Geometry Transformations Flashcard

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

A translation is a type of transformation that moves every point of a figure the same distance in the same direction without changing its shape or orientation.

Front

What is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a rotation?

Back

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

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but preserves its shape. It involves a scale factor that determines how much the figure is enlarged or reduced.

Front

What is the effect of a translation of (x, y) by (a, b)?

Back

The new coordinates after translation will be (x + a, y + b).

Front

What is the effect of a reflection over the line y = x on the point (a, b)?

Back

The new coordinates after reflection will be (b, a).

Front

What is the effect of a rotation of 90 degrees counterclockwise on the point (x, y)?

Back

The new coordinates after rotation will be (-y, x).

Front

What is the effect of a dilation with a scale factor of k on the point (x, y)?

Back

The new coordinates after dilation will be (kx, ky).

Front

Which transformations preserve the size and shape of a geometric figure?

Back

Translations, reflections, and rotations preserve the size and shape of a geometric figure.