Question

Fold a paper 8time in any ways . unfold and locate various convex and concave polygons

Answer 1

Answer:

Examples of convex polygons:

In the adjoining figure of a parallelogram there are four interior angles i.e., ∠BAD, ∠ADC, ∠DCB and ∠CBA. None of the four interior angles is greater than equal to 180° and no portion of the diagonals lies in the exterior.

Convex Polygon Parallelogram

In the adjoining figure of a rectangle there are four interior angles i.e., ∠CBA, ∠DCB, ∠ADC and ∠BAD. None of the four interior angles is greater than equal to 180°.

Convex Polygon Rectangle

In the adjoining figure of a pentagon there are five interior angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB. None of the five interior angles is greater than equal to 180°.

Convex Polygon Pentagon

In the adjoining figure of a triangle there are three interior angles i.e., ∠ABC, ∠BCA, and ∠CAB. None of the three interior angles is greater than equal to 180°.

Convex Polygon Triangle

Concave polygon:

If at least one angle of a polygon is more than 180°, then it is called a concave polygon.

Examples of concave polygons:

In the adjoining figure of a hexagon there are six interior angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFA and ∠FAB. Among the six interior angles, ∠CDE is greater than 180°.

Concave Polygon Hexagon

In the adjoining figure of a septagon there are seven interior angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFG, ∠FGA and ∠GAB. Among the seven interior angles, ∠DEF is greater than 180°.

Concave Polygon Septagon