Are the two triangles similar? How do you know? (1 point) Responses no no yes; by AA ~ yes; by AA ~ yes; by SAS ~ yes; by SAS ~ yes; by SSS ~

1 answer

In order to determine if two triangles are similar, we can use the Angle-Angle (AA) similarity criterion, Side-Angle-Side (SAS) similarity criterion, or Side-Side-Side (SSS) similarity criterion.

If the two triangles have corresponding angles that are congruent, then we can conclude that the triangles are similar by the AA similarity criterion. If the two triangles have corresponding sides that are proportional and an included angle that is congruent, then we can conclude that the triangles are similar by the SAS similarity criterion. If the two triangles have all three pairs of corresponding sides that are proportional, then we can conclude that the triangles are similar by the SSS similarity criterion.

Therefore, depending on the given information about the two triangles, we can determine if they are similar.
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