Suppose that CA = 12, CB = 20, DF = 6, and FE = 10. Which additional fact would guarantee that the triangles are SIMILAR?

Question

mathstudent55 · Answer

Do you have a figure?

anonymous · Answer

attachment

mathstudent55 · Answer

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mathstudent55 · Answer

The figure above shows what you were given.

mathstudent55 · Answer

There are different additional facts that would guarantee the triangles are similar.
One is if you are told that the length of AB is twice the length of DE.
Another is if angle C is congruent to angle F.
You only need one of the two facts above.
Are you given choices?

anonymous · Answer

A)
	AB = DE 	
	

B)
	AC = FE 	
	

C)
	m∠A = m∠D 	
	

D)
	m∠C = m∠F

mathstudent55 · Answer

I mentioned one of the choices. Read my answer and pick out the correct choice.

anonymous · Answer

d right

mathstudent55 · Answer

Great. You are correct.

mathstudent55 · Answer

This is using SAS Similarity to prove the triangles similar.