Question

prove the following statement using the given pieces of information
given: \\( \angle wkh \cong \angle dkh, kh \perp wd \\)
prove: \\( \triangle hok \cong \triangle hhk \\)
\\( \angle wkh \cong \angle dkh \\) because it is one of the given pieces of information.
\\( \angle khw \cong \angle khd \\) because perpendicular lines form right angles, and all right angles are congruent.
\\( \overline{kh} \\) and \\( \overline{kh} \\) are included sides between the two pairs of congruent angles.
\\( \overline{kh} \cong \overline{kh} \\)
by the reflexive property of congruence.
by the symmetric property of congruence
by the transitive property of congruence
because it is one of the given pieces of information.

Explanation:

Step1: Identify the property for congruent sides

We need to determine why \( \overline{KH}\cong\overline{KH} \).

Step2: Apply the property

The Reflexive Property of Congruence states that any segment is congruent to itself. So, \( \overline{KH}\cong\overline{KH} \) by the Reflexive Property of Congruence.

Answer:

by the Reflexive Property of Congruence