To find: The relationship between the center of a
Given information:
Describe the relationship between the center of a circle and axis of symmetry of the circle.
Explanation:
The diameter is the line passing through the center of a circle. Any line passing through the center of circle is an axis of symmetry. There are infinite lines passing through the center of circle. Thus, a circle has infinite lines of symmetry.
To find: A conjecture about the center of an ellipse or a hyperbola located in relation to the axes of symmetry.
Given information:
Make a conjecture. What is the center of an ellipse or a hyperbola located in relation to the axes of symmetry. Verify your conjecture with example.
Explanation:
The midpoint of segment joining the foci is center of ellipse. An ellipse has two axes of symmetry. The longer one is major axes and the shorter one is minor axes. The two axes intersect at center of ellipse.
Hyperbola has two axes of symmetry. The center of a hyperbola is given by midpoints of line joining its foci. The axes of symmetry are lines that coincides with transversal and conjugate axes.
The major axis of hyperbola is the line passing through the foci, center and vertices of hyperbola. The minor axis of hyperbola is the line passing through the center of hyperbola and is perpendicular to major axis,
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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