Question

Which of the following statements are true about points of trisection?

• A. The points of trisection divide a line into 3 equal parts.
• B. There are 3 points of trisection.
• C. The points of trisection divide a line in the ratios of 1 : 2 and 2 : 1.
• D. The points of trisection need not lie on the line joining the two points.

Answer 1

Answer: (A), (C)

The correct options are
A

The points of trisection divide a line into 3 equal parts.

C

The points of trisection divide a line in the ratios of 1 : 2 and 2 : 1.

Points of intersection divide a line into 3 equal parts. We need only two points to divide a line into 3 equal parts.
Hence the first point divides the line in the ratio of 1 : 2 whereas the second point divides it in the ratio of 2 : 1.