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Triangle ABC is dilated using D as the center of dilation with scale factor 2.
• The image is triangle A'B'C'. Clare says the two triangles are congruent, because their angle measures are the same.
Do you agree?
Yes or no because the side lengths in the image and pre-image are different or th same​

Triangle ABC is dilated using D as the center of dilation with scale factor 2 The image is triangle ABC Clare says the two triangles are congruent because their class=

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Answer: No. The triangles are not congruent because their side lengths are different.

Step-by-step explanation:

akposevictor

NO. Clare is wrong because, after dilation, the corresponding side lengths of triangle ABC (pre-image) and triangle A'B'C' (image) are different. They are not congruent.

Recall:

  • After an figure is dilated, the pre-image which is the original image would have the same shape as the image (new image).
  • Two figures with the same shape but different sizes are similar and are
  • Two images that are similar will have corresponding side lengths that are proportional to each other.

Thus, after dilation, triangle ABC and triangle A'B'C' cannot be congruent to each other. They are rather similar to each other because the side lengths of the image and pre-image will definitely be different from each other.

In summary, NO. Clare is wrong because, after dilation, the corresponding side lengths of triangle ABC (pre-image) and triangle A'B'C' (image) are different.

Learn more here:

https://brainly.com/question/12520460

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