Geometry Review

Front

What are coplanar points?

Back

Coplanar points are points that lie on the same plane.

Front

What does it mean for points to be collinear?

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the distance between the points (1, 2) and (4, 6).

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

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 are parallel lines?

Back

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

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the midpoint formula?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2) for points (x1, y1) and (x2, y2).

Front

What is the distance between the points (-3, -11) and (8, -42)?

Back

Distance = √((8 - (-3))² + (-42 - (-11))²) = √((11)² + (-31)²) = √(121 + 961) = √1082 ≈ 32.9.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.