Similar shapes (Edexcel GCSE Maths): Flashcards

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Similar shapes
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Definition of similar shapes

Same shape, different sizes

Corresponding angles in similar shapes

Always equal

Corresponding sides in similar shapes

In the same ratio (proportional)

AAA condition for similar triangles

All three angles equal

Angles to check for similarity

Only 2 (3rd auto equal, angles sum 180°)

SSS condition for similar triangles

All three sides in same ratio

SAS condition for similar triangles

Two sides proportional + equal included angle

Included angle in SAS

Angle between the two sides being compared

Scale factor in similar shapes

Ratio between corresponding sides

Finding missing lengths in similar triangles

Set up proportional ratios and solve

Similar triangles when rotated/flipped

Still maintain angle and ratio relationships

How to solve ab=cd\frac{a}{b} = \frac{c}{d}

Cross multiply: a=c×bda = \frac{c \times b}{d}

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