Question

1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)

Answer 1

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

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:

$(x,y) \to (x,-y)$

So, a rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$

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:

$(x,y) \to (0.5x,0.5y)$

So, a rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$

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 $(x,y) \to (0.5x,2y)$.

Read more about transformation at:

brainly.com/question/4289712