Additional Practice Journal page 13
Stretching and Shrinking Investigations 1 & 2
date
Refer to the rectangle at the right to answer the following questions.
1) Give the length and width of a larger similar rectangle.
Explain your reasoning.
2) Give the length and width of a smaller similar rectangle.
Explain your reasoning.
3) Give the length and width of a rectangle that is NOT similar to this one.
Explain your reasoning.
Figure VWXYZ is an
enlargement of figure ABCDE.
4) Name all the pairs of corresponding sides
and all the pairs of corresponding angles of the two figures.
CORRESPONDING SIDES
CORRESPONDING ANGLES
SAS JOURNAL page 14- Additional Practice Investigations 1 & 2 continued
5) Draw a square.
6) Then draw a square with a side length that is twice the side length of the original square.
7) How many copies of the smaller square will fit inside the larger square? ________
8) Will you get the same answer for #7 no matter what side length you choose for the
original square? Explain your reasoning.
9) Draw any rectangle that is NOT a square.
10) Draw a similar rectangle by applying a scale factor of 3 [use the rule (3x, 3y)]
to the original rectangle.
11) Label the dimensions on both rectangles.
12) How many copies of the original rectangle will fit inside the new rectangle? _______
13) Will you get the same answer for #12 no matter what rectangle you use as the original
rectangle? Explain your reasoning.
SAS JOURNAL page 15- Additional Practice Investigations 1 & 2 continued
14) Make a figure by connecting the following
sets of points on a coordinate grid:
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)
15) Suppose you used the rule (6x, 6y) to transform this figure into a new figure. How would
the ANGLES of the new figure compare with the angles of the original?
16) Suppose you used the rule (6x, 6y) 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?
17) Suppose you used the rule (6x, 6y) to transform this figure into a new figure. Would the
new figure be similar to the original? Explain
18) Suppose you used the rule (3x + 1, 3y – 4) to transform this figure into a new figure. How
would the ANGLES of the new figure compare with the angles of the original?
19) Suppose you used the rule (3x + 1, 3y – 4) 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?
20) Suppose you used the rule (3x + 1, 3y – 4) to transform this figure into a new figure.
Would the new figure be similar to the original? Explain
SAS JOURNAL page 16- Additional Practice Investigations 1 & 2 continued
Carl made shape B by making a photocopy of shape A.
21) What percent did he enter in the copier?
Use a piece of paper to help you measure and estimate.
Circle the best estimate.
A. 150%
B. 75%
C. 50%
D. 30%
22) Amy made a photocopy of shape A by entering 250% into the photocopier.
SKETCH the copy she got.
Find the given percent of each number.
Show your work (show what you entered on your calculator)
23) 20% of 560
26) 40% of 70
29) 40% of 200
24) 42% of 200
27) 25% of 80
30) 5% of 80
25) 9% of 50
28) 50% of 80
31) 75% of 200