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1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
2. Write a rule that will take the triangle to a figure that is similar. Write your rule as (x,y)
3. Write a rule that will take the triangle to a figure that is not similar or congruent. Write
your rule as (x,y)

1 Write A Rule That Will Take The Triangle To A Congruent Triangle Write Your Rule As Xy 2 Write A Rule That Will Take The Triangle To A Figure That Is Similar class=

Sagot :

MrRoyal

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 [tex](x,y) \to (x,-y)[/tex]
  • The rule that will take the triangle to a figure that is similar is [tex](x,y) \to (0.5x,0.5y)[/tex].
  • The rule that will take the triangle to a figure that is not similar or congruent is [tex](x,y) \to (0.5x,2y)[/tex].

Rigid transformation

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:

[tex](x,y) \to (x,-y)[/tex]

So, a rule that will take the triangle to a congruent triangle is [tex](x,y) \to (x,-y)[/tex]

Nonrigid transformation

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:

[tex](x,y) \to (0.5x,0.5y)[/tex]

So, a rule that will take the triangle to a figure that is similar is [tex](x,y) \to (0.5x,0.5y)[/tex]

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 [tex](x,y) \to (0.5x,2y)[/tex].

Read more about transformation at:

https://brainly.com/question/4289712

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