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Mathematics 20 Online
OpenStudy (anonymous):

fan and medal!!!!! Triangle STU is dilated to form new triangle VWX. If angle S is congruent to angle V, what other information will prove that the two triangles are similar?

OpenStudy (studygurl14):

AA - angle-angle theorem. If two angles in one triangle are equal to two angles in another triangle, the triangles are similar. So, if you knew angle T and angle W were equal, or angle U and angle X were equal, then the triangles would be similar by AA

OpenStudy (studygurl14):

there is another theorem (SAS) that would also work, but that would require even more information to be known

OpenStudy (studygurl14):

Does that help?

OpenStudy (anonymous):

All the sides must be in the same ratio

OpenStudy (anonymous):

Side ST is congruent to side VW. Angle T is congruent to angle V. Side US is congruent to side XV. Angle U is congruent to angle X. still a little confused... but got an idea.. is it A? @StudyGurl14

OpenStudy (studygurl14):

Actually, by AA, the answer would be D Because remember, according to AA, if two corresponding angles of triangles are congruent, the triangles are similar

OpenStudy (studygurl14):

You already know that angle s is congruent to angle v, so you need another congruent angle statement to fulfill AA. But the two congruent angles have to be CORRESPONDING angles, which would be D

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