Exploring Similar Polygons

1
Lesson 7-2
Exploring Similar Polygons
2
Definition of Similar Polygons
Two polygons are similar if and only if their
corresponding angles are congruent and the
measure of their corresponding sides are
proportional
3
Example 1
Trapezoid PQRS is similar to trapezoid UTWV. Find
the value of x.
14
Q
R
35
V
U
6
6
x
x
T
W
20
S
P
8
4
Example 2
For each statement write always true, sometimes
true, or never true.
A) Two right triangles are similar.
B) Two congruent quadrilaterals are similar.
C) Two rectangles are similar.
D) A triangle is similar to a quadrilateral
5
Example 3
Find x and y.
x
49
29
20
21
y 3