Which sequence of transformations creates a similar, but not congruent, triangle?

Rotation and translation

Reflection and rotation

Dilation and rotation

Translation and reflection

Question

Which sequence of transformations creates a similar, but not congruent, triangle?

 Rotation and translation

 Reflection and rotation

 Dilation and rotation

 Translation and reflection

jim_thompson5910 · Answer

hint: this transformation is NOT a rigid motion transformation

jim_thompson5910 · Answer

rigid motion transformations preserve the shape, size, length, area, etc of a figure

anonymous · Answer

would it be reflection and rotation? @jim_thompson5910

aum · Answer

You take a triangle and rotate it about any axis as much as you want.  The size, shape and all measures of the triangle will remain the same at all times.  Therefore the triangles will always stay congruent. Same logic with respect to reflection and translation. But there is one transformation here that will alter the length/shape of the triangle. And when that happens the triangles will no longer be congruent.