Here are 4 triangles that have each been transformed by a different transformation.

Which transformation (1, 2, 3, or 4) is not a rigid transformation?

How do you know?

Post your answer and explanation to the space below.

Here are 4 triangles that have each been transformed by a different transformation Which transformation 1 2 3 or 4 is not a rigid transformation How do you know class=

Respuesta :

This is about understanding rigid transformations.

Option 4 is not a rigid transformation.

  • In mathematics, transformation could be;

Rigid Transformation; This includes reflection, rotation, translation.

Non - Rigid Transformation; This includes dilation and shear.

  • Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.

Whereas, it is termed non - rigid transformation if the shape or size changes.

Let us look at the triangles in the option;

  • Option 1; In this  option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 2; In this  option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.

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