Math  /  Geometry

QuestionThe latus rectum of an ellipse is a line segment perpendicular to the major axis and passes through one of the foci. True False

Studdy Solution

STEP 1

1. We are dealing with the geometric properties of an ellipse.
2. The latus rectum is defined in the context of an ellipse.
3. The major axis is the longest diameter of the ellipse.
4. The foci are two fixed points on the interior of the ellipse.

STEP 2

1. Define the latus rectum in the context of an ellipse.
2. Determine the relationship between the latus rectum and the major axis.
3. Evaluate the truth of the statement based on the definition.

STEP 3

Define the latus rectum in the context of an ellipse:
The latus rectum of an ellipse is a line segment that is perpendicular to the major axis and passes through one of the foci.

STEP 4

Determine the relationship between the latus rectum and the major axis:
The latus rectum is indeed perpendicular to the major axis and passes through one of the foci of the ellipse.

STEP 5

Evaluate the truth of the statement based on the definition:
The statement is true.
The statement is:
True \boxed{\text{True}}

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