Test PracticeT
302 Proportions and SimilarityC 11. OPEN ENDED Draw and label two similar figures with a scale factor of _^56.
Find the perimeter and area of each figure.- CHALLENGE Two circles have circumferences of π and 3π. What is the ratio
of the area of the circles? the diameters? the radii? - E WRITE MATH A company wants to reduce the dimensions of its logo
from 6 inches by 4 inches to 3 inches by 2 inches to use on business
cards. Robert thinks that the new logo is ^14 the size of the original logo.
Denise thinks that is ^12 of the original size. Explain their thinking.
Find the value of x in each pair of similar figures. (Lesson 3A)
17.#$"%45 yd
15 yd
98;:Yyd
9 yd18.4655 mm4 mm&% '6 mmYmm- GEOGRAPHY Omaha, Nebraska, and Sioux City, Iowa, are 90 miles apart. If
the distance on the map is 1 ^12 inches, find the scale of the map.(Lesson 2B)
14. Two rectangular pieces of wood are
similar. The ratio of the perimeters of
the two pieces is 2 : 3. If the area of the
smaller piece is 12 square inches, what
is the area of the larger piece?
A. 8 in^2 C. 27 in^2
B. 18 in^2 D. 36 in^2
15. A photograph is enlarged to three times
the size of the original. Which of the
following statements is true?
F. The area of the enlargement is three
times the area of the original.
G. The area of the enlargement is six
times the area of the original.
H. The area of the enlargement is nine
times the area of the original.
I. The area of the enlargement is
twelve times the area of the original.
16. SHORT RESPONSE A smaller copy of
the 3-foot by 5-foot school flag at Brook
Park Middle School is being made to
appear on the front of the students’
homework agenda books. The
dimensions of the copy are to be
^16 of the school flag.
B
R
O
O
K^
PARK (^) EA
G
LE
S
3 ft
5 ft
How many times larger is the area of the
flag than the area of the copy?
293_303_C05_L3_895130.indd 302 12/29/09 1:10 PM