Segment Lengths

Front

What is the definition of a segment in geometry?

Back

A segment is a part of a line that is bounded by two distinct endpoints.

Front

How do you find the length of a segment given its endpoints?

Back

To find the length of a segment, use the distance formula: Length = √((x2 - x1)² + (y2 - y1)²).

Front

What is the formula for the midpoint of a segment?

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If segment AB has endpoints A(2, 3) and B(6, 7), what is the length of segment AB?

Back

Length of segment AB = √((6 - 2)² + (7 - 3)²) = √(16 + 16) = √32 = 4√2.

Front

What is the relationship between the lengths of segments in a triangle?

Back

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

Front

If segment CD is 10 units long and point E is the midpoint, what is the length of CE?

Back

Length of CE = 10/2 = 5 units.

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

If segment XY is 12 units long, what is the length of segment XZ if Z is a point on segment XY?

Back

The length of segment XZ can vary from 0 to 12 units, depending on the position of point Z.

Front

How do you represent a segment in a coordinate plane?

Back

A segment can be represented by its endpoints in the form (x1, y1) and (x2, y2).

Front

What is the significance of segment addition postulate?

Back

The segment addition postulate states that if point B is between points A and C, then AB + BC = AC.