which rule explains why these triangles are similar? \nsss\nsas\naa\nnone of the above; the triangles cannot…
which rule explains why these triangles are similar? \nsss\nsas\naa\nnone of the above; the triangles cannot be proven similar
Answer
Explanation:
Step1: Find missing angle in △TUV
Sum of angles in triangle is $180^\circ$. $\angle V = 180^\circ - 34^\circ - 66^\circ = 80^\circ$
Step2: Find missing angle in △JHI
Sum of angles in triangle is $180^\circ$. $\angle I = 180^\circ - 28^\circ - 66^\circ = 86^\circ$
Step3: Compare triangle angle sets
△TUV angles: $34^\circ, 66^\circ, 80^\circ$; △JHI angles: $28^\circ, 66^\circ, 86^\circ$. Only one pair of equal angles exists.
Answer:
none of the above; the triangles cannot be proven similar