__(7-2) Exploring Similar Polygons__

Obj: To identify
similar figures and to solve problems

involving similar figures.

Similar polygons – (~) Two polygons are
similar if their corresponding angles are congruent and the measures of their
corresponding sides are proportional.

Scale Factor: The ratio of the lengths of any two corresponding
sides.

Trapezoid
ABCD ~ Trapezoid ZYXW

Find
the scale factor:

Find
the value of x:

Ex.
3) If
quadrilateral ABCD is similar to quadrilateral EFGH, Find each of the
following.

A) scale factor of
ABCD to EFGH.

B) EF

C) FG

D) GH

E) Perimeter of ABCD

F) Perimeter of EFGH

G) Ratio of the perimeter of

ABCD to the perimeter of

EFGH.

Ex.
4) Each pair of polygons is similar. Find the value of
x and y.

A) B)

Ex.
5) Quadrilateral RSTV is similar to
quadrilateral LMNO. The sides of RSTV are 6, 10, 12, and 14 inches long. The shortest side
of LMNO is 9 inches long.

a) What is the scale factor of RSTV to LMNO?

b) Find the two longest sides of LMNO.

c) Find the perimeter of LMNO.

d) What is the ratio of the perimeters of
RSTV and LMNO?

Ex.
6) Triangle ABC has vertices A(0, 0), B(3, 0) and C(0,4). If the coordinates are
multiplied by 3, will

the new triangle be similar
to triangle ABC? Why or why not?