4th Geometry Semester 1 2024 Review

Front

Find the midpoint of the line segment with the given endpoints: (x1, y1) and (x2, y2).

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2). Example: Midpoint of (0, 2) and (-2, -8) is (-1, -3).

Front

How many points are needed to name a plane?

Back

3 points are needed to define a plane.

Front

How many points are needed to name a point?

Back

1 point is needed to define a point.

Front

What is the slope of a line perpendicular to a line with slope m?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

Front

Find the equation of a line that is perpendicular to y = -1/3x + 5.

Back

The perpendicular line is y = 3x - 12.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)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.

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 the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.