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TI-Nspire™
TI-Nspire™ CAS

3.0

# Precalculus: Reflective Property of Conics

by Texas Instruments

#### Objectives

• Students will be able to state the reflection property for a flat surface in terms of the equality of angle of incidence and angle of reflection and apply it to a curved surface (using the tangent line as a flat surface).
• Students will be able to describe the special distance relationships satisfied by any point on each of the three conic sections (parabola, ellipse, and hyperbola) in terms of their foci and/or directrix.
• Students will be able to describe the reflective (carom) properties of each of the three conic sections (parabola, ellipse, and hyperbola) in terms of their foci and/or directrix.

#### Vocabulary

• conic sections (parabola, ellipse, hyperbola)
• tangent line
• angle of incidence
• angle of reflection