Respuesta :

Answer:

a. AB = 15cm long.

b. AB = 11.1cm long.

c. AB = 3/5cm long.

d. AB = 3scm long.

Step-by-step explanation:

Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.

Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.

Image of AB after a dilation of scale factor 1/5 is 3cm × 1/5 = 3/5cm long.

Image of AB after a dilation of scale factor s is 3cm × s = 3scm long.

a) AB = 15cm

b) AB = 11.1cm

c) AB = 3/5cm

d) AB = 3s cm

  • Dilation in Maths simply means enlarging or reducing an object by the use of a scale factor.

  • We are told that point O is the centre of the image AB. AB measures 3 cm. This means, for us to get the new measurement of AB, we need to multiply 3 cm by the scale factor of dilation.

  • A) Scale factor = 5

Thus, after dilation;

Image of AB = 5 × 3 cm

Image of AB = 15 cm

  • B) Scale factor = 3.7

Thus, after a dilation with this scale factor;

Image of AB = 3 cm × 3.7

Image of AB = 11.1 cm

  • C) Scale factor = 1/5

Thus, after a dilation with this scale factor;

Image of AB = 3 cm × 1/5

Image of AB = 3/5 cm

  • D) Scale factor = s

Thus, after a dilation with this scale factor;

Image of AB = 3 cm × s

Image of AB = 3s cm

Read more at; brainly.com/question/13138864

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