AQA · Mathematics · 8300
GCSE Maths: Similar shapes: further
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Similar shapes: further (Corbettmaths Video 294), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What property relates corresponding sides of similar shapes?
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Corresponding sides are in the same ratio (or have the same scale factor).
If two triangles are similar with AB = 4cm, AC = 5cm, and the corresponding side DE = 16cm, what is the scale factor from the first to the second triangle?
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The scale factor is 4 (since 16 ÷ 4 = 4).
When two triangles share a common vertex and have one pair of parallel sides, why are they similar?
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The parallel sides create corresponding equal angles (alternate angles), and they share an angle at the common vertex, making them similar by AA (angle-angle) similarity.
In similar shapes, if you know three side lengths of one shape and one corresponding side of another, what can you find?
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You can find the scale factor and use it to calculate all other corresponding sides of the second shape.
If triangle ABC is similar to triangle ADE where both triangles share vertex A, what is the relationship between their corresponding sides?
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The sides are proportional, with the ratio AB:AD = BC:DE = AC:AE.
Why are two triangles with two pairs of corresponding equal angles similar?
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By the AA (Angle-Angle) similarity criterion: if two angles are equal, the third must also be equal (since angles in a triangle sum to 180°), making all corresponding angles equal.
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