Question

Which rigid transformation(s) can map triangleabc onto triangledec? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation

Answer 1

The rigid transformations that can map triangle ABC onto triangle DEC are reflection, then rotation; reflection, then translation; and rotation, then translation.

Step-by-step explanation:

The transformations that can map triangle ABC onto triangle DEC are:

1. Reflection, then rotation: Reflection over a line followed by a rotation about a point can transform one triangle into another. For example, you could reflect triangle ABC over a line to create triangle A'B'C', and then rotate triangle A'B'C' around a point to obtain triangle DEC.
2. Reflection, then translation: Reflection over a line followed by a translation can also map one triangle onto another. In this case, you could reflect triangle ABC over a line to obtain triangle A'B'C', and then translate triangle A'B'C' to get triangle DEC.
3. Rotation, then translation: Alternatively, you could rotate triangle ABC about a point to create triangle A'B'C', and then translate triangle A'B'C' to obtain triangle DEC.

It is not possible to map triangle ABC onto triangle DEC using rotation followed by dilation.

Answer 2

It is not the answer above, so I believe it is a reflection followed by a rotation.

B. reflection, then rotation.

See the image below for more: