Question

1. ∠ehb ≅ ∠ckf
2. ∠ckf ≅ ∠hkd
3. ∠hkd ≅ ∠ehb
4. corresponding angles are congruent.

6.

1. transitive property of congruence

vertical angles are congruent.

alternate exterior angles are congruent.

alternate interior angles are congruent.

corresponding angles are congruent.

given

Explanation:

Step1: Analyze the given angle congruences

We are given that \(\angle EHB\cong\angle CKF\) (from the problem statement). This is a direct congruence.

Step2: Analyze the second - level congruence

We know that \(\angle CKF\cong\angle HKD\). Since \(\angle EHB\cong\angle CKF\) and \(\angle CKF\cong\angle HKD\), by the transitive property of congruence (if \(a = b\) and \(b = c\), then \(a=c\)), we can say that \(\angle EHB\cong\angle HKD\) is based on the transitive property of congruence.

Answer:

1. Corresponding angles are congruent.
2. Transitive property of congruence.