Given ΔABE is an isosceles triangle with ∠ABE = 100° and ΔMNP is an isosceles triangle with one base angle measuring 40°. Are the two triangles, ΔABE and ΔMNP similar? If so, by what criterion? A) yes, by AA criterion B) yes, by SAS criterion C) yes, by SSA criterion D) no, not possible to tell.
Accepted Solution
A:
if both triangles are isosceles, that means they have two twin sides, and the twin sides make up twin angles on the other end. Therefore, the triangles are similar by AA, check the picture below.