Dilations and Similarity Review

Front

What is a dilation in geometry?

Back

A transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

True or False: A dilation produces a similar figure.

Back

True

Front

If a figure is dilated by a scale factor of 3, what happens to its dimensions?

Back

All dimensions are multiplied by 3.

Front

What does the term 'corresponding' mean in geometry?

Back

It means matching or related parts of similar figures.

Front

What does the Side-Side-Side Similarity (SSS ~) Theorem state?

Back

If the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the AA similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SAS similarity criterion?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the scale factor in a dilation?

Back

The ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

How do you find the coordinates of a dilated figure?

Back

Multiply the original coordinates by the scale factor.

Front

If triangle ABC is dilated by a scale factor of 2, what are the new coordinates of point A(1,2)?

Back

A'(2,4) because (1*2, 2*2) = (2, 4).