Name: ________________________ Class: ___________________ Date: __________
ID: A
Stretching and Shrinking Partner Quiz Study Guide
Short Answer
1. The Polygon Tool and Die company has created a new logo (a symbol for their company). They want to
stamp their logo on small, medium, and large pieces of equipment. The size of the logo must match the size
of the equipment, but the logos must all be similar. Design a logo for Polygon Tool and Die, and sketch three
similar figures for the logo. Explain how you know they are similar.
2. The three rectangles below are similar. Find the missing measurements.
a=
b=
3. Complete the table below.
4. A rectangle has dimensions of 1 and 6. Another rectangle was drawn from it using a scale factor of 1.5.
a. The area of the large rectangle is how many times the area of the small rectangle?
b. The perimeter of the large rectangle is how many times the perimeter of the small rectangle?
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Name: ________________________
ID: A
5. Mariella is a character in the Amusement Park video game. She is made according to these coordinates:
Body
A (4, 0)
B (5, 7)
C (7, 5)
D (8, 6)
E (5, 9)
F (6, 9)
G (6, 13)
H (2, 13)
I (2, 9)
J (3, 9)
K (0, 6)
L (1, 5)
M (3, 7) (connect to A)
Eyes
Q (3, 12) (make a small circle)
R (5, 12) (make a small circle)
Mouth (connect in order)
S (3, 10) U (5, 11)
T (3, 11) V (5, 10)
a. Draw Mariella on grid paper.
b. Mariella is in the Fun House. When she passes through the Mystic Gateway, she undergoes an
enlargement that is similar to the original Mariella. Write a rule that producers of the video game could use to
enlarge Mariella. (The new image must fit on a sheet of grid paper.)
c. Explain how you know that the enlargement is similar to the original Mariella.
d. When Mariella gets caught in the Distortion Room, she is no longer similar to the original Mariella.
Write a rule that would transform Mariella when she is in the Distortion Room.
e. How do you know that the distorted figure is not similar to the original Mariella?
6. Make a figure by connecting the following sets of points:
Set 1: (8,5), (8,8), (0,8), (0,5), (8,5)
Set 2: (4,6), (8,2), (0,2), (4,6)
Set 3: (2,6), (1,6), (1, 7), (2,7), (2,6)
Set 4: (6,6), (7,6), (7,7), (6,7), (6,6)
a. Suppose you used the rule ÊÁË 6x,6y ˆ˜¯ to transform this figure into a new figure. How would the angles
of the new figure compare with the angles of the original?
b. Suppose you used the rule ÊÁË 6x,6y ˆ˜¯ to transform this figure into a new figure, how would the side
lengths of the new figure compare to the side lengths of the original?
c. Suppose you used the rule ÊÁË 6x,6y ˆ˜¯ to transform this figure into a new figure. Would the new figure
be similar to the original? Explain your reasoning.
d. Suppose you used the rule ÊÁË 3x + 1,3y − 4 ˆ˜¯ to transform the original figure into a new figure. How
would the angles of the new figure compare with the angles of the original?
e. Suppose you used the rule ÊÁË 3x + 1,3y − 4 ˆ˜¯ to transform the original figure into a new figure. How
would the side lengths of the new figure compare to the side lengths of the original?
f. Suppose you used the rule ÁÊË 3x + 1,3y − 4 ˜ˆ¯ to transform the original figure into a new figure. Would
the new figure be similar to the original? Explain your reasoning.
7. Recall that Zug Wump was made from Mug Wump using a scale factor of 2. What is the scale factor from
Zug to Mug? Explain your reasoning.
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Name: ________________________
ID: A
8. a. Wendy drew a very large Wump using the rule ÊÁË 8x,8y ˆ˜¯ . She said that the scale factor from Mug to her
Wump was 8 and that the scale factor from Zug to her Wump was 4. Do you agree with Wendy? Explain
your reasoning.
b. Wendy could not figure out the scale factor from Bug Wump to her new large Wump. What is this scale
factor?
9. On grid paper, make a right triangle with legs of length 8 and 12.
a. Give the leg lengths of two smaller right triangles that are similar to the one you drew and that have
whole-number side lengths.
b. Copies of each smaller triangle can be put together to exactly match the original triangle. How many
of each smaller triangle does it take to match the original?
10. On centimeter grid paper, make an isosceles triangle with base and height both equal to 6 centimeters.
a. Can isosceles triangles with base and height equal to 2 centimeters be put together to exactly match
the shape of the original triangle? Is each smaller triangle similar to the original?
b. Can isosceles triangles with base and height equal to 4 centimeters be put together to exactly match
the shape of the original triangle? Is each smaller triangle similar to the original?
c. Can copies of the triangle below be put together to exactly match the shape of your original isosceles
triangle? Is this triangle similar to the original?
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