Similarity & Dilations

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. This means corresponding angles are equal and corresponding sides are in proportion.

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. It is defined by a center point and a scale factor.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor can be found by dividing the length of a side of one figure by the corresponding side of the other figure.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

Back

x = 21.

Front

What happens to the angles of a polygon during a dilation?

Back

Dilations do not change the angles of a polygon.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar figures are in proportion.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

Back

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.