Similar Figures

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Transcript Similar Figures

SIMILAR FIGURES & SCALE
DRAWINGS
SIMILAR FIGURES
 Have the same shape, but not necessarily the
same size
 Have corresponding angles
 Have corresponding sides
Corresponding X
Angles
A
53
6
9
37
C
53
8
B
37
Z
Corresponding
Sides
12
Y
Key Concepts
 Similar figures have 2 properties:
 1. Corresponding Angles must have the same
measurement
 2. The lengths of Corresponding Sides must be
proportional
Example…
A
16
B
x
D
E
24
F
18
C
G
H
x = 16
18 24
Step 1 – cross multiply
24x = 18(16)
Step 2 – multiply
24x = 288
Step 3 – divide by whatever is
connected to your variable
24x = 288
24
24
x = 12