Geometry: Dilations and Similarity

Vocabulary flashcards covering the concepts of enlargements, reductions, scale factors, and image notation in geometric dilations.

Dilation producing a Reduction

A transformation that results in an image smaller than the original pre-image, often occurring when the scale factor is between $0$ and $1$ such as $\frac{1}{3}$ or $\frac{1}{2}$.

Dilation producing an Enlargement

A transformation that results in an image larger than the original pre-image, occurring when the scale factor is greater than $1$ such as $2$ or $4$.

Scale Factor

The ratio used to multiply the coordinates of the original figure to find the image vertices; examples include $2$, $4$, $5$, $\frac{1}{3}$, $\frac{1}{2}$, and $\frac{1}{4}$.

Image Vertices

The coordinates of a figure after a transformation, denoted with prime notation such as $A'$, $B'$, and $C'$.

Similarity

The relationship between two-dimensional figures where one can be obtained from the other by a sequence of rotations, reflections, translations, and dilations.