Unit 6 Checkpoint

Front

What is the definition of similarity in geometry?

Back

If there is a sequence of rigid transformations and dilations taking one figure to another, then they are similar.

Front

If AB is 12 units, what is the length of A'B' if the scale factor is \frac{2}{3}?

Back

8

Front

If x varies inversely with y, what is the relationship between x and y?

Back

x = \frac{k}{y} for some constant k.

Front

What is a rigid transformation?

Back

A transformation that preserves distance and angle measures, including translations, rotations, and reflections.

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but preserves its shape.

Front

If y = 10 when x = 6, what is the value of k in the inverse variation x = \frac{k}{y}?

Back

k = 60.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

How do you determine if two triangles are similar?

Back

If their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

The figure enlarges.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

The figure shrinks.