Dilation and Similarity Transformations

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a figure (scale factor > 1), while reduction decreases the size (scale factor < 1).

Front

Which transformations keep figures congruent?

Back

Translation, reflection, and rotation keep figures congruent.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal and sides are proportional.

Front

How do you determine if a transformation is a dilation?

Back

A transformation is a dilation if it changes the size of a figure while maintaining its shape, defined by a scale factor.

Front

What is the effect of a scale factor of 2 on a figure?

Back

A scale factor of 2 enlarges the figure, doubling the length of each side.

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

A scale factor of 1/2 reduces the figure, halving the length of each side.

Front

What is a reflection in geometry?

Back

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