Mathematics99 views·Updated Jun 15, 2026·3 pages

Understanding Scaled Copies: A Beginner's Guide

Emily Kreitzer@milyreitzer_wvgn

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Scaled copies are figures that maintain the same shape but...

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Sept
7

- Math Uurt ONE -

- Sealed Copies -

What Specific information do you look
For When determoning. 16 something
a Scaled copy?

A Sca

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 Jun 15, 2026·3 pages

Understanding Scaled Copies: A Beginner's Guide

Emily Kreitzer@milyreitzer_wvgn

Add to Google sources

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...

of 3

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.

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.

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!

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.

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.

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.