Question

which two triangles are congruent by the sas theorem? complete the congruence statement.

Explanation:

Step1: Recall SAS Congruence Theorem

SAS (Side - Angle - Side) Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Analyze the triangles

For \(\triangle ZXY\) and \(\triangle CED\):

• In \(\triangle ZXY\), we have two sides (marked with double and triple ticks) and the included angle \(\angle Z\).
• In \(\triangle CED\), we have two sides (marked with double and triple ticks) and the included angle \(\angle C\).

The lengths of the corresponding sides (based on the tick - mark patterns) and the included angles (as they are non - adjacent to the non - matching tick - marked sides in the context of the figure) are equal.

Answer:

\(\triangle ZXY\cong\triangle CED\)