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The Foci of a Hyperbola

Topic:
Hyperbola

This worksheet illustrates the relationship between a hyperbola and its foci. Move the yellow point along the hyperbola.

What are the red points called?

As you trace the yellow point along the hyperbola, what aspect of the green line segment does not change?

What fact does the previous question/answer demonstrate? Hint: Note that the blue line segments are identical in length.