Rigid Motions (Isometries)

This course serves as an introduction to the Rigid Motions which is also known as Isometries. It starts with the concepts of Translations and Rotations. The course covers the concepts of Reflection and Glide Reflections. Furthermore, the course provides a detailed discussion of Clockwise orientation and Counterclockwise orientation.

12 topics

101 lectures

Educators

Course Curriculum

17 videos

Parallel and Perpendicular lines

14 videos

Deductive Reasoning

1 videos

Non Rigid Transformations (Dilations)

2 videos

6 videos

Geometry Basics

3 videos

Properties of Quadrilaterals

5 videos

Right Triangles

13 videos

Rigid Motions (Isometries)

6 videos

10 videos

5 videos

Relationships Within Triangles

19 videos

Rigid Motions (Isometries) Lectures

Rigid Motions (Isometries)

Line reflections examples

In mathematics, a line reflection is a reflection in a line. It is a type of involution (a mapping that is its own inverse).

Kurt Kleinberg

Rigid Motions (Isometries)

Line reflections lecture

In mathematics, the reflection of a point P across a line L is a point P' on the opposite side of L from P such that P' is equidistant from L and P.

Kurt Kleinberg

Rigid Motions (Isometries)

Rotation examples

In physics, rotation is a circular motion of an object around a center of rotation. A three-dimensional object always rotates around an imaginary line called a rotation axis. If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation about an axis that passes through the head is called a "rotation of the head", or a "nodal rotation".

Kurt Kleinberg

Rigid Motions (Isometries)

Rotations lecture

In mathematics, a rigid motion is a motion of a rigid body that leaves its orientation unchanged. A rigid motion can be described as a combination of rotations about different fixed points through a fixed angle.

Kurt Kleinberg

Rigid Motions (Isometries)

Translations examples

In mathematics, a translation is a linear map that moves every point of a space by the same amount in a given direction. The simplest examples of translations are shifts, rotations, and reflections.

Kurt Kleinberg

Rigid Motions (Isometries)

Translations intro

In geometry, a rigid motion is a rigid transformation (isometry) of space. This means that the translation of space is not allowed. A rigid motion is a transformation that takes a point to another point while keeping the line segment connecting the two points fixed. A rigid motion is an isometry.

Kurt Kleinberg