Unit 9—Similarity
Name ____________________________
PERIMETER and AREA of SCALED FIGURES
__________________________________________________________________________________________
1. Several rectangles were enlarged or reduced to the following dimensions shown in the table below.
Find the scale factor that was used to enlarge or reduce each of the following scaled rectangles.
Scale Factor:
Original (Pre-Image) Rectangle
Post-Image Rectangle
Scale Factor =_________
4 by 34
2 by 17
Scale Factor =_________
4 by 26
10 by 65
Scale Factor =_________
5 by 15
6 by 18
12 by 8
21 by 14
Scale Factor =_________
2. Use the diagram of the two scaled triangles below to answer the following questions:
a) What is the scale factor from Triangle A to Triangle B? ___________
b) What is the scale factor from Triangle B to Triangle A? ___________
c) Calculate the area and perimeter for Triangle A:
Area: ______________
Perimeter:_______________
d) Calculate the area and perimeter for Triangle B:
Area: ______________
Perimeter:_______________
e) What is the scale factor of the perimeter of Triangle A to the perimeter of Triangle B? __________
f) What is the scale factor of the area of Triangle B to the area of Triangle A? ____________
3. Use the diagram of the two scaled rectangles below to answer the following questions:
a) What is the scale factor from Rectangle A to Rectangle B? ____________
b) What is the scale factor from Rectangle B to Rectangle A? ____________
c) Calculate the area and perimeter for Rectangle A:
Area: ______________
Perimeter:_______________
d) Calculate the area and perimeter for Rectangle B:
Area: ______________
Perimeter:_______________
e) What is the scale factor of the perimeter of Rectangle A to the perimeter of Rectangle B? ___________
f) What is the scale factor of the area of Rectangle B to the area of Rectangle A? _____________
4. Use the diagram of the two scaled parallelograms below to answer the following questions:
a) What is the scale factor from Parallelogram A to Parallelogram B? ___________
b) What is the scale factor from Parallelogram B to Parallelogram A? ___________
c) Calculate the area and perimeter for Parallelogram A:
Area: ______________
Perimeter:_______________
d) Calculate the area and perimeter for Parallelogram B:
Area: ______________
Perimeter:_______________
e) What is the scale factor of the perimeter of Parallelogram A to the perimeter of Parallelogram B? __________
f) What is the scale factor of the area of Parallelogram B to the area of Parallelogram A? ____________
5. Use the diagram of the two scaled circles below to answer the following questions:
a) What is the scale factor from Circle A to Circle B? ___________
b) What is the scale factor from Circle B to Circle A? __________
c) Calculate the circumference and area for Circle A (leave your answer in terms of  ):
Circumference: ______________
Area:_______________
d) Calculate the circumference and area for Circle B (leave your answer in terms of  ):
Circumference: ______________
Area:_______________
e) What is the scale factor of the circumference of Circle A to the circumference of Circle B? __________
f) What is the scale factor of the area of Circle B to the area of Circle A? ____________
6. Use the diagram of the two scaled trapezoids below to answer the following questions:
a) What is the scale factor from Trapezoid A to Trapezoid B? ___________
b) What is the scale factor from Trapezoid B to Trapezoid A? __________
c) Calculate the area and perimeter for Trapezoid A:
Area: ______________
Perimeter:_______________
d) Calculate the area and perimeter for Trapezoid B:
Area: ______________
Perimeter:_______________
e) What is the scale factor of the perimeter of Trapezoid A to the perimeter of Trapezoid B? __________
f) What is the scale factor of the area of Trapezoid B to the area of Trapezoid A? ____________