August 22nd Flashcardziz Line Segment Addition

Front

What is the Line Segment Addition Postulate?

Back

The Line Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

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

Back

To find the length of a line segment given two endpoints A(x1, y1) and B(x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is a segment in geometry?

Back

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

Front

Define a ray in geometry.

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

If B is between A and C, and AB = 10 and BC = 18, what is AC?

Back

AC = AB + BC = 10 + 18 = 28.

Front

What is the formula to solve for x in a segment addition problem?

Back

The formula is typically set up as: length of segment 1 + length of segment 2 = total length.

Front

What does it mean for a point to be 'between' two other points on a line segment?

Back

A point is 'between' two other points if it lies on the line segment connecting them and divides the segment into two smaller segments.

Front

How can you express the relationship between segments using variables?

Back

You can express the lengths of segments as equations, such as AB + BC = AC, where AB, BC, and AC are represented by variables.

Front

What is the significance of the midpoint in a line segment?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts.

Front

How do you determine if a point is on a line segment?

Back

A point is on a line segment if it lies between the endpoints of the segment and satisfies the segment's equation.