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Name ___________________________
Date _________________
Block _______
Dimensional Changes Worksheet
Use the figures below to answer questions #1-9
1. Find the scale factor of the sides.( EFGH / ABCD)
A
10 cm
B
5 cm
2. Find the perimeter of ABCD
E
30 cm
F
15 cm
D
C
H
G
3. Find the perimeter of EFGH
4. Find the scale factor of the perimeters (EFGH / ABCD)
5. How does the scale factor of the sides compare to the scale factor of the perimeter?
6. Find the area of ABCD
7. Find the area of EFGH
8. Find the scale factor of the areas (EFGH/ABCD)
9. How does the scale factor of the sides compare to the scale factor of the area?
10. Given: ΔABC ~ ΔEBD.
Solve for x =____________
Solve for y =___________
Determine the similarity ratio:_____________________
Ratio of Perimeters of ΔEBD : ΔABC ____________
Ratio of Areas of : ΔEBD ____________
Find the Area of ΔABC_______________ (remember A = 1 bh)
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11. Given that △RST ∼ △UVW, find the:
perimeter of △UVW
area of △UVW
12. The ratio of two similar polygons is 3:5. The perimeter of the larger polygon is 150 centimeters.
What is the perimeter of the smaller polygon?
13. Given that pentagon ABCDE ∼ pentagon FGHJK, find each of the following.
perimeter of pentagon FGHJK
area of pentagon FGHJK
14. The scale of two similar quadrilaterals is 1:4. The perimeter of the smaller quadrilateral is 80
centimeters. What is the perimeter of the larger quadrilateral?
15. The ratio of the area of 2 similar polygons are in a ratio of 100: 25. What is the ratio of their
perimeters?
16. If the dimensions of a rectangle with a perimeter of 24 inches are tripled,
What will be the effect of change on the new area?
17. Describe the effect on the area of a circle when the radius is tripled.
18. The kiddie pool and the lap pool at Centerville Park are similar rectangles.
The lap pool measures 36’(width) x 48’ (length). The kiddie pool is 8ft long.
a) How long wide is the kiddie pool?
b) What is the ratio of the perimeters of the lap pool to the kiddie pool?
c) What is the ratio of the areas of the kiddie pool to the lap pool?
19 . Given: Hexagons ABCDEF ~ PQRSTU with side ratio of 14:5.
a) What is the ratio of their perimeters?
b) Find the value of y.
c) What is the ratio of their areas?
d) Find the value of x.
20. If the volume of a cube is increased by a factor of 8, what is the change in the length of the
sides of the cube?
21. The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3
centimeters longer, about how much greater is its volume, to the nearest cubic centimeter?
22. A rectangular solid has a volume of 768 cubic meters. If the length, width, and height
are all changed to 1 their original size, what will be the new volume of the rectangular solid?
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