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in the figure below , DGH was dilated and then rotated 180° about point G to create the other triangle .

in the figure below , DGH was dilated and then rotated 180° about point G to create-example-1
User Mcbeev
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We can eliminate some of these choices , knowing that if we dilate a triangle they are the same shape but not necessarily the same size. Thus , they are not congruent. Therefore, the last two choices are false since it denotes congruency.

It is also stated from the problem that the triangle is rotated by 180 degrees therefore the congurent pair of angle can be found on the opposite side in the figure. Therefore , we can eliminate the first choice since it states that the congruency among angles are at the same side.

Thus, CHOICE 2 is true.

User Rias
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