Parallelogram AB'C'D' was obtained by dilating parallelogram
ABCD using A as the center of dilation.
a) What was the scale factor of the dilation?
k=_______
b) How many congruent copies of ABCD fit inside A'B'C'D'? _______
c) How does the area of parallelogram AB'C'D' compare to parallelogram ABCD?
It is _______ times as big.
d) If parallelogram ABCD has area 12 square units, what is the area of parallelogram AB'C'D'?
Area=_______ square units
1 point
1
Question 2
2.
A circle with an area of 8\pi square centimeters is dilated so that its image has an area of 32\pi square centimeters. What is the scale factor of the dilation?
…
5 points
5
Question 3
3.
A rectangle with area 12 square units is dilated by a scale factor of k. Find the area of the image for each given value of k.
a) k=2 _______ square units
b) k=5 _______ square units
c) k=1 _______ square units
d) k=\frac{1}{4} _______ square units
e) k=1.2 _______ square units
5 points
5
Question 4
4.
A trapezoid has an area of 100 square units. What scale factor would be required to dilate the trapezoid to have each area?
a) 6400 square units k=_______
b) 900 square units k=_______
c) 100 square units k=_______
d) 25 square units k=_______
e) 4 square units k=_______
4 points
4
Question 5
5.
A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a) k=4 Area=_______ square units
b) k=1.5 Area=_______ square units
c) k=1 Area=_______ square units
d) k=\frac{1}{3} Area=_______ square units (Enter area as a fraction.)
2 points
2
Question 6
6.
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar. Double the dimensions of the box.
Approximately how much paint would the new box need? _______ oz. of paint.
How much sugar would it hold? _______ cups of sugar.
5 points
5
Question 7
7.
A solid with volume 12 cubic units is dilated by a scale factor of k. Find the volume of hte image for each given value of k.
a) k=\frac{1}{4} Dilated volume = _______ cubic units (Leave answer as a fraction)
b) k=.4 Dilated volume = _______ cubic units
c) k=1 Dilated volume = _______ cubic units
d) k=1.2 Dilated volume = _______ cubic units
e) k=\frac{5}{3} Dilated volume = _______ cubic units (Leave answer as a fraction)
3 points
3
Question 8
8.
Select all expressions which give the measure of angle A.
2 points
2
Question 9
9.
A solid's volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Use exact values if possible.
How many times bigger is the scaled solid compared to the original? _______
What is the volume of the image? _______
5 points
5
Question 10
10.
A parallelogram has an area of 10 square feet.
Complete the table that shows the relationship between the dilated area (x) and the scale factor (y).
Dilated area
0 \rightarrow SF= _______
40 \rightarrow SF= _______
160 \rightarrow SF= _______
360 \rightarrow SF= _______
640 \rightarrow SF= _______
2 points
2
Question 11
11.
A regular hexagon is inscribed in a circle of radius 1 inch. What is the area of the blue shaded region?