Table of Contents
Identify Angles of polygons
A polygon is a two-dimensional flat form with entirely closed straight sides. Straight sides mean that the sides don’t have any curved lines as part of their shape. Polygons can also have any number of sides. Given below are examples of the different kinds of polygons.
An angle is defined as the figure created by two rays meeting at a common point in geometry. The symbol “∠” is used to symbolize an angle. The angle shown here is AOB.
A right angle is formed when two straight lines intersect at 90 degrees or are perpendicular to one other at the point where the two rays or arms of the angle meet. The symbol “∟” is used to indicate a right angle.
Right angles are not just observed in geometry books and math textbooks. They are found in everyday objects as well. The following everyday objects are marked with right angles.
Even if you look at the hands of clock, right angles can easily be observed.
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Questions
Question 1: For the following sets of images, identify if the shape is a polygon or not. If it is a polygon identify, how many angles and right angles it has.
Square: It is a polygon as it has four sides. It has 4 right angles.
Circle: It is not a polygon
Equilateral Triangle : It is a polygon and it has 3 right angles
Rectangle: It is a polygon and it has four right angles.
Scalene triangle: A scalene triangle is a triangle with three angles.
Pentagon: A pentagon is a shape with 5 sides, hence, it is a polygon and it has five angles.
Right triangle: A right triangle is a polygon as it has three sides. It has one right angle and two other angles as well, that are smaller than the right angle.
Trapezium: A trapezium is a polygon and it has four angles.
Kite: A kite is a polygon as it has four sides and has four angles.
Parallelogram: It is a polygon as it has four sides as well as four angles.
Ellipse: Not a polygon.
Trefoil: Not a polygon.
Star: A star is a polygon as it has 10 sides. It also has 10 angles.
Semi-circle: It is not a polygon.
Hexagon: It is a polygon as it has six sides. It also has 6 angles.
Crescent: It is not a polygon.
Octagon: It is a polygon as it has eight sides. It has eight angles.
Cross: It has 9 sides. It also has 12 angles of which 8 of them are right angles.
Ring: A ring is not a polygon.
\( \frac{3}{4} \)th of a ring: It’s not a polygon.
Heart: It also is not a polygon
Arrow: It is a polygon with seven sides. It has two right angles and 5 other angles as well.
Quatrefoil: A quatrefoil is not a polygon.
Rhombus: It is a polygon with four sides and it has four angles.
Question 2: For the following sets of angles and sides, draw two polygons each.
1)Four angles, four sides.
2)Ten angles, ten sides
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No, all 2D shapes are not polygons, the shapes should have straight lines as their sides to be a polygon. 2D shapes with curved sides are not considered to be polygons.
A triangle is different from a square because a triangle is a polygon that has three sides and three angles. The square on the other hand, is a polygon that has four angles and four sides.
A circle is not a polygon as it has a curved side, or boundary.
A right angle can be identified by checking if the measure of the angle between two given lines is 90 degrees.
Squares and rectangles have four right angles. This is because each of the angles in either a square or a rectangle measures 90 degrees.