Are the polygons similar? if they are, write a similarity statement and give a scale factor. the figures are not drawn to scale. a. tuwv ~ defg; 4.5: 2.8 b. tuwv ~ efgd; 6: 2.1 c. tuwv ~ defg; 6: 4.5 d. the polygons are not similar

solution:

two polygons are said to be similar, if the ratio of corresponding sides of two polygons are same as well as the interior angles of the two polygon are equal.

starting from option

(a)   tuwv ~ defg

scale factor =

as, denominator contains the term other than so we will not get a terminating fraction.

so, these two polygons can't be similar.

(b) tuwv ~ efgd

scale factor =

as, denominator contains the term other than so we will not get a terminating fraction.

so, these two polygons can't be similar.

(c) tuwv ~ defg

scale factor =

as, denominator contains the term other than so we will not get a terminating fraction.

means we can't say by how much exactly that is the exact scale factor .

so, these two polygons can't be similar.

as, the first three options are non terminating repeating decimal.these can't be scale factor of two polygons.

option (d)   the polygons tuwv and defg are not similar is true among all four options given.