Scaled copies are figures that maintain the same shape but...
Mathematics99 views·Updated Aug 1, 2026·3 pagesUnderstanding Scaled Copies: A Beginner's Guide
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Emily Kreitzer@milyreitzer_wvgn
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Understanding Scaled Copies
A scaled copy happens when every length in the original figure gets multiplied by the same number. Think of it like zooming in or out on a photo while keeping everything proportional.
When looking at scaled copies, pay attention to corresponding parts - these are matching parts between the original figure and the copy. For example, Triangle DEF is a scaled copy of Triangle ABC because each side length in ABC was multiplied by 1.5 to get DEF's sides.
Corresponding angles are angles in the same positions on scaled copies. Even though the size changes, these angles stay the same! In our triangle example, Angle C and Angle F are corresponding angles.
Quick Tip: When examining scaled copies, always check that ALL measurements have been multiplied by the exact same scale factor. If even one measurement doesn't follow the pattern, it's not a true scaled copy.
2
of 3
Creating Scaled Copies
When drawing scaled copies, you simply multiply each measurement by the scale factor. If the scale factor is 3, you make everything three times bigger!
For Figure A with a scale factor of 3, you multiply each side length by 3. A 2-unit side becomes 6 units in the copy. Start at any vertex and work your way around the figure, multiplying each measurement.
When the scale factor is a fraction like 1/2, you're making a smaller copy. For Figure B with scale factor 1/2, a 6-unit side becomes 3 units. For angled sides, if you moved up 2 and right 2 in the original, you'd move up 1 and right 1 in the scaled copy.
Remember: The scale factor tells you exactly how much bigger or smaller to make each measurement. When the scale factor is greater than 1, you're enlarging; when it's less than 1, you're reducing.
3
of 3
Scale Factors and Proportions
Scale factors tell us the relationship between the original figure and its copy. A scale factor of 3 means the copy is three times larger than the original - we call this an enlargement.
When you reduce a figure (make it smaller), the scale factor is less than 1. All measurements in the copied figure will be proportionally smaller than the original.
In scaled copies, all corresponding distances follow the same scale factor - not just the sides, but any distance between points. This is what keeps the shape exactly the same while changing the size.
Important: Even though sizes change in scaled copies, the overall shape stays identical. A square scaled up is still a square - just bigger! This property makes scaled copies useful in everything from architecture to computer graphics.
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Mathematics99 views·Updated Aug 1, 2026·3 pagesUnderstanding Scaled Copies: A Beginner's Guide
E
Emily Kreitzer@milyreitzer_wvgn
Scaled copies are figures that maintain the same shape but have different sizes. This unit explores how to identify, create, and understand scaled copies in geometry - a concept you'll use in real life when working with maps, blueprints, or...
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Understanding Scaled Copies
A scaled copy happens when every length in the original figure gets multiplied by the same number. Think of it like zooming in or out on a photo while keeping everything proportional.
When looking at scaled copies, pay attention to corresponding parts - these are matching parts between the original figure and the copy. For example, Triangle DEF is a scaled copy of Triangle ABC because each side length in ABC was multiplied by 1.5 to get DEF's sides.
Corresponding angles are angles in the same positions on scaled copies. Even though the size changes, these angles stay the same! In our triangle example, Angle C and Angle F are corresponding angles.
Quick Tip: When examining scaled copies, always check that ALL measurements have been multiplied by the exact same scale factor. If even one measurement doesn't follow the pattern, it's not a true scaled copy.
2
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Creating Scaled Copies
When drawing scaled copies, you simply multiply each measurement by the scale factor. If the scale factor is 3, you make everything three times bigger!
For Figure A with a scale factor of 3, you multiply each side length by 3. A 2-unit side becomes 6 units in the copy. Start at any vertex and work your way around the figure, multiplying each measurement.
When the scale factor is a fraction like 1/2, you're making a smaller copy. For Figure B with scale factor 1/2, a 6-unit side becomes 3 units. For angled sides, if you moved up 2 and right 2 in the original, you'd move up 1 and right 1 in the scaled copy.
Remember: The scale factor tells you exactly how much bigger or smaller to make each measurement. When the scale factor is greater than 1, you're enlarging; when it's less than 1, you're reducing.
3
of 3Sign up to see the content. It's free!
- Access to all documents
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Scale Factors and Proportions
Scale factors tell us the relationship between the original figure and its copy. A scale factor of 3 means the copy is three times larger than the original - we call this an enlargement.
When you reduce a figure (make it smaller), the scale factor is less than 1. All measurements in the copied figure will be proportionally smaller than the original.
In scaled copies, all corresponding distances follow the same scale factor - not just the sides, but any distance between points. This is what keeps the shape exactly the same while changing the size.
Important: Even though sizes change in scaled copies, the overall shape stays identical. A square scaled up is still a square - just bigger! This property makes scaled copies useful in everything from architecture to computer graphics.
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
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