Points, Lines, Planes, MidSegment, Midpt, Distance

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between the points (2, 3) and (5, 7).

Back

√((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5

Front

What are collinear points?

Back

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

Front

Name three collinear points on a line segment AB.

Back

Points A, B, and any point C that lies on line AB.

Front

What is a midpoint?

Back

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

Front

How do you find the midpoint of two points (x1, y1) and (x2, y2)?

Back

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

Front

Calculate the midpoint of the points (2, 4) and (6, 8).

Back

Midpoint = ((2 + 6)/2, (4 + 8)/2) = (4, 6)

Front

What is a line segment?

Back

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

Front

Define a plane in geometry.

Back

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

Front

What is the intersection of a line and a plane?

Back

The intersection is the point where the line crosses the plane.