If two triangles are similar, then the ratio of the lengths of their corresponding medians is equal to the ratio of the lengths of their corresponding angle bisectors.
What is confusing me with this question is isn't an angle bisector a type of median? Since the median is technically dividing an angle wouldn't this be case? Since I believe they are the same it would be obvious to me the ratios are the same since it would be the same lengths.
Well it could be confusing but consider the angle bisector as an angle divider and a median as a side divider ,where the angle divider doesn't always divide the opposite side equally but always divides its angle equally,and a side divider will arise from an angle but won't always divide the angle equally but will surely divide the the side it reaches equally.Only in some cases is it possible that the angle divider (angle bisector) and the side divider(median) are the same or overlapping.