Geometry Basics Quiz

Geometry Basics

• Geometry studies shapes, sizes, and spatial relationships.
• A point is a location in space with no dimension.
• A line is a set of points extending infinitely in two directions.
• A plane is a flat surface extending infinitely in all directions.

Lines

• Collinear points: Points that lie on the same line.
• Coplanar points: Points that lie on the same plane.
• Intersecting lines: Lines that share a common point.
• Parallel lines: Coplanar lines that never intersect.
• Skew lines: Noncoplanar lines that never intersect.
• Concurrent lines: Three or more lines that intersect at a single point.

Planes

• A plane is a flat surface that extends infinitely.
• Three noncollinear points determine a plane.
• Two intersecting lines determine a plane.
• Two parallel lines determine a plane.

Angles

• An angle is formed by two rays with a common endpoint (vertex).
• Adjacent angles: Angles that share a common vertex and side, but have no common interior points.
• Complementary angles: Two angles whose measures add up to 90°.
• Supplementary angles: Two angles whose measures add up to 180°.
• Linear pair: Adjacent angles that form a straight line (sum of 180°).
• Vertical angles: Opposite angles formed by intersecting lines. Vertical angles are congruent.
• Acute angle: An angle measuring less than 90°.
• Right angle: An angle measuring exactly 90°.
• Obtuse angle: An angle measuring greater than 90° but less than 180°.

Angle Measurement

• Angles are measured in degrees.
• A protractor is used to measure angles.
• An angle bisector divides an angle into two congruent angles.

Line Segments and Rays

• A line segment is a part of a line with two endpoints.
• A ray is a part of a line with one endpoint and extends infinitely in one direction.