Dilations and other transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a triangle is dilated with a scale factor of 1/2, what happens to its size?

Back

The triangle will be reduced to half its original size.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is a reflection in geometry?

Back

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

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but different sizes; their corresponding angles are equal and their sides are proportional.

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are identical in shape and size; they can be superimposed on each other.

Front

How do you determine the scale factor between two similar figures?

Back

The scale factor can be determined by dividing the length of a side of the image by the length of the corresponding side of the original figure.

Front

What is the result of a reflection over the x-axis?

Back

The y-coordinates of the points of the figure are inverted, while the x-coordinates remain the same.