Chapter 5: Similarity
Lesson 5-2: Similar Polygons
Homework
A
Name____________________
Date ______________
Period ___
B
12
F
7
E
3
6
G
H
D
C
Match the vertices of rectangles ABCD and EFGH like this:
A B C D
E F G H
1.
Are corresponding angles congruent? __________
2.
Are corresponding sides in proportion? __________
3.
Are the two rectangles similar? __________
K
J
W
X
3
Z
M
L
Match the vertices of squares JKLM and WXYZ like this:
J
K L
M
W X Y
4.
Are corresponding angles congruent? __________
5.
Are corresponding sides in proportion? __________
6.
Are the two rectangles similar? __________
Y
4
Z
Using the definition of similar polygons, state why the two polygons are, or are not, similar.
7.
8.
7
5
2
3.5
2.5
2
4
4
4
8
The two polygons are similar. Complete each statement.
9.
∆ JIM ~ ∆ __________
D
J
N
M
10
JI
IM JM
=
=
DA
A
I
A
B
Trapezoid BART ~ Trapezoid _____
I
K
M
BA BT RT AR
=
=
=
MI
E
R
T
The two polygons are similar. Find the values of x, y, and z.
24
6
z
20
4
x
7
y
11. Scale factor = _____
12. Scale factor = _____
13. Scale factor = _____
Proportion for x
Proportion for y
Proportion for z
x = __________
y = __________
z = __________
x
16
8
6
12
z
y
24
14. Scale factor = _____
15. Scale factor = _____
16. Scale factor = _____
Proportion for x
Proportion for y
Proportion for z
x = __________
y = __________
26
y
5
x
12
24
17. Scale factor = _____
18. Scale factor = _____
Proportion for x
Proportion for y
x = __________
y = __________
z = __________