Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: \\( \triangle g k s \cong \triangle d s k \\) prove: \\( \angle g \cong \angle d \\)

Explanation:

Step1: Recall the property of congruent triangles

If two triangles are congruent, then their corresponding parts (angles and sides) are congruent. This is known as the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) property.

In \(\triangle GKS\cong\triangle DSK\), \(\angle G\) and \(\angle D\) are corresponding angles.

Answer:

The property that justifies \(\angle G\cong\angle D\) is the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) property.