Geometry Semester I

Front

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

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Define coplanar lines.

Back

Lines that lie in the same plane.

Front

What does it mean for a point to be inside a geometric figure?

Back

A point is inside a geometric figure if it lies within the boundaries of that figure.

Front

True or False: The midpoint of a vertical line segment will always have the same x-coordinate as its endpoints.

Back

TRUE

Front

What is the y-coordinate of the midpoint of the line segment with endpoints (4, 2) and (4, 6)?

Back

Midpoint = (4, (2 + 6)/2) = (4, 4) => y-coordinate is 4.

Front

True or False: A line segment can be defined by two endpoints.

Back

TRUE

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

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the definition of a plane in geometry?

Back

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