20
QuizMultiple Choice

Angle Measures of Polygons — Quiz

Question 20 • Geometry

Which statements are true about polygons? Choose three correct answers.

Answer
A
If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
B
In a polygon, all segments with a common endpoint are collinear.
C
All sides and all angles in a polygon are congruent.
D
The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
E
The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.

Explanation

A concave polygon has an inward “dent,” so the extension of at least one side or diagonal can pass through the polygon’s interior. In a polygon, each side meets exactly two other sides, one at each endpoint, making C true. For a convex polygon, the line extending any side stays on the boundary or outside the interior, so D is true. B describes a regular polygon, not every polygon, and sides meeting at a common endpoint are not necessarily collinear.

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