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Reflecting on Slope

Reflecting the Line

Reflect Line AB across the line y = 8. Also reflect the slope triangle across y = 8.

Question 4

How do the slope triangle shown for Line AB and its image (a slope triangle for Line A'B') compare?

Question 5

Are the slopes of Line AB and Line A'B' equal? Explain why or why not.

Question 6

Move your line of reflection up or down and also try vertical lines of reflection. What is the effect on slope when you reflect a line across a horizontal or vertical line of reflection?

Further Exploration:

1. Explore what happens when you reflect Line AB across the line y = x. 2. You can also change the pre-image line by moving Points A and B. Do the relationships you noticed before still hold?