We have been given a polygon and we are asked to find type of our given polygon.

You are watching: What type of polygon is shown? convex heptagon concave heptagon concave octagon convex octagon

Let us count sides of our polygon. We can see that our polygon has six sides. So our polygon is a hexagon.

Now let us see that our hexagon is concave or convex. We can see that our hexagon has no angles pointing inwards and none of its internal angle is greater than 180 degrees.

Therefore, our polygon is a convex hexagon and option D is the correct choice.

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.

Answer from: deasiamonay14

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.

Answer from: haleysmith3456

(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.

Answer from: gungamer720

A

Step-by-step explanation:

i just did it on edg

Answer from: christinafish9303

A polygon which made up of 7 line segments and whose all diagonals are in its interior is convex heptagon.

Step-by-step explanation:

We know that

Heptagon is a polygon with seven sides or it is closed figure made up of 7 line segments.

Convex Polygon means Polygons whose all diagonals are in its interior.

Therefore, A polygon which made up of 7 line segments and whose all diagonals are in its interior is convex heptagon.

Answer from: timozy95

concave heptagon.

Step-by-step explanation:

Answer from: ashtonlauber95

concave heptagon.

hope this helps

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