Geometry Fill in the Blanks

Angles and Relationships

• Complementary angles sum to 90 degrees.
• Acute angles measure between 0 and 90 degrees.
• Obtuse angles measure between 90 and 180 degrees.
• Supplementary angles sum to 180 degrees.
• Vertical angles are congruent angles formed by intersecting lines.

Geometric Terms

• An angle bisector divides an angle into two congruent angles.
• A midpoint is defined as the point that divides a segment into two congruent segments.
• A segment is part of a line with two endpoints.
• A ray has one endpoint and extends indefinitely in one direction.

Lines and Planes

• A line extends indefinitely in both directions without end.
• Points that lie on the same line are termed collinear.
• Coplanar points exist within the same plane.
• Perpendicular lines intersect at right angles (90 degrees).

Mathematical Formulas and Theorems

• The distance formula calculates the distance between two points in a coordinate plane.
• Segment addition postulate states if B is between A and C, then AB + BC = AC.

Angles and Point Relationships

• Adjacent angles share a common vertex and side but do not overlap.
• Opposite rays share a common endpoint and form a straight line.
• The intersection of two planes is a line.

Additional Concepts

• A point represents a location with no size, shape, or dimension.
• A plane is a flat surface that extends infinitely in all directions.
• A space represents a set of all points in a given context.