math

Triangle ABC undergoes a series of transformations to result in triangle DEF.

Is triangle DEF congruent to triangle ABC ?

Is it Congruent or Not congruent?

1.)) Triangle ABC is translated 3 units up and 5 units right, and then dilated by a scale factor of 4 to form triangle DEF.
(congruent or NOT congruent)

2.)) Triangle ABC is reflected over the x-axis, and then translated 6 units down and 6 units left to form triangle DEF.
(congruent or NOT congruent)

3.)) Triangle ABC is rotated 180°, and then reflected over the line y=x to form triangle DEF.
(congruent or NOT congruent)

I personally think the first 2 are congruent, and the 3rd is not, but I am not completely sure.

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  1. Congruent means same size same shape...
    Is 1) still the same SIZE when you do a dilation of scale factor 4...

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  2. I don't think it stays the same size.

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  3. I'm not sure about these, they are kind of hard for me to understand. But I think the size wouldn't stay the same.

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  4. So #1 is NOT congruent : )

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  5. #2 is correct : )
    #3... the shape is changed if a dilation is done. A slide, flip or turn does not change the shape (just the orientation of the object).
    So what do you think about 3?

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  6. Thanks! :)

    And yes for 3, I think it's congruent. If the shape stays the same and does not change.

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  7. Excellent work : )

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  8. Thanks @MsPi_3.14159265 ! :D

    I greatly appreicte your help today!! :)

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