Midpoint and Segment Bisector

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

How do you find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

If point M is the midpoint of segment JS, what can be said about the lengths of JM and MS?

Back

The lengths of JM and MS are equal.

Front

Given points J(2, 3) and S(6, 7), what is the midpoint M?

Back

M = ((2 + 6)/2, (3 + 7)/2) = (4, 5).

Front

If point S is the midpoint of segment RT, what can be concluded about points R and T?

Back

Points R and T are equidistant from point S.

Front

What is the formula to find the length of a segment between two points (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If the coordinates of point A are (1, 2) and point B are (5, 6), what is the midpoint?

Back

Midpoint = ((1 + 5)/2, (2 + 6)/2) = (3, 4).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it helps in constructing bisectors and understanding symmetry.

Front

If point M is the midpoint of segment AB, and A is at (3, 4), what are the coordinates of B if M is (5, 6)?

Back

B = (2 * M - A) = (2*5 - 3, 2*6 - 4) = (7, 8).