Partitioning a Line Segment — Quiz

Question 8 • Geometry

Point A is at negative 4 and point cap b is at 6 Which describes one way to find the point that divides line segment A B into a ratio of 3 to 2 ratio? Open image in full-screen view

Answer

For a ratio of ratio of 3 to 2 , divide line segment A B into 3 equal parts. Each equal part is 3 units, so the point that divides line segment A B into a ratio of 3 to 2 ratio is 3 .

For a ratio of ratio of 3 to 2 , divide line segment A B into 5 equal parts. Each equal part is 2 units, so the point that divides line segment A B into a ratio of 3 to 2 ratio is 1 .

For a ratio of ratio of 3 to 2 , divide line segment A B into 5 equal parts. Each equal part is 2 units, so the point that divides line segment A B into a ratio of 3 to 2 ratio is 2 .

For a ratio of ratio of 3 to 2 , divide line segment A B into 3 equal parts. Each equal part is 3 units, so the point that divides line segment A B into a ratio of 3 to 2 ratio is 0 .

Explanation

The distance from A = −4 to B = 6 is 10 units. A ratio of 3:2 has 3 + 2 = 5 total parts, so each part is 10 ÷ 5 = 2 units. The point is 3 parts from A: −4 + 3(2) = 2, so the correct description is dividing the segment into 5 equal parts and locating the point at 2.

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