IDNLearn.com: Your one-stop destination for finding reliable answers. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .

Two Isosceles Triangles Have Congruent Vertex Angles Explain Why The Two Triangles Must Be Similar class=

Sagot :

2 isosceles triangles with congruent vertex angels. ;-))

Answer:

they are always similar because if the vertex of one is congruent to the vertex angle of another.

Step-by-step explanation:

let the congruent vertex angles have measure x. in any triangle the three angles have to add up to 180 so the base angle has to add up to 180-x in both triangles. in a isosceles triangle the base angles are congruent so each base angle has to measure (180-x)/2 in both triangles. therefore all three angle of the 2 triangles are congruent so the triangles must be similar by AA.