Question

I need help a problem 16

Answer 1

Answer: The triangles are not congruent.

Step-by-step explanation:

We are given that the two triangles both contain a congruent angle and a congruent side. Additionally, the two triangles also share a side with each other, which is the center horizontal side (the one bisecting the two congruent angles). This "shared" side tells us that this side is congruent in both triangles, meaning that both triangles have two congruent sides with a non-included congruent angle among them.

However, because the two triangles only have two congruent sides, and the angle shared by each triangle is not included between the two sides, the triangle would be "congruent" by SSA, which is not a triangle congruency theorem or postulate.

Therefore, the two triangles are not congruent.

I hope this helps!