Similar Polygons - District 196 e

Name: ____________________________
Similar Polygons
Determine whether each pair of polygons is similar. Explain.
1.
2.
Each pair of polygons is similar. Write and solve a proportion to find each missing
measure.
3.
4.
4x
5.
X+3
6.
2x - 4
7.
TILES A blue rectangular tile and a red rectangular tile are similar. The blue tile has a
length of 10 inches and a perimeter of 30 inches. The red tile has a length of 6 inches.
What is the perimeter of the red tile?
Name: ____________________________
1. WIDE Screen TV The ratio of the length of
a wide screen TV to its width is 16:9. Find
the width of a wide screen TV if the length
is 28 inches.
3.
GEOMETRY Polygon ABCD is similar to
polygon FGHI. Each side of polygon ABCD
is
times longer than the corresponding
side of polygon FGHI. Find the perimeter of
polygon ABCD.
5.
MAPS If a rectangular airfield measures
4.3 miles wide and 7.5 miles long. On a
map the width of the airfield is 3.75 inches.
How long is the airfield on the map?
2. ADVERTISING Richard drew a picture for
a billboard. The original drawing is 7 in
wide and 4 in tall. If the billboard is 40 feet
wide, how tall will the billboard be?
4.
KITES A toy company produces two kites
whose shapes are geometrically similar.
Find the length of the missing side of the
smaller kite.
6. ENLARGEMENT Lydia plans to enlarge a
small chart that she has made as part of her
science project. The original chart is 4
inches by 5 inches. If she wants her new
chart to fit on a piece of 8.5 by 11 paper,
what is the largest her new chart can be?