Exercise
Dilations in Real-World Coordinate Scenarios
Solve practical scenarios that model dilations on a coordinate grid. Apply scale factors and coordinate transformations to contextual problems.
Questions
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MultiChoice
A blueprint uses a scale factor of k = 50. If a room wall on the blueprint is 2 cm, what is the actual wall length?
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MultiChoice
A map has a scale factor of k = 1/1000. If two cities are 3000 cm apart in real life, how far apart are they on map?
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MultiChoice
A photo of area 6 sq cm is enlarged on a coordinate grid by scale factor k = 5. What is the new area?
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MultiChoice
A graphic designer shrinks a logo from 20 cm wide to 2 cm wide. What scale factor was applied?
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MultiChoice
A park feature is modeled at (2, 3) on a grid. A scale factor k = 15 projects it to real coordinates. Find real position.
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MultiChoice
A digital image is zoomed in with scale factor k = 20. How many times larger is the displayed pixel area?
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MultiChoice
A 16x20 poster is reduced to a 4x5 flyer. What is the scale factor of this reduction?
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MultiChoice
A microscope magnifies an insect leg by scale factor k = 8. If the image is 192 mm, what was actual size in mm?
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MultiChoice
If a shadow on a grid coordinate plane expands by scale factor k = 3, how much does shadow area increase?
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MultiChoice
An architect dilates a garden layout with vertices at (2, 3) by k = 4 centered at origin. Find new vertex coordinates.
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MultiChoice
A model train track of length 80 cm corresponds to real track of 120 cm. What scale factor maps model to real?
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MultiChoice
If a land plot area on a map is 1/16 of its real area, what is the map scale factor k for boundary lengths?