Question

If △ABC∼△LMN and △LMN∼△XYZ, is △ABC∼△XYZ? Use the AA similarity criterion to support your answer.

Answer 1

yes because transitive property

Explanation:

if abc~lmn, then the angles a and b are similar to angles l and m. and if lmn~xyz then angles l and m are similar to angles x and y. therefore, using transitive property, angles a and b would be similar to angles x and y. so using AA similarity, the two triangles would be similar