Name: ____________________________
Date: _______________
Period: ________
Scale Factor Review- Homework
1) What is the length of VU ?
2) How high is the ramp when it is 2 feet from the
3) The original figure PLAY is shown below with coordinates P(–4, 2), L(2, 4), A(2, –4), Y(–4, –2) .
If a scale factor of ¼ is applied, what would be the algebraic representation for this dilation.
A
B
C
D
(x, y)  (4x, 4y)
(x, y)  (x + ¼ , y + ¼)
(x, y)  (¼x, ¼y)
(x, y)  (.5x, .5y)
1
4) Polygon ABCD is similar to polygon FGHI. Each side of polygon ABCD is 3 4 times longer than the
corresponding side of polygon FGHI. Determine the perimeter of polygon ABCD.
A 42.25 in
B 32.5 in
C 13 in
D 26 in
5) A square has vertices J (–1, 4), U (5, 4), M (5, –2), P (–1, –2). After a dilation, square JUMP has vertices
J’ (–0.5, 2), U’ (2.5, 2), M’ (2.5, –1), P’ (–0.5, –1). What is the scale factor of the dilation? Write it as an
algebraic representation.
6) Ms. Cordova draws a rectangle with dimensions 16 in by 24 in. Kevin draws a new rectangle with
dimensions 32 in by 48 in.
 The scale factor Kevin used to create his rectangle was _________.
 To find Kevin’s perimeter we would multiply Ms. Cordova’s perimeter by __________.
 To find Kevin’s area we would multiply Ms. Cordova’s area by__________.
7) Fina is an architect. She drew quadrilateral ABCD to represent a window. Then, using the origin as the
center, she dilated it to obtain the larger quadrilateral A’B’C’D’.
Choose one correct answer from each pair of statements.
 32  the perimeter of A’B’C’D’.
The perimeter of A’B’C’D’ is  32  the perimeter of ABCD.
A) The perimeter of ABCD is
B)
______________________________________________________
 32 2 the area of ABCD.
2
The area of ABCD is  32  the area of A’B’C’D’.
A) The area of A’B’C’D’ is
B)
______________________________________________________
 23  the perimeter of A’B’C’D’.
The perimeter of A’B’C’D’ is  23  the perimeter of ABCD.
A) The perimeter of ABCD is
B)
______________________________________________________
 23 2 the area of ABCD.
2
The area of ABCD is  23  the area of A’B’C’D’.
A) The area of A’B’C’D’ is
B)
8) Polygon PQRS has vertices P(-4, -2), Q(3, -2), R(3, 6) and S(-4, 6). Polygon PQRS is dilated using the
origin as the center of dilation. The image is polygon P’Q’R’S’, and has coordinates P’(-10, -5),
Q’(7.5, -5), R’(7.5, 15), and S’(-10, 15). Finish the statements to describe the transformation of the
polygon.
A) The perimeter of PQRS was dilated by a factor of ___________ to obtain the perimeter of P’Q’R’S’.
B) The perimeter of P’Q’R’S’ was dilated by a factor of ___________ to obtain the perimeter of PQRS.
C) The area of P’Q’R’S’ was dilated by a factor of ___________ to obtain the area of PQRS.
D) The area of PQRS was dilated by a factor of ___________ to obtain the area of P’Q’R’S’.
9) A middle school parking lot is 400 feet long and 200 feet wide. The school board is enlarging it to an
800 feet long and 400 feet wide parking lot. Fill in the following statements to describe the changes
in perimeter and area of the new parking lot.
A) The perimeter of the new parking lot will be __________times that of the original parking lot.
B) The perimeter of the original parking lot will be __________ of the new parking lot.
C) The area of the original parking lot will be __________ of the new parking lot.
D) The area of the new parking lot will be __________times that of the original parking lot.
10)
On a park map, a picnic area is represented by a rectangle with the coordinates P(0,0), A(0,4),
R(6,4), and K(6,0). The park is going to be renovated and the picnic sides will be half of the original
size. Fill in the statements to represent the dilation of the park.
A) The perimeter of the original park will be __________times that of the new park.
B) The perimeter of the new park will be __________ of the original park.
C) The area of the new park will be __________ of the original park.
D) The area of the original park will be __________times that of the new park.