Triangle ABC is transformed to create triangle MNO and triangle PQR as described below.

MNO represents the translation 2 units left and 2 units down of triangle ABC.
PQR represents the dilation of triangle ABC by a scale factor of 2.
Which of these is correct?

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The option that correctly describes the transformation that took place with triangle ABC is; Option A.

  • In transformations, translation simply means shifting an object from one position to the other while dilation simply means increasing or decreasing an object by a scale factor.
  • This means that translation preserves the lengths and angles of the object while the lengths and angles change with dilation.

Option A; Triangle MNO represents a translated triangle and as such the lengths and angles remain unchanged and so this option is correct.

Option B; Not true because both lengths and sides are preserved as stated above.

Option C; Transformation to PQR denotes dilation by a factor of 2 and as such the lengths and angles change. Thus this option is not true.

Option D; This is not true for the same reason in option C above.

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