7th Grade Math

(Marvins-Underground-K-12) #1

Test PracticeT


302 Proportions and Similarity

C 11. OPEN ENDED Draw and label two similar figures with a scale factor of _^56.
Find the perimeter and area of each figure.


  1. CHALLENGE Two circles have circumferences of π and 3π. What is the ratio
    of the area of the circles? the diameters? the radii?

  2. 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
9

8;

:

Yyd
9 yd

18.

46

5

5 mm

4 mm

&

% '

6 mm

Ymm


  1. 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

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