Practice 7-2: SIMILAR POLYGONS

PRACTICE 7-2 (DNG PAGE 381)
Similar Polygons
DNG - page 381
Practice 7-2: SIMILAR POLYGONS
Are the polygons similar? If they are, write a similarity statement,
and give the similarity ratio. If they are not, explain.
AB BC CA


XY YZ ZX

2
1
ABC ~ XYZ , ~ ratio 2:1
QM
RS

NQ  MN
ST
TR

5
3
5
3
5
3

5
3
Not similar, corr. sides
are not proportional.
QMN ~ RST , ~ ratio 5:3


35  21
2
2
 28
Not similar, corresponding
s are not congruent.
16
28

20
12

35
21

4
7
ABC ~ KMN , ~ ratio 4:7
9
4

6
4
Not similar, corr. sides
are not proportional.
DNG - page 381
Practice 7-2: SIMILAR POLYGONS
I
O
J
′
LO
NO
LO
″
⁗
Algebra
x
3 .3

6
5
 3.3 
x  6

 5 
x  3.96 ft
x
3

8
5
 3
x  8 
5
x  4.8 in.
′
Practice 7-2: SIMILAR POLYGONS
DNG - page 381
Algebra
x
15

6
9
x
10

1 .5
4
 10 
x  1.5  
4
x  3.75 cm
 15 
x  6 
9
x  10 m
DNG - page 381
Practice 7-2: SIMILAR POLYGONS
53
similarity ratio 
WX
4

DF
6
similarity ratio

5
53
37
2
3
= 90 - 37
mZ = 53
= mZ
mG = 53
DG 6

5
4
GF
6

3
4
DG = 7.5
GF = 4.5
= mW
mD = 37

3 4
2
WZ = 5
2