Midpoints and Segment Bisectors

Video · + 1 min read

(Video) The Difference Between Bisector and Midpoint

by eHow

Midpoints \\

Midpoints in geometry don't mean something too different from our day to day lives. Currently, my friend Ella and I both live on the same street. The tea cafe we like going to is also on the same street. When I go to the cafe, I have to pass by Ella's house. In fact, the it is the same distance from Ella's house to the cafe and from hers to mine. In other words, Ella's house is the mid point between the tea cafe and where I live.

Midpoints are points exactly in the middle of a segment: they're equidistant to either end. \\ Take a look at the graph below: CC is the midpoint of line segment ABAB. The pair of tick marks indicates the congruence AC‾≅BC‾\overline{AC} \cong \overline{BC} between the two halves of segment ABAB.

The segments AC and BC are congruent.

The segments AC and BC are congruent.

Bisectors \\

Bisectors are lines that cut things right in half, which means they go through the midpoint of the lines. \\ Take a look at the graph below, as long as the lines pass through the midpoint, they are bisectors!

There are infinitely many bisectors for a given line segment AB.

There are infinitely many bisectors for a given line segment AB.

Below is a video explaining what a midpoint and a segment bisector is.

In the video, she demonstrated what a midpoint and a line/segment bisector is.

Worth the struggle

Twenty minutes on one hard problem can teach more than ten easy exercises. These problems are worth staying with. These are real problems from the AMC 8, AMC 10, AMC 12 and AIME, the national math competitions for middle and high school students, each with a worked solution on LIVE by Po-Shen Loh.

Type a concept, like “slope” or “photosynthesis”.

↑ ↓ to choose · Enter to openSearch explanations and problems