Triangle A’B’C’ is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle ABC congruent

Question

Triangle A’B’C’ is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle ABC congruent to triangle A’B’C’? Explain your answer.

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Thành Đạt 3 years 2021-09-04T18:12:27+00:00 2 Answers 335 views 0

Answers ( )

  1. Maris
    0
    2021-09-04T18:13:57+00:00
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    Answer: No. The triangles are not congruent because their side lengths are different.

    Step-by-step explanation:

  2. ngocdiep
    0
    2021-09-04T18:14:15+00:00
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    Answer:

    See below

    Step-by-step explanation:

    Congruent means having the same size and shape.

    If triangle A’B’C’ is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size

    This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.

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