Mikel is determining if the two triangles below could be similar based on their side lengths.

Triangle R S T. Side R S is 3 centimeters, side S T is 6 centimeters, and side R T is 8 centimeters. Triangle W X U. Side W X is 18 centimeters, side X U is 7.5 centimeters, and side W U is 15 centimeters.

Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is 3 because StartFraction 18 Over 6 EndFraction = 3.
The common ratio between the triangles is 2.5 because StartFraction 7.5 Over 3 EndFraction = 2.5.
The triangles could be similar.
The triangles could not be similar.
The ratios of the side lengths are not consistent.
The ratios of the side lengths are consistent.

3 answers

The triangles could be similar. The ratios of the side lengths are consistent.
The triangles below are similar.

Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees.

Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle C B A is similar to triangle F E D
Triangle C B A is similar to triangle F D E
Triangle B A C is similar to triangle E F D
Triangle B A C is similar to triangle E D F
Triangle A B C is similar to triangle D E F
Triangle A B C is similar to triangle D F E
Triangle A B C is similar to triangle D E F. Triangle C B A is similar to triangle F D E (order reversed).
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