More Lessons for the High School Regents Exam
More Geometry Lessons
High School Math based on the topics required for the Regents Exam conducted by NYSED.
The following table gives some terms and vocabulary used in geometry. Scroll down the page for more examples, explanations and solutions.
Point, Line and Plane:
In Geometry, we have several fundamental concepts: point, line and plane. From these three basic terms, all other terms in Geometry can be defined.
In Geometry, we define a point
as a location and no size. A line
is defined as something that extends infinitely in either direction but has no width and is one dimensional while a plane
extends infinitely in two dimensions.
is an exact location in space. They are shown as dots in a plane in 2-dimensions or dots in space in 3-dimensions. It is labeled with capital letters. It does not take up any space.
is a geometric figure that consists of an infinite number of points lined up straight that extends in both directions forever. A line is identified by a lower case letter or by two points that the line passes through. We can draw exactly one line through two points. All points on the same line are called collinear
. Two lines are either parallel
or they will intersect at a point. A line segment
is part of a line with two end points.
starts from one end point and extends in one direction forvever.
is a flat 2-dimensional surface. It can be identified by 3 points in the plane. There are infinite number of lines in a plane. The intersection of two planes is a line. Coplanar
points are all in one plane.
Points, Lines, and Planes
Point, Line, Plane
This video explains and demonstrates the fundamental concepts (undefined terms) of geometry: point, line, plane.
Geometry - Points, Lines, Planes, Space Notation - Part 1 of 2
Geometry - Points, Lines, Planes, Space Notation - Part 2 of 2
A song to help you remember Line, Ray, Line Segment, Plane, Point
In this lesson, students learn the definitions of a point, a line, a plane, and space, as well as the symbols that are used in Geometry to represent each figure.
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