A triangle with a perimeter of 13 centimeters is rotated and reflected in the coordinate plane. What is the perimeter of the resulting image?

Respuesta :

Answer:

The perimeter of the resulting image is 13 centimeters

Step-by-step explanation:

we know that

Rotation, reflection and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem we have rotation and reflection

therefore

The perimeter of the resulting figure is the same of the original figure

We need to know about the perimeter of the rectangle.

Perimeter of rectangle

The perimeter of a rectangle is given as twice the sum of its length and breadth.

[tex]\rm{ Perimeter =2(length+breadth)[/tex]

The perimeter of the resulting image is still 13cms.

Explanation

Given to us,

  • the perimeter of the rectangle is 13 cm,

Solution

As we know, the rotation of any polygon in the coordinate plane does not make a change in its perimeter or the area. because the distance between the points remains the same.

Similarly, When we reflect a polygon in the coordinate plane, it does not make a change in its perimeter or the area. because the distance between the points remains the same.

Hence,  the perimeter of the resulting image is still 13cms.

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