Question

decide if the triangles can be proven congruent. congruent, and then complete the congruence sta
1)
can the triangles be proven congruent?
yes no
reason for congruence:
sss sas asa aas hl aaa ass
congruence statement: $\triangle abc\cong\triangle$ _______

Explanation:

Step1: Identify corresponding angles and sides

In \(\triangle ABC\) and \(\triangle GEO\), \(\angle A=\angle G\), \(\angle C=\angle E\), and \(AB = GO\).

Step2: Apply congruence theorem

By the Angle - Angle - Side (AAS) congruence theorem (two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle).

Step3: Write congruence statement

Corresponding vertices: \(A\) with \(G\), \(B\) with \(O\), \(C\) with \(E\).

Answer:

YES; AAS; \(\triangle GEO\)