Question
How many of the following polygons are CONCAVE?
- All are concave
- 1 is concave
- 2 are concave
- 9
None are concave
Hint:
General Synopsis of Polygon.
The correct answer is: 1 is concave
* In mathematics, a polygon is a closed two-dimensional figure made up of line segments.
* Poly means many gon means angle. Hence, polygon is a closed figure that is made of many angles.
*In General there are 4 types of polygons. They are:
Regular Polygon
Irregular Polygon
Convex Polygon
Concave polygon
* Concave Polygon:
If one or more interior angles of a polygon are more than 180 degrees, it is known as a concave polygon. A concave polygon can have at least four sides—the vertex points towards the inside of the polygon.
>>>Given That:
<*>The Interior angle of 3rd figure is greater than 180 degrees.
>>>Hence, there is only one figure is concave.
>>Concave polygon is the polygon that has one of it's interior angle is greater than 180 degrees.
>>>Hence, from the given figure only one object is concave.
Related Questions to study
A nonagon has ________ sides.
>>>The polygon with nine sides is called as nonagon.
A nonagon has ________ sides.
>>>The polygon with nine sides is called as nonagon.
Is the figure a polygon? Is it convex or concave?
>>>The Convex polygon is called as the polygon that has sum of interior angles greater than 180 degrees.
>>>Therefore, the given figure is a convex polygon.
Is the figure a polygon? Is it convex or concave?
>>>The Convex polygon is called as the polygon that has sum of interior angles greater than 180 degrees.
>>>Therefore, the given figure is a convex polygon.
What is the general form of naming a polygon?
One can find this with a small trick. The student should learn to break the word. For example, Hexagon: Hexa+Gon. Now, as we know that hexa is six. Similarly, if a polygon has ‘n’ sides, then the polygon would be named as n-gon.
What is the general form of naming a polygon?
One can find this with a small trick. The student should learn to break the word. For example, Hexagon: Hexa+Gon. Now, as we know that hexa is six. Similarly, if a polygon has ‘n’ sides, then the polygon would be named as n-gon.
Identify whether the angle is acute, obtuse, right or straight
Step 1:
Given angle is equal to 90.
Step 2:
So, the given angle is a right angle.
>>Hence, the angle of measurement is right angle.
Identify whether the angle is acute, obtuse, right or straight
Step 1:
Given angle is equal to 90.
Step 2:
So, the given angle is a right angle.
>>Hence, the angle of measurement is right angle.
Give another name for 
Another name for is 
Give another name for
Another name for is
A polygon with six sides is called a _____.
>>>Polygon with sides meant that it has six angles totally.
>>>Hence, we can say that the Hexagon is the term used to interpret a polygon that has six sides.
A polygon with six sides is called a _____.
>>>Polygon with sides meant that it has six angles totally.
>>>Hence, we can say that the Hexagon is the term used to interpret a polygon that has six sides.
Identify the non-polygon from the following.
Non polygon is the figure that cannot be represented using angles and sides.
>>>Hence, the non-polygon is Circle.
Identify the non-polygon from the following.
Non polygon is the figure that cannot be represented using angles and sides.
>>>Hence, the non-polygon is Circle.
Measure the following angle using a protractor.
Step 1:
We line up one ray with 0°. We then read the angle measurement where the other ray crosses the protractor.
Step 2:
Reading from the protractor, the given angle measures 110°.
>>>Hence, we can say that the angle of measurement is 110 degrees.
Measure the following angle using a protractor.
Step 1:
We line up one ray with 0°. We then read the angle measurement where the other ray crosses the protractor.
Step 2:
Reading from the protractor, the given angle measures 110°.
>>>Hence, we can say that the angle of measurement is 110 degrees.
Measure the following angle using a protractor.
Step 1:
We line up one ray with 0°. We then read the angle measurement where the other ray crosses the protractor.
Step 2:
Reading from the protractor, the given angle measures 60°.
>>>Therefore, the angle of measurement is 60 degrees.
Measure the following angle using a protractor.
Step 1:
We line up one ray with 0°. We then read the angle measurement where the other ray crosses the protractor.
Step 2:
Reading from the protractor, the given angle measures 60°.
>>>Therefore, the angle of measurement is 60 degrees.
Classify each angle as acute, obtuse, right or straight
Step 1:
Given angle is more than 90 and less than 180
Step 2:
So, the given angle is an obtuse angle
>>>Hence, the angle of measurement is an obtuse angle.
Classify each angle as acute, obtuse, right or straight
Step 1:
Given angle is more than 90 and less than 180
Step 2:
So, the given angle is an obtuse angle
>>>Hence, the angle of measurement is an obtuse angle.
Identify whether the angle is acute, obtuse, right or straight
Step 1:
Given angle is more than 90 and less than 180
Step 2:
So, the given angle is an obtuse angle
>>>Therefore, the angle measured is an obtuse angle.
Identify whether the angle is acute, obtuse, right or straight
Step 1:
Given angle is more than 90 and less than 180
Step 2:
So, the given angle is an obtuse angle
>>>Therefore, the angle measured is an obtuse angle.
Measure the following angle using a protractor.
Step 1:
We line up one ray with 0°. We then read the angle measurement where the other ray crosses the protractor.
Step 2:
Reading from the protractor, the given angle measures 45°.
>>>Therefore, the angle of measurement is 45 degrees.
Measure the following angle using a protractor.
Step 1:
We line up one ray with 0°. We then read the angle measurement where the other ray crosses the protractor.
Step 2:
Reading from the protractor, the given angle measures 45°.
>>>Therefore, the angle of measurement is 45 degrees.
Identify the measure of the missing angle?
Let the missing angle be x.
According to Angle Addition Postulate, x + 24 = 180
x = 180 – 24
x = 156
>>>Therefore, the angle of measurement is 156 degrees.
Identify the measure of the missing angle?
Let the missing angle be x.
According to Angle Addition Postulate, x + 24 = 180
x = 180 – 24
x = 156
>>>Therefore, the angle of measurement is 156 degrees.
Identify the correct statement for the following figure.
* Equiangular polygon is the polygon that has equal angles and unequal sides.
Identify the correct statement for the following figure.
* Equiangular polygon is the polygon that has equal angles and unequal sides.
A regular polygon is,
* Regular polygon consists of congruent angles and congruent sides.
A regular polygon is,
* Regular polygon consists of congruent angles and congruent sides.
