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Dilating a triangle changes the size of the triangle but does not change its shape. true or false?

Sagot :

Answer;

The correct answer is true

Explanation;

  • Dilation is a type of transformation which stretches and reduces the size of the original figure.
  • A dilation has a center of dilation and a dilation scale factor. If the scale factor is less than one then the original size will shrink, and if the scale factor is greater than one then the figure will increase in size.
  • Dilation transformation does not alter the shape of a figure but  alters the size by making it bigger or smaller.

Answer:

True.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether our given statement is true or false.    

Statement:

Dilating a triangle changes the size of the triangle but does not change its shape.

We know that dilation changes the size of the image as dilation enlarges or shrinks a given image.

We also know that dilation does not change the shape of figure. Therefore, our given statement is true.

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