Similar Shapes (Edexcel GCSE Maths): Flashcards

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Similar shapes
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Definition of similar shapes

Same shape, different sizes; can be rotated/reflected

Key property of similar shapes

They maintain their proportions

Corresponding angles in similar shapes

All corresponding angles must be equal

Corresponding sides in similar shapes

All corresponding sides must be proportional (same ratio)

Conditions needed for shapes to be similar

Equal angles AND proportional sides (both required)

Triangle similarity: angle condition

All three angles in both triangles are equal

Triangle similarity: side condition

All three sides are in the same ratio

Triangle similarity: two sides + angle

Two sides proportional with same included angle between them

What does scale factor tell you

How much bigger or smaller one shape is than another

Scale factor formula

new lengthoriginal length\frac{\text{new length}}{\text{original length}}

Using scale factor to find missing side

Multiply corresponding known side by scale factor

Going from larger to smaller shape with scale factor

Divide by the scale factor

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