To construct a line passing through point C that is parallel to the line AB, Han constructed the perpendicular bisector of AB and then drew line CD. Is CD guaranteed to be parallel to AB? Explain how you know.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

i think it might be a but you might want a second opinion