Question

which composition of transformations will create a pair of similar, not congruent triangles? a rotation, then a reflection a translation, then a rotation a reflection, then a translation a rotation, then a dilation

Explanation:

• Rotation, reflection, and translation: These are rigid transformations. Rigid transformations preserve the shape and size of the figure. So, if we perform a rotation, then a reflection or a translation, or a translation then a rotation, the resulting figure will be congruent to the original figure.
• Rotation and dilation: A rotation is a rigid transformation (preserves shape and size) and a dilation is a non - rigid transformation. A dilation changes the size of the figure by a scale factor \(k

eq1\). If \(k > 1\), the figure is enlarged and if \(0eq1\)).

Answer:

a rotation, then a dilation