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Published byMarilyn Crawford Modified over 5 years ago
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Similarity Similarity Similarity Similarity Similarity
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Similar Not Similar
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Equiangular Similar triangles 1 So..similar ---- 3 Enlarge 4.5
Scale factor k = 4.5 cm 3 cm 3 k = 1.5 x = 1.5 X 2.2cm 2.2cm = 3.3 cm x cm
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Parallel lines So equiangular Similar triangles 2 So similar ---- 3
Slide them apart Add new sizes Enlarge 4.5 ---- Scale factor k = 3 cm 3 k = 1.5 4.5 cm 2.2cm 2.2cm x = 1.5 X 1.5 cm = 3.3 cm x cm x cm
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Parallel lines So equiangular Similar triangles 3 So similar ---- 2.2
Slide them apart Add new sizes Enlarge 3.3 Scale factor k = ---- 3 cm 2.2 k = 1.5 y cm 2.2cm 3cm y = 1.5 X x cm = 4.5cm x = cm 3.3 cm 3.3 cm x = 1.5
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Parallel lines So equiangular Similar triangles 4 So similar ---- 4.5
3.3 cm Identify corresponding sides Reduce 3 ---- Scale factor k = 4.5 cm 4.5 k = 2/3 3.3 cm x = 2/3 X 3 cm = 2.2 cm x cm
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Similar Area New area is K2 X the old area Maths homework tonight…
Enlarge Scale factor k = 2 New area is X the old 4 New area is X the old 22 New area is K2 X the old area
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Similar Area New area is K2 X the old area Enlarge Scale factor k = 3
New area is X the old 9 New area is X the old 32 New area is K2 X the old area
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Similar Area New area is K2 X the old area Maths homework tonight…
Reduction Scale factor k = ½ New area is X the old New area is X the old ½2 New area is K2 X the old area
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Similar Area 1 ---- 28cm2 3 Enlarged 6 Scale factor k = k = 2 Area is
? 28cm2 6 Scale factor k = ---- 3 7cm2 k = 2 Area is k2 X original 3 cm 6 cm = 22 X as big = 4X 7cm2 = 28cm2
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Similar Area 2 ---- 9 Reduced 81cm2 6 Scale factor k = k = 2/3 Area is
k2 X original = (2/3)2 X as big 9 cm 6 cm = (4/9)X 81cm2 = 36cm2
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Similar Volume New Volume is K3 X the old volume
Enlarge Scale factor k = 2 New volume is X the old 8 New volume is X the old 23 New Volume is K3 X the old volume
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Similar Volume 1 K3 8 cm 200 24 cm ? Enlarge Scale factor k =24/8
New volume = X the old = X 200ml 33 = X 200ml = litres
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Similar Volume 2 K3 K3 £1.62 £ 0.48 ? 6 cm 4 cm
Reduce Scale factor k = 4/6 k = 2/3 New price = X the old price K3 K3 New Volume = X the old Volume = X £1.62 (2 /3) 3 = 8/27 X £1.62 = £ 0.48
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3 Formulae New Length = K1 X old length New Area = K2 X old area
New Volume = K3 X old volume
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