Download topic 8-2: similar polygons

TOPIC 9-2: SIMILAR POLYGONS
TERM
DEFINITION
SKETCH
SIMILAR
Polygons with the same shape
POLYGONS but different sizes.
If two polygons are similar, two things are true:
1) Corresponding angles are __________________________.
2) Corresponding sides are __________________________.
EXAMPLE 1 Use the figures below to answer the questions that
Y
follow.
B
A
C

X
Z
a) A  __________
d) AB : __________
b) BC : __________
e) C  __________
c) B  __________
f) CA : __________
EXAMPLE 2 If the quadrilaterals below are similar, then what
must be true?
D
A
B
About the angles:
C

H
E
F
About the sides:
G
EXAMPLE 3 If LMN is similar to RST, what must be true?
About the angles:
About the sides:
A very important term to know when talking about similar polygons is
INCLUDED.
An angle is said to be INCLUDED between two sides, and a side is
said to be INCLUDED between two angles.
EXAMPLE 4 Use the polygon below to answer the questions that
follow.
a) Which angle is included between
B
AB and BC? __________
C
A
b) Which side is included between
E and D? __________
E
c) Which angle is included between
AE and AB? __________
D
EXAMPLE 5 Use the figure below to answer the questions that
follow.
M
a) Name the angle included between
AM and MC:__________
b) Name the side included between
A and M:__________
c) Name the side included between
A and C:__________
A
C