Question

Which statement about the two triangles is correct? ABC~ DEF because 6/4=12/8=9/6. ABC is not similar to DEF, because 12-8=4, while 9-6=3. You cannot tell if the triangles are similar because the angles are not given. ABC is congruent to DEF

Answer 1

The correct statement is that ABC is congruent to DEF.

Step-by-step explanation:

The statement that is correct is: ABC is congruent to DEF.

To determine if the triangles are similar or congruent, we need to compare the ratios of corresponding sides.

• Given that 6/4 = 12/8 = 9/6, we can see that the ratios of the corresponding sides are equal.
• However, the comparison of the differences between the corresponding sides is not a valid method to determine similarity.
• Without knowing the angles of the triangles, we cannot determine if they are similar.
• Therefore, the only statement we can conclude is that ABC is congruent to DEF.