Download 6.3 Review Worksheet

Geometry 6.1 – 6.3 Review Worksheet
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1) Simplify the ratio. (Be careful of units!!)
a)
b) 3 gallons: 10 quarts
10 in.
2 ft
c) 28 oz: 2 lb
2) Use the number line to find the ratio of the distances.
a)
BF
CD
b)
AB
CF
c)
DE
AC
d)
3) A rectangle has a length of 15cm. Another rectangle is drawn using a scale factor of
3
. What is the
5
length of the second rectangle.
4) The measures of the angles of a triangle are in the extended ratio given.
Find the measures of the angles of the triangle.
a) 1:7:10
b) 5 : 6 : 7
c) 7:14:15
5) Solve the proportion.
a)
4 x

5 15
b)
5 20

8
y
c)
BE
AD
z  2 27

4
12
6) Solve the proportion.
a)
3
1

x x6
b)
3
2

m  5 m 1
c)
2
5

k  1 3k  4
d)
12 x

x
4
e)
y  2 2y  3

2
5
f)
8
z2

z2
4
7) The ratio of two side lengths for the triangle is given. Solve for the variable.
a) AC : AB is 3:4.
8) Complete the statement.
6
6 5
a) If  , then 
5
x y
b) AB : CB i s 2 : 1.
b) If
c) AC : BC is 7:4.
x
x
y
 , then 
12 2
y
9) Use the diagram and the given information to find the unknown length.
a) Given
AB AE

find BC.
BC ED
b) Given
AB AE

find BC
BC ED
c) Given
FD CD

find BE.
EF BE
d) Given
AB FE

find AC.
BC ED
10) Kenny purchases a scale model of a train. The model states that the scale is 1 inch: 5.4 feet.
a) If the model is 10 inches long, how long is the actual train?
b) The actual height of the train is 13.5 feet, how tall is the model?
11) In November, 2005, the exchange rate of Mexican pesos to U.S. dollars was 10.77 to 1. While on vacation,
you paid 205 pesos for a sombrero at a gift shop. What was the price of the sombrero in U.S. dollars?
12) In November, 2005, the exchange rate of Canadian dollars to U.S. dollars was 1 to 0.85. A Canadian
citizen paid $12.28 in U.S. dollars for lunch while visiting New York City. What was the price of the
lunch in Canadian dollars?
13) List all pairs of congruent angles for the figures. Then write the ratios of the corresponding sides in
a statement of proportionality.
a) ABC  DFE
b) WXYZ ~ MNOP
14) In the diagram, WXYZ  MNOP.
a) Find the scale factor of WXYZ to MNOP.
c) Find the perimeter of WXYZ.
b) Find the values of x, y, and z.
d) Find the perimeter of MNOP.
e) Find the ratio of the perimeter of MNOP to the perimeter of WXYZ.
15) In the diagram, ∆XYZ  ∆MNP.
a) Find the scale factor of XYZ to MNP.
b) Find the unknown side lengths of both triangles.
c) Find the length of the altitude shown in XYZ.