Triangle DEF has been dilated to form triangle D'E'F'. What is the least amount of information needed to determine if the two tr

Question

4 years ago

13

Triangle DEF has been dilated to form triangle D'E'F'. What is the least amount of information needed to determine if the two tr

iangles are similar?
A) Angle F=F', angle E=E', and segments EC and E'C' are congruent.

B) Segment EC=E'C', segment DF=D'F', and angles E and E' are congruent.

C) Angles E and E' are congruent, and angles F and F' are congruent.

D) Segments DF and D'F' are congruent, and segments EF and E'F' are congruent.

Mathematics

2 answers:

Anna71 [15] · Answer 1 · 2021-12-24T23:36:33+03:00

Anna71 [15]4 years ago

5 0

C. as long as two angles are congruent you know that the third angle is congruent as well which by the AAA theorem means the two triangles are similar

frez [133] · Answer 2 · 2021-12-25T01:54:24+03:00

Answer:

The answer is C. Angles E and E' are congruent, and angles F and F' are congruent.

Step-by-step explanation:

You only need two corresponding angles to prove that two triangles are similar. A and B are incorrect mainly because there isn't even a point C nor a point C' to begin with and D is incorrect because you do not need segments to prove that two triangles are similar if you have at least two angles.