Math Transformation Study Cards

Enhance Your Learning with Math Transformation Flash Cards for quick revision



Translations

A transformation that slides a figure in a specific direction without changing its shape or orientation.

Reflections

A transformation that flips a figure over a line, creating a mirror image.

Rotations

A transformation that turns a figure around a fixed point, known as the center of rotation.

Dilations

A transformation that enlarges or reduces a figure by a scale factor, while preserving its shape and proportions.

Composite Transformations

A combination of two or more transformations applied to a figure in a specific order.

Symmetry

A property of a figure that remains unchanged when it is reflected, rotated, or translated.

Congruence

A property of two figures that have the same shape and size.

Similarity

A property of two figures that have the same shape but not necessarily the same size.

Coordinate Plane

A two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

Vectors

Quantities that have both magnitude and direction, often used to represent translations in math transformation.

Transformations in Real Life

Applications of math transformation in various fields such as architecture, computer graphics, and engineering.

Applications of Math Transformation

Practical uses of math transformation in solving real-world problems and analyzing data.

Transformation Matrices

Matrices used to represent and perform transformations in linear algebra.

Isometries

Transformations that preserve distances and angles, including translations, rotations, and reflections.

Invariant Points

Points that remain fixed or unchanged after a transformation is applied to a figure.

Composition of Transformations

The combination of two or more transformations applied to a figure in a specific order.

Center of Rotation

The fixed point around which a figure is rotated during a rotation transformation.

Scale Factor

The ratio of the lengths of corresponding sides of two similar figures.

Line of Reflection

The line over which a figure is reflected during a reflection transformation.

Image

The resulting figure after a transformation has been applied to a pre-image.

Pre-image

The original figure before any transformation has been applied.

Transformation

A process that changes the position, size, or shape of a figure.

Translation Vector

A vector that represents the direction and distance of a translation.

Rotation Angle

The amount of rotation in degrees or radians during a rotation transformation.

Dilation Factor

The scale factor by which a figure is enlarged or reduced during a dilation transformation.

Reflection Line

The line over which a figure is reflected during a reflection transformation.

Similar Figures

Figures that have the same shape but not necessarily the same size.

Congruent Figures

Figures that have the same shape and size.

Transformation Rules

Specific guidelines or steps to follow when performing a transformation.

Transformation Matrix

A matrix used to represent a transformation in linear algebra.

Reflection Axis

The line over which a figure is reflected during a reflection transformation.

Rotation Center

The fixed point around which a figure is rotated during a rotation transformation.

Dilation Center

The fixed point from which a figure is enlarged or reduced during a dilation transformation.

Translation Distance

The distance and direction a figure is moved during a translation transformation.

Rotation Direction

The direction of rotation, either clockwise or counterclockwise, during a rotation transformation.

Dilation Direction

The direction of enlargement or reduction, either inward or outward, during a dilation transformation.

Reflection Angle

The angle between the line of reflection and the reflected figure during a reflection transformation.

Rotation Symmetry

The property of a figure that remains unchanged after a rotation of 180 degrees or less.

Dilation Scale

The ratio of the lengths of corresponding sides of a figure and its image during a dilation transformation.

Translation Direction

The direction in which a figure is moved during a translation transformation.

Rotation Axis

The line around which a figure is rotated during a rotation transformation.

Dilation Ratio

The ratio of the lengths of corresponding sides of a figure and its image during a dilation transformation.

Reflection Point

The point on a figure that remains fixed during a reflection transformation.

Rotation Point

The point around which a figure is rotated during a rotation transformation.

Dilation Point

The point from which a figure is enlarged or reduced during a dilation transformation.

Translation Point

The point on a figure that remains fixed during a translation transformation.

Rotation Angle of Rotation

The angle through which a figure is rotated during a rotation transformation.

Dilation Scale Factor

The factor by which a figure is enlarged or reduced during a dilation transformation.

Translation Vector Direction

The direction in which a figure is moved during a translation transformation.

Rotation Center of Rotation

The fixed point around which a figure is rotated during a rotation transformation.

Dilation Center of Dilation

The fixed point from which a figure is enlarged or reduced during a dilation transformation.