## Introduction

Observe the figures:

Figure A

Figure B

Figure C

They represent rectangles with different scales. Note that the three rectangles have the same shape but different sizes. We say they are **similar figures**.

In these figures we can identify:**AB **- distance between **THE** and **B** (length of rectangle).**CD **- distance between **Ç** and **D** (width of rectangle).

- sharp angles formed by the segments .

Measuring line segments and and the angles () of the figures, we can organize the following table:

m () | m () | angle | |

Fig. C | 3.9 cm | 1.3 cm | = 90º |

Fig. B | 4.5 cm | 1.5 cm | = 90º |

Fig. A | 6.0 cm | 2.0 cm | = 90º |

Notice that:

- The corresponding angles in the three figures have equal measurements;
The measurements of the corresponding segments are proportional;

From this example, we can conclude that two or more figures are similar in geometry when:

the corresponding angles have equal measurements;

the measurements of the corresponding segments are proportional;

The elements of the figures are common.

Other examples of **Similar figures:**

*Same shapes and different sizes*