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A triangle T is separated into two congruent triangles by a straight cut. Which of the following statements are true?

A) T must have two sides with equal length.
B) The cut must be perpendicular to one side of T.
C) T must have two interior angles with the same measure.
D) The cut must go through the midpoint of one side of T.
 

 Sep 16, 2021
 #1
avatar+114787 
+1

This is a good question.

One choice can be dismissed easily enough, which would that be, and why?

 Sep 17, 2021
 #2
avatar+41 
+1

My guess is D. is it right?

CCeed  Sep 18, 2021
 #3
avatar+114787 
0

Do you mean D is the only one that is right or the only one that can easily be dismissed?

Melody  Sep 18, 2021
 #4
avatar+114787 
+1

Actually, looking again, I do not know.

 

Certainly all of them can be true whether or not they need to be true is a different matter.

 

I am withdrawing my earlier assertion that one can be easily removed as the answer. I misread it.

 

Thinking about it now one at a time.

 

I think all of them have to be true.   

 Sep 18, 2021
 #5
avatar+41 
+1

got it! thank you!

CCeed  Sep 18, 2021

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