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Congreuncy and Similarites
by J Ffryteo
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Congreuncy and Similarites

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The corresponing vertices must be named in correct order

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E.g BCA is congruent to QRP

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The hypotenuse and a side of right-angled triangles are equal (RHS)

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Two angles and a corresponding side are equal (ASA,AAS,SAA)

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All three correspnding sides are equal (SSS)

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Two sides and included angle are equal (SAS)

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Two figures are similar if

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The corresponding angles are equal and

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When 2 figures are congruent, they are also similar

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However the converse is not true

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Similarity and Enlargement

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An enlargement is a transformation that changes the size of a figure

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If the scale factor is greater than 1, then the image is enlarged

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If the scale factor is between o and 1, then the image is reduced

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Areas of smilar figures

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A1 and A2 denotes the areas of 2 similar figures and l1 and l2 denote their corresponding lengths

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