 Partition Line Segment into Given Ratio

Videos and lessons to help High School students learn how to find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Common Core: HSG-GPE.B.6

Dividing a Line Segment into Equal Parts
Using a compass and straight edge to divide a line segment into equal (congruent) parts.

Construction 6 & 7 - Division of a Line Segment
Construction 6 shows the division of a line segment into two or three equal parts.
Construction 7 involves dividing a line segment into any number of equal parts.
Both constructions can be carried out in the same manner. Essentially to divide a line segment into a given number of equal segments, mark off this number of equal distances along a ray drawn from the start of the given line segment. Also note an alternative method of dividing a line segment into two equal parts is to construct the perpendicular bisector of the line.

Divide a Line into Equal Parts
Divide a line of a given length into any number of sections. A divider can be substituted for the ruler.

To Divide a Line Segment In a Given Ratio.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 