To use 7 2 Practice Similar Polygons, you need to know how to determine similarity and how to use the properties of similar polygons.įirst, determine if two polygons are similar using AA or SAS similarity. Engineers use similarity to design models of structures before building them. Map-makers use similarity to create maps that represent a larger area on a smaller scale. Architects use similarity to design buildings with specific proportions. Similar polygons have many real-world applications. In SAS similarity, two polygons are similar if they have two pairs of corresponding sides that are proportional and the included angle between them is congruent.įor example, if two triangles have two pairs of proportional sides and the included angle is congruent, the triangles are similar. This means that the third angle must also be congruent, as the sum of the angles in a polygon is always 180 degrees.įor example, if two triangles have two congruent angles, their third angle must also be congruent, and the triangles are similar.
In AA similarity, two polygons are similar if they have two corresponding angles that are congruent.
There are two ways to do this: angle-angle (AA) similarity and side-angle-side (SAS) similarity. To determine if two polygons are similar, we need to compare their corresponding angles and sides. This means that the corresponding angles of two similar polygons are congruent, and the corresponding sides are in proportion.įor example, two rectangles with different dimensions are similar if all their corresponding angles have the same measure and their sides are in proportion. Similar polygons are figures that have the same shape but not necessarily the same size. Determining similarity is important in many real-world applications, such as in architecture, engineering, and map-making. Similar polygons have the same shape, but they may differ in size. 7 2 Practice Similar Polygons is an essential concept in geometry.
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