If AABC is similar to AXYZ and AYZX, what special type of triangle is AABC? Complete the explanation.
Examine the corresponding angles. Since AABC is similar to AXYZ, this means ZA = _X.
Likewise, since AABC is similar to AYZX, this means _A = LY. Thus, by the
(select)
, it can be said that _X = Y. Also, zB = _Y and B = 22,
which means _Y = _Z by the (select)
. Putting these facts
together, it can be shown that _X * Y * _Z. Therefore, AXYZ, AYZC, and by similarity,
AABC are all (select) triangles.