Segment Ratios

• 1:2

• 2:1

• 3:1

• 1:3

The distance from A to P is 5 units and the distance from P to B is 3 units. What is the scale factor of the partition?

Mathematical Equivalence

ON

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Solve:

• -9

• -28

• 9

• 4

Zack cut a 36-inch piece of wood into 2 pieces. The ratio of the lengths of the 2 pieces is 2:7. What is the length of the shorter piece, to the nearest inch?

A new 75-mile road is divided into 3 sections. The ratio of the 3 sections is 1:2:3. What is the length to the nearest half mile of the middle length (not the smallest or largest, but the one in the middle)?

Find the point P that partitions the line segment AB given the ratio.
A (-6, -6) B(-2, 1) with the ratio 3:8

• (-54/11, 32/11)

• (-10/11, 32/11)

• (-54/11, -1/11)

• (-54/11, -45/11)

Given the points A(-3,-5) and B(5,0), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 2:3.

• (0.5,-2.2)

• (0.2,-2.4)

• (1/5, -5/2)

• (0,-2)

is a relationship in which for every x units of one quantity there are y units of another quantity.

• ratio

• terms

• quantities

A table that displays the constant relationship between two values

• Dinner Table

• Coordinate Plane

• Ratio Table