1.
Triangles
M
and
N
are similar. The ratio of a side of triangle
N
to a corresponding side of triangle
M
is 4:3. The lengths of triangle
M
are
12 inches, 18 inches, and 24 inches. Find the perimeter of triangle
N
.
A.
72 in.
B.
76 in.
C.
96 in.
D.
84 in.
Hint
2.
Hakan is standing next to a building whose shadow is 15 feet long. If Hakan is 6 feet tall and is casting a shadow 2.5 feet long, how high is the building?
A.
30 ft
B.
40 ft
C.
24 ft
D.
36 ft
Hint
3.
Find the value of
d
in the similar polygons below.
A.
15
B.
19.683
C.
0.83
D.
2.7
Hint
4.
Pentagons
P
and
Q
are similar. The ratio of a side of pentagon
P
to a side of pentagon
Q
is 9:4. If the sides of
Q
are 8 units, 22 units, 16 units, 3 units, and 9 units, then what is the perimeter of
P
?
A.
522 units
B.
130.5 units
C.
232 units
D.
58 units
Hint
5.
The tallest tree in the United States is a Coast Redwood in Jedidiah Smith State Park in California. It is 321 feet tall. Suppose you are 5 feet 8 inches tall and cast a shadow that is 2 feet at a certain time of day. About how long is the tree’s shadow at the same time of day?
A.
128 ft
B.
118 ft
C.
113 ft
D.
910 ft
Hint