Dividing Line Segments
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Objective
I can determine the coordinates of a point that divides a line segment into a given ratio.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Explain the difference between a "part-to-part" ratio and a "part-to-whole" ratio when partitioning a line segment. Which type of ratio (k) is used in the formula provided in the video?
Given points A(1, 5) and B(7, -1), find the coordinates of point P that partitions the line segment AB in a ratio of 1:2.
Part 3 of 3
Exit ticket
Quick comprehension check
“Point P divides the line segment AB in the ratio 1:4. If A is at (2, 3) and B is at (7, 8), what are the coordinates of point P? Show all work. Find the coordinates of point Q that partitions the line segment CD in a ratio of 2:3, where C is at (-1, 5) and D is at (4, 0). Show all work. ”
Sample answer included in the free materials
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