Geometry: Lines and Line Segments

Questions and Answers

To indicate that the line continues indefinitely

Point of intersection

Because they are straight and linear

The dollar symbol ($) Signup and view all the answers

They always meet at a single point and cross Signup and view all the answers

An X shape Signup and view all the answers

They always have more than one point of intersection Signup and view all the answers

They meet or cross at a single point. Signup and view all the answers

0-180 degrees Signup and view all the answers

Roads that meet or cross each other. Signup and view all the answers

Lines that cross at a 90-degree angle. Signup and view all the answers

They never meet or cross. Signup and view all the answers

They consist of two or more lines and/or line segments. Signup and view all the answers

A rectangle with intersecting lines. Signup and view all the answers

They are negative reciprocals. Signup and view all the answers

Study Notes

A line is a straight one-dimensional figure that continues infinitely in opposite directions.
Lines are infinite and cannot be measured, so they are often represented visually as a line segment with arrows at each end.
A line segment is a part of a line with two endpoints instead of arrows.
Line segments can be measured from one endpoint to the other.

Intersecting lines are lines or line segments that meet or cross each other at a single point, called the point of intersection.
Lines and line segments are straight, linear figures, so they cannot intersect at more than one point.
If two figures intersect at more than one point, at least one of them must be curvilinear, or curved.

Intersecting lines consist of two or more lines and/or line segments.
They meet or cross another line at one and only one point, the point of intersection.
They form any angle that measures between 0 and 180 degrees.

Intersecting lines can be found in everyday life, such as in writing, roads, art, construction, and tools.
Examples of intersecting lines include the capital letters A, E, F, K, L, M, N, T, V, W, X, Y, and Z, as well as several lower-case letters.

Perpendicular lines are lines that cross at a right angle (90 degrees).
All perpendicular lines are intersecting lines, but not all intersecting lines are perpendicular.
Perpendicular lines can form the shape of an "L" or a plus sign (+).
When graphing perpendicular lines, the equations must have slopes that are negative reciprocals.

Parallel lines are lines that will never cross because the distance between them remains constant.
Mathematically, parallel lines have the same slope, so they are rising or falling at the same rate.
Parallel lines never meet or cross.