Similar Polygons
Two polygons are - Corresponding angles are equal.
- The ratios of pairs of corresponding sides must be equal.
The symbol for "is similar to" is
Similar quadrilaterals
quadrilateral This means: m<A = m<E, m<B=m<F, m<C=m<G, m<D=m<H and
It is possible for a polygon to have one of the above facts true without having the other fact true. The following two examples show how that is possible: Quadrilaterals that are not similar to one another.
quadrilateral QRST is not similar to quadrilateral WXYZ Even though the ratios of corresponding sides are equal, corresponding angles are not equal Quadrilaterals that are not similar to one another.
quadrilateral Even though corresponding angles are equal, the ratios of each pair of corresponding sides are not equal Typically, problems with Given that polygon
WXYZ polygon ABCD, find the missing measure:
A length on polygon Let m represent the measure of : m=18 Congruent Versus Similar polygonsCongruent polygons have the same shape and the same size, while similar figures have the same shape buy may have different sizes. |