A triangle has the following side lengths: 4cm, 4cm, and 4cm. What kind of triangle is it?

An equilateral triangle, which is a triangle where all the three sides have the same/equal length and the same angles.

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

Dilation is a transformation which maps the triangle into similar triangle, so

Thus,

Similar triangle have congruent corresponding angles, so

and proportional corresponding sides

Thus, correct options are: