Scaled copies are figures that maintain the same shape but... Show more
Mathematics99 views·Updated May 29, 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.
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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.
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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.
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Mathematics99 views·Updated May 29, 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... Show more
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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 3Sign up to see the content. It's free!
- Access to all documents
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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...
What is the Knowunity AI companion?
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.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Mathematics
9Most popular content
9Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user