Download Polygons- two polygons are similar if and only if

Geometry Concepts
7.2 Similar Polygons
Name______________________
Similar ( ) Polygons- two polygons are similar if and only if their corresponding angles are
congruent and corresponding sides are proportional.
From Austin Powers, Dr. Evil and Mini Me were supposed to me similar figures.
--------------------------------------------------------------------------------------------------------Example 1: If NPQR UVST, list all the pairs of congruent angles and write a proportion that
relates the corresponding sides.
--------------------------------------------------------------------------------------------------------Scale factor- rates of corresponding sides of 2 similar polygons.
ABC
The scale factor of ABC to
is ________.
The scale factor of XYZ to
is ________.
--------------------------------------------------------------------------------------------------------Example 2: Determine whether the rectangular images are similar. If so, write a similarity
statement and scale factor.
Example 3: ACDF
VWYZ
Find x and y.
---------------------------------------------------------------------------------------------------------Perimeter of Similar Polygons-If two polygons are similar, then their perimeters is
proportional to the scale factor between them.
Example 4: ABCDE PQRST; Find the scale factor of ABCDE to PQRST and the perimeter of
each polygon.
--------------------------------------------------------------------------------------------------------Example 5: MNPQ XYZW; Find the scale factor of MNPQ to XYZW and the perimeter of
each polygon.
Classwork
---------------------------------------------------------------------------------------------------------