Observe the figures:
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|
- 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 sizesNext: Similar Polygons