Analyze each statement to see if there is a figure that matches de description.
A) Polygon, convex hexagon.
Notice that the second image corresponds to this description.
B) Polygon, convex quadrilateral.
There are no convex quadrilaterals shown in the figures.
C) Not a polygon.
A polygon is a plane figure described by a finite number of straight line segments, which is a closed circuit. Two lines may intersect but only at their endpoints. Therefore, the first image is not a polygon.
D) Polygon, concave hexagon.
A concave polygon is a polygon which is not convex. A Polygon is convex if given any two points on the boundary, the line segment between them never falls outside the polygon. Notice that the fourth image has 6 sides but it is not convex.
E) Polygon, concave quadrilateral.
The third picture corresponds to a non-convex quadrilateral.
F) Polygon, regular quadrilateral.
There are no regular quadrilaterals shown in the pictures.
Therefore, we have that:
Picture 1 ---> C
Picture 2 ---> A
Picture 3 ---> E
Picture 4 ---> D