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Scale drawings

Symmetry & scale drawings

Japanese school year: Elementary 6

What you learn

Learn how figures change in size while maintaining the same shape, examining corresponding side lengths and invariant angles. Scaled drawings are essential for interpreting maps, blueprints, and architectural models in everyday life. Reviewing ratios, proportions, and the properties of congruent figures will help you grasp this topic effectively.

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Key points

This describes the properties of scaled drawings (similar shapes). When a shape is scaled proportionally, all corresponding angles remain equal, and all corresponding side lengths share the same ratio.

This explains how to calculate the scale of a map or drawing. Divide the drawing length by the actual length, ensuring that both lengths use the same unit (such as cm or m) before dividing.

This is a method for drawing scaled shapes using a center point. Draw lines from a reference point to each vertex, then multiply each distance by the same factor (such as 22 or 1/21/2).

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