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 xaxis, 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.

Congruent means same size same shape...
Is 1) still the same SIZE when you do a dilation of scale factor 4...posted by MsPi_3.14159265

I don't think it stays the same size.
posted by Brooklyn Squad

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.
posted by Brooklyn Squad

So #1 is NOT congruent : )
posted by MsPi_3.14159265

#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?posted by MsPi_3.14159265

Thanks! :)
And yes for 3, I think it's congruent. If the shape stays the same and does not change.posted by Brooklyn Squad

Excellent work : )
posted by MsPi_3.14159265

Thanks @MsPi_3.14159265 ! :D
I greatly appreicte your help today!! :)posted by Brooklyn Squad
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