Concept explainers
To find: Whether the statement “The line segment with endpoints on a parabola, through the focus of the parabola, and perpendicular to the axis of symmetry is called the latus rectum” is true or false.
Answer to Problem 5SGR
The statement “The line segment with endpoints on a parabola, through the focus of the parabola, and perpendicular to the axis of symmetry is called the latus rectum” is true.
Explanation of Solution
Given information:
The given statement is “The line segment with endpoints on a parabola, through the focus of the parabola, and perpendicular to the axis of symmetry is called the latus rectum”.
Calculation:
The latus rectum of a parabola is defined as the line segment through the focus of a parabola and perpendicular to the axis of symmetry are called the latus rectum. The endpoint of the latus rectum lie on the parabola. So, the statement is true.
Therefore, the statement “The line segment with endpoints on a parabola, through the focus of the parabola, and perpendicular to the axis of symmetry is called the latus rectum” is true.
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Algebra 2
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