Dilations and Similarity Review

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 center point and a scale factor.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes.

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

What happens when the scale factor is greater than 1?

Back

When the scale factor is greater than 1, the dilation results in an enlargement of the figure.

Front

What happens when the scale factor is less than 1?

Back

When the scale factor is less than 1, the dilation results in a reduction of the figure.

Front

What is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SSS similarity theorem?

Back

The SSS (Side-Side-Side) similarity theorem states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What is the SAS similarity theorem?

Back

The SAS (Side-Angle-Side) similarity theorem states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object that is proportional to the actual size of the object, using a specific scale.

Front

How do you find the length of a side in a similar triangle?

Back

To find the length of a side in a similar triangle, use the ratio of the corresponding sides and the known length.