Transforming a shape involves changing the size and/or the location of the shape.
- The rule that will take the triangle to a congruent triangle is
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
- The rule that will take the triangle to a figure that is similar is
. - The rule that will take the triangle to a figure that is not similar or congruent is
.
<h3>Rigid transformation</h3>
When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.
An example of a rigid transformation is a reflection over the x-axis; and the rule is:
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
So, a rule that will take the triangle to a congruent triangle is ![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
<h3>Nonrigid transformation</h3>
When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar
An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:
![(x,y) \to (0.5x,0.5y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%280.5x%2C0.5y%29)
So, a rule that will take the triangle to a figure that is similar is ![(x,y) \to (0.5x,0.5y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%280.5x%2C0.5y%29)
However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.
A rule that will take the triangle to a figure that is not similar or congruent is
.
Read more about transformation at:
brainly.com/question/4289712