Plane Transformations

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4. Geometry
5. Plane Transformations

Angle Of Rotation

Auguste Ferdinand Möbius (1790-1868)

Axial Symmetry

Axis of Symmetry

Axonometric Projection

Base Element

Cabinet Projection

Cavalier Projection

Central Projection

Centre of Dilation

Centre of Rotation

 

Centre of Symmetry of a Geometric Figure

Congruence of Geometric Figures

Examples Two figures congruent by a rotation : Two figures congruent by a translation :

Congruent

Congruent Figures

Congruent Triangles

Conjugate Axis

 

Contraction

Corresponding

Dilation in a Cartesian Plane

Direct Isometry

Direction of Rotation

Enlargement

Figures With Line Symmetry

Fixed Point

Flip

Flip

Frieze

Geometric Transformation

Glide Reflection Symmetry

Homography

Homothetic Figures

Homothetic Polygons

Homothetic Triangles

Image of a Figure Under a Geometric Transformation

invariant

Isometric Projection

Isometry

Line Mapping Corresponding Points in a Geometric Transformation

Line of Reflection

Line of Symmetry

Lines Mapping Corresponding Points in a Dilation

 

Lines Mapping Corresponding Points in a Reflection

Lines Mapping Corresponding Points in a Translation

Mosaic Blocks

Oblique Projection

One-Point Perspective

Orientation of the Geometric Plane

Orthogonal Projection

Orthogonal Projection Ratio

Orthogonal Symmetry

Parallel Projection

Periodic Tessellation

Plane of Symmetry

Point Symmetry

Pre-Image

Ratio of Similarity

Reciprocal

Reduction

Reflection

Reflection in a Cartesian Plane

Regular Tessellation

Relationship of Congruence

Examples Two figures congruent by a rotation: Two figures congruent by a translation: Two figures congruent by a reflection:

Relationship of Similarity

Relationship of Symmetry

Reproduction

Result of an Operation

Rotation in a Cartesian Plane

Rotation in a Plane

Scale Factor

Semi-Regular Tessellation

Similar Triangles

Similarity

Sliding

Symmetric

Symmetry

Tessellation

Three-Point Perspective

Tile

Transformation Matrix

Translation

Translation Arrow

Two-Point Perspective

Uniform Tessellation