Math Models: Scale Factor HW
Name_______________________________
Block________Date___________________
Are the following polygons similar? Justify your answer. Show scale factors and mark congruent angles.
12m
1.
2.
3.
15ft
12cm
45
75
18ft
21ft
9m
8cm
28ft
24ft
16m
6cm
20ft
12m
120
9cm
105
SHOW ALL WORK on the following problems.
4.
A regular pentagon with a side 2ft 4in long
is to be enlarged to a regular pentagon with
a perimeter of 56ft. Are the two polygons
similar? If so, find the scale factor.
6.
f varies directly as m. If f is 17.6 and m is 12.4,
what is the constant of variation? Express your
answer as a fraction AND as a decimal.
5.
The dimensions of a college football
field are 360’ by 160’. An arena
football field has dimensions of
50yards by 25 yards. Are the fields
similar? If so, find the scale factor.
7.
In May Mars will be about
1.48  108 km from earth. This is
about 619.6 times the average
distance from earth to the Moon.
About how far away is the Moon?
Solve for x in each problem and find the angles. SHOW YOUR WORK!
8.
9.
(3x + 10)
52
(5x + 4)
x
10.
(x2 + 45)
(2x + 100)
11.
VH is a base of Trapezoid AGHV. Sketch Trapezoid AGHV. What is the other base?
If m  V = 23º and AG is perpendicular to GH , find m A and m H.
12.
13.
46
x
x
126
68
14. Find the measure of each angle in ABC.
North
B 128
27
West
East
A
C