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 does a scale factor of 1 indicate in a dilation?

Back

A scale factor of 1 means the figure remains the same size after the dilation.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

Front

What is the difference between enlargement and reduction in dilations?

Back

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

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way.

Front

Name the four types of transformations in geometry.

Back

Translation, Reflection, Rotation, Dilation.

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 rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.

Front

What are similar figures?

Back

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

Front

If a figure is dilated by a scale factor of 0.5, what type of dilation is it?

Back

It is a reduction.