What type of transformation of a geometric figure can you relate to a scale drawing?
A. Reflection
B. Rotation
C. Translation
D. Dilation
What scale factor will produce a dilated image that is smaller than the original image?
A. A negative scale factor
B. A scale factor less than 1
C. A scale factor greater than 1
D. A scale factor equal to 1
Answers:
#1. D: dilation
#2. A: It is a dilation that increases the size of the object.
#3. D: 64 inches
#4. A: 90 cm
#5. B: A scale factor less than 1
D. Dilation
How dose a scale drawing that is larger than the object it represents relate to a geometric transformation?
A. It is a dilation that increases the size of the object.
B. It is a dilation that moves the object to the right and down.
C. It is a dilation that maintains the size of the object.
D. It is a dilation that decreases the size of the object.
D. It is a dilation that decreases the size of the object.
If you dilate a rectangle with a width of 16 inches using a scale factor of 4, what will be the width of the dilated rectangle?
A. 12 inches
B. 4 inches
C. 20 inches
D. 64 inches
The width of the dilated rectangle can be found by multiplying the scale factor by the original width of the rectangle.
Scale factor = 4
Original width = 16 inches
Width of dilated rectangle = Scale factor * Original width
Width of dilated rectangle = 4 * 16
Width of dilated rectangle = 64 inches
Therefore, the correct answer is D. 64 inches.
If you use a scale factor of 1/5 to create a circle with radius 18 cm, what is the radius of the original circle you dilated?
A. 90 cm
B. 3.6 cm
C. 180 cm
D. 9 m
The radius of the original circle can be found by multiplying the scale factor by the radius of the dilated circle.
Scale factor = 1/5
Radius of dilated circle = 18 cm
Radius of original circle = Scale factor * Radius of dilated circle
Radius of original circle = (1/5) * 18
Radius of original circle = 3.6 cm
Therefore, the correct answer is B. 3.6 cm.