Question

The midpoint of a line segment partitions the line segment into a ratio of:

• A. $1:1$
• B. $1:2$
• C. $2:1$
• D. $2:3$

Answer 1

The correct option is A

$1:1$

The explanation for the correct option:

Option (A):

• A line has two equal-length segments that are separated by the midpoint.
• Two measurements, $a$ and $b$, have$a:b$ as their ratio.
• There is a$1:1$ ratio when two measurements are equal.
• The ratio of the segments is $1:1$ since the midpoint divides the line into two equal-length segments.

Therefore option (A) is the correct answer.

The explanation for the incorrect option:

Option (B):

• It is known that the midpoint divides the line into two equal-length segments.
• The ratio $1:2$ is not the correct ratio.

Hence, the midpoint of a line segment partitions the line segment into a ratio that is not $1:2$.

Option (C):

• It is known that the midpoint divides the line into two equal-length segments.
• The ratio $2:1$ is not the correct ratio.

Hence, the midpoint of a line segment partitions the line segment into a ratio that is not $2:1$.

Option (D):

• It is known that the midpoint divides the line into two equal-length segments.
• The ratio $2:3$ is not the correct ratio.

Hence, the midpoint of a line segment partitions the line segment into a ratio that is not $2:3$.

Therefore, Option (A) is the correct answer.