Grade 9 Math: Eccentricity Worksheet
Explore the concept of eccentricity in conic sections with this Grade 9 math worksheet, featuring definitions, calculations, and elliptical properties.
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Grade 9 Math: Eccentricity Worksheet
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Read each question carefully and provide your answers in the space provided. Show all your work for calculation problems.
1. Eccentricity (e) is a measure of how much a conic section deviates from being a .
2. For an ellipse, the eccentricity is always between and .
3. A parabola has an eccentricity equal to .
4. For a hyperbola, the eccentricity is always than 1.
5. An ellipse has a focal length (c) of 4 units and a semi-major axis (a) of 5 units. Calculate its eccentricity.
6. If the eccentricity of an ellipse is 0.8 and its semi-major axis (a) is 10 units, what is the distance from the center to each focus (c)?
7. Which conic section has an eccentricity of 0?
Ellipse
Parabola
Circle
Hyperbola
8. A conic section with an eccentricity of 1.5 is a:
Ellipse
Parabola
Circle
Hyperbola
9. Draw a simple sketch of an ellipse. Label its center, foci (F1, F2), and semi-major axis (a).
10. How does the eccentricity of an ellipse relate to its shape? Describe the shape of an ellipse as its eccentricity approaches 0 and as it approaches 1.