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What Is a Diagonal of a Quadrilateral?

publish date: 2026/05/15 10:53:27.189025 UTC

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Study the figure below. The dashed lines drawn inside quadrilateral ABCD are called its diagonals.

Based on the figure, which statement correctly defines a diagonal of a polygon?

A side of the polygon.

A segment that joins two nonconsecutive vertices of the polygon.

A line drawn through the midpoint of a side.

The longest side of any polygon.

Correct Answer

A segment that joins two nonconsecutive vertices of the polygon.

Explanation

A diagonal of a polygon is a segment that joins two nonconsecutive (non-adjacent) vertices. Quadrilateral ABCD has exactly two diagonals: \(\overline{AC}\) (joining A and C) and \(\overline{BD}\) (joining B and D).

Reference

Mathematics for college students

Quizzes you can take where this question appears

Classify quadrilaterals