If CD is congruent to GH what statement is this?

definition of congruent segments
CPCTC
substitution property of congruence
definition of median

definition of congruent segments

example of a median

what is the example for this?

A median is a line segment drawn from a vertex of a triangle to the midpoint of the opposite side. For example, in triangle ABC, the line segment AD from vertex A to the midpoint D of side BC is a median.

H is the midpoint for EF

is this median?

Yes, if H is the midpoint of the line segment EF, then the line segment EH or FH drawn from one vertex of a triangle (in this case, either vertex E or F) to the midpoint of the opposite side (in this case, H) is a median.

If EF(a segment) is congruent to HF(a segment)

what is this called?

definition of perpendicular segments
congruent angles form a congruent segment
definition of median
reflective property

This is called the definition of a median since a median is a line segment drawn from a vertex of the triangle to the midpoint of the opposite side. In this case, segment EF and HF are congruent and segment EH or FH (that connects one vertex to midpoint) will be the median.

If EF(a segment) is congruent to HF(a segment)

what is this called?

definition of perpendicular segments
congruent angles form a congruent segment
definition of midpoint
reflective property

This is called the definition of midpoint, since the statement indicates that the two line segments EF and HF have the same length, meaning that point H is the midpoint of segment EF. The definition of midpoint states that the midpoint of a line segment is the point that divides the segment into two equal parts.

actually its definition of perpendicular segments