
What is the midpoint of the segment connecting (1,2) and (5,2)?
Find the midpoint of the segment joining (5,2) and (5,10).
Determine the midpoint of the segment with endpoints (1,2) and (5,10).

What point partitions segment AB into a 2:1 ratio?
Calculate C according to the formula on the page.
What do you notice about how the answers for the first 2 questions compare? What do you wonder?

What are the coordinates for B' that will divide AB into a 4:1 ratio?
What are the coordinates for D' that will divide AD into a 4:1 ratio?
What are the coordinates for C' that will divide AC into a 4:1 ratio?
Is AB'C'D' a dilation of ABCD? Justify your answer.
Write the expression that will divide segment KL into a 3:1 ratio.