MATH SOLVE

9 months ago

Q:
# Which sequence of transformations creates a similar but not congruent triangle? (5 points) Rotation and reflection Reflection and translation Translation and rotation Dilation and reflection

Accepted Solution

A:

Answer:Dilation and reflectionStep-by-step explanation:The operations:RotationReflectionTranslationdo NOT change the actual dimensions of the triangle's sides, the side lengths remain the same, so the triangles remain congruent. On the other hand, if one includes Dilation in the transformations, the triangle's sides get augmented in side (although proportional), therefore, the new triangle is not congruent with the original one, although due to proportionality of the dilation process, it remains "similar" to the original one.Bottom line: the transformation listed as "Dilation and reflection" is the one that creates a similar but not congruent triangle.