Find Odd Out Rectangles & Similar Shapes

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Discover which rectangle is the odd one out and explore similar shapes to determine the scale factor of enlargement. Engage in visual challenges to spot similar triangles and understand how shape enlargement affects interior angles.

  • Odd One Out
  • Similar Shapes
  • Scale Factor
  • Enlargement
  • Triangles

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Presentation Transcript


  1. Which rectangle is the odd one out? Why? A B C D

  2. The length is twice the width for rectangles A, B & D If we plotted the dimensions of rectangle C on a conversion graph it would not lie on the line. 12 9 Length 6 3 0 0 1 2 3 4 Width

  3. Rectangles A, B & D are similar A B C D The dimensions of rectangles A, B & D are in proportion

  4. When we enlarge shapes, do the interior angles of the shape change?

  5. When we enlarge shapes, interior angles dont change, only the side lengths. How has each shape been enlarged? Side Lengths 2 Scale Factor of Enlargement: 2 8 metres 4 metres 4 metres 2 metres Side Lengths 3 Scale Factor of Enlargement: 3 6 metres 2 metres 35 35

  6. These are similar shapes. What is the scale factor of enlargement? 6 cm 4 cm 15 cm 8 cm 8 4= 2 15 6= 5 2= 2.5

  7. These are similar shapes. What is the scale factor of enlargement? 4 cm 3 cm 12 cm 15 cm 12 4= 3 15 3= 5

  8. These are pairs of similar shapes. Find the scale factor of enlargement for each pair. These are similar shapes. What is the scale factor of enlargement? 12 cm 6 cm 2 A 3 cm 14 cm 2 cm B 7 15 cm 2.5 C 3.5 D 15 3= 5 1.2 6 cm 5 cm E

  9. Title Similar Shapes

  10. Can you spot the two similar triangles? 12m 4m 5m 15m

  11. Can you spot the two similar triangles? Sketch them

  12. Work out the length BC

  13. Sketch out the similar triangles for each diagram. Work out the missing lengths.

  14. Are these shapes similar? 8 cm 4 cm 8 cm 14 cm 8 4= 2 We can compare corresponding sides. 7 4= 14 8= The length has 1.75 a smaller scale factor of enlargement than the width. The shapes are not similar.

  15. Are these shapes similar? 20 cm 10 cm 6 cm 25 cm 25 10= 2.5 We can compare corresponding sides. 20 6= 10 3= The width has 3.33 a larger scale factor of enlargement than the length. The shapes are not similar.

  16. Compare corresponding sides to check whether these pairs of shapes are similar. 6 cm 3 cm 8 cm 12 cm 3 cm 18 cm 9 cm A B SF = 3 5 cm 5 cm 15 cm 24 cm 15 cm 37.5 cm 8 cm C D SF = 2.5 SF = 1.6

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