Stretching and Shrinking
48
On a map, two sites are 2 in apart. The scale factor is 1 in. : 24 mi. What is the actual distance?
4.5
The Museum of Science and Industry in Chicago has a scale model of a human heart that is large enough for people to walk through. The height of the scale model is 16 ft. The scale used is 1 ft : 9/32 in. What is the height of the actual heart on which the model is designed?
3
The bases of the 2 triangles are parallel. Find the length of x.
9
The picture of a car has a scale of 1 inch to 3 feet. If the picture measures 3 inches across, then how many feet long is the actual car?
24.5
The polygons are similar. Find x.
7
The polygons are similar. Find x.
9
The polygons are similar. Find x.
10
The scale of a model airplane is 1 in : 3.5 ft. The wingspan of the plane is 35 ft. What is the wingspan of the model?
enlargement
The term used to describe a dilation that is larger than the original
reduction
The term used to describe a dilation that is smaller than the original
18
These triangles are similar. Find x.
12
These triangles are similar. What is the length of the missing side?
2
These triangles are similar. What is the length of the missing side?
2.7
These triangles are similar. What is the length of the missing side?
24
These triangles are similar. What is the length of the missing side?
36
These triangles are similar. What is the length of the missing side?
4.5
These triangles are similar. What is the length of the missing side?
6
These triangles are similar. What is the length of the missing side?
7.2
These triangles are similar. What is the length of the missing side?
8
These triangles are similar. What is the length of the missing side?
1.5
What is the scale facor
1/2
What is the scale factor?
1/4
What is the scale factor?
1/5
What is the scale factor?
2
What is the scale factor?
2/3
What is the scale factor?
4
What is the scale factor?
2/3
A child's picnic table is a scale model of an adult picnic table. The child's picnic table is 22 inches tall, and the adult picnic table is 33 inches tall. What is the model's scale factor?
Similar Figure (Dilation)
A figure that has congruent angles and proportional sides to another figure, but it may be a different size
80
A museum of natural history is making a scale model of a carpenter ant. The scale used is 12.5cm:1mm. If the actual length of the ant is 6.4 mm, what is the length of the model?
20
A picture of a cake has a measurement of 8 inches across. Using a scale factor of 1: 2.5, how many inches across is the actual cake? (enter just the number, not the unit name)
108
A rectangular rabbit coop has a base with a length of 6 feet and a width of 2 feet. We are using a scale factor of 3:1 to build a new base for our growing rabbit family. What is the area of the new base?
1.25
A statue of Euclid's face has a scale factor of ¼ when comparing it to a picture of his face. If the statue of Euclid's face measures 5 inches across, then how many inches across is the picture? (enter as a decimal; do not enter the unit name)
48
A tree branch, compared to its picture, has a scale factor of 1/16. If the picture measures 3 inches across, how long is the actual tree branch? (do not enter the unit name)
315
A triangle has three 60 degree angles and three sides of length 60 cm. The triangle is dilated (made larger) with a scale factor of 1.75. What is the perimeter of the image?
5
If a map's scale is 1:5 then the scale factor from the map to the original scale is ?
12
If side AB was enlarged by a scale factor of 4. What would its new length be? (enter just the number, not the unit name)
