Introduction: 

Let we see about polygon congruent sides,

 In this content we will work on recognize polygons that are congruent, matching congruent sides and angle. It is used to also see how the area of a location changes while the dimensions of the sides are all changed by a constant scaling factor. We will also seen at how the volume of a solid changes while the dimensions of the solid are changed by a constant scaling factor. 

 

 

Definitions about polygen congruent sides:

 

Let we see about definitions of polygon congruent sides,

  • Two polygons may be congruent when they having equivalent sides. 
  • Two polygons may be congruent when they having equivalent angel.
  • Two sides are congruent if they having the equivalent length and angles are congruent when they having the similar measure.
  • We point out that angles are congruent by putting the same number of slash marks through each angle. 
  • Congruent polygons want to have the equal shape and the equal size. They must have the qual number of sides.
  • The location which they reside may differ and rotating or flipping congruent polygons does not change the fact that they are congruent

 

Examples:

 

 1)Consider the polygon shown below.

Find which one of the following could be congruent to the above parallelogram.

Solution:

 First observe that polygon A having three sides but the given polygon has 4 sides. So, these cannot be congruent. Polygons B having the similar number of sides to given polygon, but the congruent angles in polygon B are adjacent but the congruent angles in the given polygon are opposite angles. Polygon B may not be congruent to the given polygon. Polygon C has four sides, and the opposite angles are congruent, now similar to the given polygon. Polygon C is congruent to the given polygon. 

Answer: Polygon C is congruent to given polygon.

 

2)Consider the polygon shown below.

Find which one of the following could be congruent to the above parallelogram.

Solution:

Polygon B has four sides, and the opposite angles are congruent, now similar to the given polygon. Polygon B may be congruent to the given polygon. Since, when rotating a polygon B which is not changes their shape. So polygon B is congruent to given polygen.

Answer: Polygon B is congruent to given polygon.