The triangles ABC and A'B'C' are similar by the Side-Angle-Side (SAS) similarity criterion because the ratios of the lengths of corresponding sides are proportional: AB/A'B' = 5/5 = 1 and AC/A'C' = 6/6 = 1, with the included angle at A and A' being equal since both triangles are formed by the same corresponding points. Thus, since two sides are proportional and the included angle is congruent, the triangles are similar.
Using any of the three triangle similarities of corresponding angles or side lengths, explain in 1–2 sentences why the two triangles are similar. Reference the triangle similarity criteria of choice (SAS, SSS, or AA) and explain your reasoning in your answer. (2 points)
A (-2, -3), B (4, -2), C (-3, 3)
A' (-2, -6), B' (8, -2), C' (-6, 8)
1 answer
1 answer