Points, Lines, Planes, Midpoint, Distance, and Segment Addition Postulate

Front

What is a point in geometry?

Back

A point is a specific location in space that has no size, dimension, or shape.

Front

Define a line in geometric terms.

Back

A line is a straight one-dimensional figure that extends infinitely in both directions with no endpoints.

Front

What is a plane in geometry?

Back

A plane is a flat two-dimensional surface that extends infinitely in all directions.

Front

What does it mean for points to be collinear?

Back

Collinear points are points that lie on the same straight line.

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint M of a segment with endpoints A(x1, y1) and B(x2, y2): M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the distance between two points A(x1, y1) and B(x2, y2)?

Back

The distance d is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the Segment Addition Postulate?

Back

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

Front

If R is the midpoint of QS and QR = 8X - 51, RS = 3X - 6, how do you find QS?

Back

Set QR = RS, solve for x, then use QS = QR + RS.

Front

What is the definition of collinear points?

Back

Collinear points are points that lie on the same straight line.

Front

What is the intersection of a line and a plane?

Back

The intersection of a line and a plane is a point where the line crosses the plane.