# What type of polygon is shown?

What type of polygon is shown? convex heptagon concave heptagon concave hexagon convex hexagon

Can you give me a picture of the polygon?

It is a convex hexagon Step-by-step explanation:

The correct option is 1. Explanation: A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the line connecting the two vertices are lies completely inside the heptagon. In the figures the black points shows the vertices. Reason for correct option: In figure 1 there are 7 angles, 7 sides and 7 vertices and the lines joining any two vertices are lies inside the figure, therefore it is an convex heptagon and option 1 is correct. Reason for incorrect option: In figure 2 and 3 the number of vertices and sides are 8, therefore the figure shows the octagon and option 2 and 3 are in correct. In figure 4 the number of vertices and sides are 7 but there axis a line which connecting the two vertices and lies outside the figure as shown in below figure, therefore the option 4 is incorrect.

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The correct option is 1. Explanation: A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the line connecting the two vertices are lies completely inside the heptagon. In the figures the black points shows the vertices. Reason for correct option: In figure 1 there are 7 angles, 7 sides and 7 vertices and the lines joining any two vertices are lies inside the figure, therefore it is an convex heptagon and option 1 is correct. Reason for incorrect option: In figure 2 and 3 the number of vertices and sides are 8, therefore the figure shows the octagon and option 2 and 3 are in correct. In figure 4 the number of vertices and sides are 7 but there axis a line which connecting the two vertices and lies outside the figure as shown in below figure, therefore the option 4 is incorrect.

(B) step by step explanation: Convex Octagon: A convex octagon has no angles pointing inwards. Also, no internal angles can be more than 180°. Concave Octagon: When any internal angle is greater than 180° it is concave. Convex heptagon: A convex heptagon is a seven-sided polygon in which we can connect any two of its vertices with a line segment. Concave heptagon: If any internal angle is greater than 180° then the polygon is concave. Now, in the given figure, it can be seen that the number of the sides are seven and also one angle is greater than 180° , thus the given figure is concave heptagon. Hence, option B is correct.

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