Points, Lines and Planes

Front

What is the definition of a point in geometry?

Back

A point is a specific location in space that has no dimensions, represented by a dot.

Front

What is a line in geometry?

Back

A line is a straight one-dimensional figure that extends infinitely in both directions, having 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

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean for two planes to intersect?

Back

Two planes intersect at a line, which is the set of points that are common to both planes.

Front

What is the slope of the line that passes through the points (10, 1) and (5, 2)?

Back

-1/5

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

2

Front

What is another name for line k if it passes through points B and C?

Back

Line BC

Front

What is the definition of a line segment?

Back

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

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints and does not extend infinitely.