Atransformation of δdef results in δd'e'f'. which transformation maps the pre-image to the image? the transformation is a dilation. the transformation is a reflection. the transformation is a rotation. the transformation is a translation.

Rotation

Step-by-step explanation:

A transformation of a triangle can be either dilation or reflection or rotation or a translation.

Dilation happens when a symmetric figure is formed with scale factor other than 1.  But here both triangles have same side length.  Hence no dilation

Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on  a line.  Hence no reflection

Rotation is keeping the same shape but rotating through a certain angle.  Here DEF is rotated without disturbing its shape or size through a certain angle. Hence rotation is right

Translation is not right because there is no vertical or horizontal shift to get new triangle.

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3