Grade 10 Ellipse Worksheet
This worksheet covers key concepts of ellipses, including their equations, foci, vertices, and graphing.
Includes
Standards
Topics
Grade 10 Ellipse Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the standard form equation of an ellipse centered at the origin?
x²/a² - y²/b² = 1
x²/a² + y²/b² = 1
(x-h)²/a² + (y-k)²/b² = 1
y = ax² + bx + c
2. For an ellipse, which of the following is true about its foci?
They are points on the minor axis.
They are equidistant from the center.
The sum of the distances from any point on the ellipse to the foci is constant.
Both b and c
3. The longest diameter of an ellipse is called the .
4. The distance from the center to a focus of an ellipse is denoted by .
5. Find the vertices and foci of the ellipse with the equation x²/25 + y²/9 = 1.
6. Write the standard form equation of an ellipse with a major axis of length 10 along the x-axis and a minor axis of length 6.
7. Graph the ellipse given by the equation x²/36 + y²/16 = 1. Clearly label the center, vertices, and foci.
8. True or False: The eccentricity of an ellipse is always greater than 1.
True
False
9. True or False: If the major axis is horizontal, then a² is under the x² term in the standard equation.
True
False
10. An elliptical archway is 16 feet wide at its base and 10 feet high in the center. Write the equation of the ellipse that models this archway.
Related Worksheets
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Sigma Notation Practice
A Grade 10 math worksheet focusing on understanding and applying sigma notation for sums and series.
Intercepts Exploration
Explore and identify x-intercepts and y-intercepts of linear equations and graphs.
Equations with Variables on Both Sides
Practice solving linear equations with variables on both sides, including those with fractions and decimals.