror line on the points (-1, 1) and (1, -1). - What are the ordered pairs of the original figure? - What are the ordered pairs of the reflected figure? - What patterns do you notice? - Write a rule to describe this reflection (this is called a reflection over the line y = -x ).

Is a reflected figure still congruent to the original figure? Why? or Why not?

What did you learn from this activity?