Dividing a Segment in a Given Ratio

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Objective

I can calculate the coordinates of a point that partitions a directed line segment in 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

1

Explain in your own words what it means to partition a line segment and what a ratio represents in this context.

2

Given points A(1, 2) and B(7, 8), find the coordinates of point P that partitions the directed line segment AB in the ratio 1:2 using the formula method.

Part 3 of 3

Exit ticket

Quick comprehension check

Find the coordinates of point P that partitions the directed line segment AB, where A is at (1, 2) and B is at (7, 5), in the ratio 1:2. Show all work. Find the coordinates of point P that partitions the directed line segment AB, where A is at (-2, -3) and B is at (4, 3), in the ratio 2:1. Show all work.

Sample answer included in the free materials

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