True statements are:
The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint
If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon
The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon
Step-by-step explanation:
* Lets explain what is the polygon
- The polygon is any figure has at least 3 sides
- Every polygon is either convex or concave
- A convex polygon is a polygon with all its interior angles less
than 180°
- All the diagonals of a convex polygon are inside the polygon
- Regular Polygons are always convex
- All concave polygons are irregular
- The polygon is concave if at least one of its internal angles is greater
than 180°
- In a concave polygon, at least one diagonal passes outside the figure.
- A concave polygon must have at least four sides
* Now lets find the true statements about the polygon
- All sides and all angles in a polygon are congruent ⇒ Not true
(Regulars polygons only have equal sides and equal angles)
- The sides of a polygon are segments that intersect exactly two other
segments, one at each endpoint ⇒ True
- In a polygon, all segments with a common endpoint are
collinear ⇒ Not true
(collinear means the angle between them is 180°)
- If all of the sides of a convex polygon are extended, none of them
will contain any points that are inside the polygon ⇒ True
- The extension of at least one side or diagonal in a concave polygon
will contain a point that is inside the polygon ⇒ True
# Look to the attached figures for more understand