Geometry Foundations

Front

What is the midpoint formula for a line segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

Define opposite rays.

Back

Opposite rays are two rays that share the same endpoint and extend in opposite directions.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If AB = 5x + 8 and BC = 5x + 12, what is the relationship between AB and BC?

Back

AB is shorter than BC by 4 units.

Front

What are skew lines?

Back

Skew lines are lines that do not intersect and are not parallel.

Front

What is the definition of a ray?

Back

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

Front

What is the formula for finding the length of a line segment?

Back

Length = |x2 - x1| for horizontal segments or |y2 - y1| for vertical segments.

Front

What is the significance of the coordinates in a Cartesian plane?

Back

Coordinates (x, y) represent the position of a point in a two-dimensional space.

Front

How do you find the coordinates of the midpoint between two points?

Back

Add the x-coordinates and divide by 2, then add the y-coordinates and divide by 2.

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.