NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Practice 8.3(B)
SCORE__________
Compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane.
Multi-Step Example
Rectangle WXYZ is dilated by a scale factor of 3. What is the area of rectangle W′X′Y′Z′? How does
the area of rectangle W′X′Y′Z′ compare to the area of rectangle WXYZ?
Determine the length and width of the rectangle WXYZ.
̅̅̅̅̅
𝑋𝑊 is 2 units and segment ̅̅̅̅̅
𝑊𝑍 is 3 units. So, the area of rectangle WXYZ is 2 • 3 or 6 square units.
To find the length and width of rectangle W′X′Y′Z′, multiply the length and width of rectangle WXYZ
by the scale factor.
̅̅̅̅̅̅̅
𝑋′𝑊′ is 2 • 3 or 6 units and ̅̅̅̅̅̅
𝑊′𝑍′ is 3 • 3 or 9 units. So, the area of rectangle W′X′Y′Z′ is 9 • 6 or
54 square units.
54
The area of rectangle W ′X′Y′Z′ is 6 = 9 times greater than the area of rectangle WXYZ. Notice 9 is the
result of squaring the scale factor: 32 = 9.
1 Rectangle DEFG is dilated by a scale factor of 2.
What is the area of rectangle D′E′F′G′?
A 3 square units
B 8 square units
2 What is the scale factor of the dilation shown below?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
C 12 square units
D 16 square units
Course 3 • Number and Operations
TX21
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Practice 8.3(B) (continued)
1
3 Rectangle QRST is dilated by a scale factor of 2. What
is the perimeter of rectangle Q′R′S′T′?
SCORE ___________
6 A rectangle with vertices Q(4, 2), R(4, –3), S(–2, –3),
and T(–2, 2) is dilated by a scale factor of 1.25. What
is the perimeter of rectangle Q′R′S′T′?
F 22 units
G 27.5 units
H 30 units
J 37.5 units
F 3 units
G 5 units
H 6 units
J 10 units
4 A square with vertices F(3, 3) , G(3, −1) , H (−1, −1) ,
and J( −1, 3) is dilated by a scale factor of 2.5. What is
the area of square F′G′H′J′, in square units?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
5 A triangle with vertices M(0, 5) , N(0, 0) , and P(4,0) is
dilated by a scale factor of 0.5. Which is a true
statement?
7 A triangle with vertices T(–1, 4) , U(–1, –1) , and
V(3, –1) is dilated by a scale factor of 1. Which is a
true statement?
A The perimeter of triangle T′U′V ′ is twice the
perimeter of triangle TUV.
B The perimeter of triangle T′U′V′ is half the area of
triangle TUV.
C The perimeter of triangle T′U′V′ is the same as the
perimeter of triangle TUV.
D The perimeter of triangle T′U′V′ is one-third the
perimeter of triangle TUV.
1
8 Triangle ABC is dilated by a scale factor of 2. What is
the area of triangle A′B′C?
A The area of triangle M′N′P′ is twice the area of
triangle MNP.
B The area of triangle M′N′P′ is half the area of
triangle MNP.
C The area of triangle M′N′P′ is four times the area
of triangle MNP.
F 4.5 square units
D The area of triangle M′N′P′ is one-fourth the area
of triangle MNP.
G 9 square units
H 10.125 square units
J 40.5 square units
TX22
Course 3 • Number and Operations
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Practice 8.3(B)
SCORE ___________
Student Answer Document
Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and
fill in the bubbles to match your answers.
1
4
2
5
3
6
7
8
Course 3 • Number and Operations
TX23