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. 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. A

Step-by-step explanation:

i just did it on edg

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.

concave heptagon.

Step-by-step explanation:

concave heptagon.

hope this helps

### Another question on Mathematics

Mathematics, 21.06.2019 13:00
Sal is tiling his entryway. the floor plan is drawn on a unit grid. each unit length represents 1 foot. tile costs \$1.35 per square foot. how much will sal pay to tile his entryway? round your answer to the nearest cent.
Mathematics, 21.06.2019 18:30
Sketch one cycle if the cosine function y=2cos2theta
Mathematics, 21.06.2019 19:10
The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?
Mathematics, 22.06.2019 01:00
Two trains leave stations 546 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 115 miles per hour l. how long will it take for the two trains to meet
What type of polygon is shown? convex heptagon concave heptagon concave he...
Questions
Biology, 28.10.2019 17:31
5. which one is produced by meiosis? a. sperm b. egg c pollen grain d. all of the above...
English, 28.10.2019 17:31
In chapter 2, myrtle makes a few impulsive purchases. name one....
Chemistry, 28.10.2019 17:31
Protein kinases are atp-dependent enzymes that facilitate which covalent modification to a protein?...
Biology, 28.10.2019 17:31
Amuscle fiber develops its maximum tension when it is in what position at the moment it is stimulated?...
Physics, 28.10.2019 17:31
Pluto’s diameter is approximately 2370 km, and the diameter of its satellite charon is 1250 km. although the distance varies, they are often about 19,...
Mathematics, 28.10.2019 17:31
Apilot was scheduled to depart at 4: 00 pm, but due to air traffic, her departure has been delayed by 10 minutes. air traffic control approved a new f...
English, 28.10.2019 17:31
Which excerpt from part 2 of the odyssey is cited properly in mla style? "last of them all my ram, the leader, came, / weighted by wool and me with m...
History, 28.10.2019 17:31
3. in what areas was the united states a leader after the war?...
Chemistry, 28.10.2019 17:31
Asample of seaweed contains two liters of water and has 100 grams of salt dissolved in its cells. the seaweed is placed in a bucket with 4 liters of w...
Physics, 28.10.2019 17:31
An atom of arsenic has how many electron-containing orbitals...
Mathematics, 28.10.2019 17:31
Organism a and b start out with the same population size. organism a"s population doubles everyday. after 5 days, the population stops growing, a viru...
Mathematics, 28.10.2019 17:31
Solve this equation to find the value of x that makes the statement true. 8x − 8 = 4x + 12...
Mathematics, 28.10.2019 17:31
Use the following sample to estimate the population proportion of american citizens who are currently unemployed. cities employed un...
Mathematics, 28.10.2019 17:31
Math study island ! will mark brainiest....
History, 28.10.2019 17:31
Each temple in ancient greece had a central room that housed? ?...
History, 28.10.2019 17:31
History for the period between 600 and 8000 bce and neolithic revolution - summarize the major turning points or “game changers” of this period...
Mathematics, 28.10.2019 17:31
Profit is always calculated as revenue minus expenses. if a company’s expenses were \$10 million, write an equation that expresses profit, p, (in milli...
English, 28.10.2019 17:31
3. (a) recall: what lesson does dolan say she learned from carrying her own skis? (b) connect: in what other aspects of life does the a...
Mathematics, 28.10.2019 17:31
state what additional information is required in order to know that the triangles are congruent for the reason given . geometry.
Biology, 28.10.2019 17:31
Which statement describes the reaction for cellular respiration? the equation is carbon dioxide + water - glucose + oxygen + water and energy i...
More questions: MathematicsAnother questions
See results (0)
Email
Too short question
Next
Email
Next
Email
OkClose
Email
Question
Pick a subject
Question sent to expert. You will receive an answer to the email.

See more: Am I The Only One Around Here Meme Generator, Am I The Only One Around Here

OK
Cancel anytime.