Answer:
Step-by-step explanation:
Given:
AB ≅ BC
AK ≅ KC
∠AKE ≅ ∠CKP
To Prove:
ΔAKE ≅ ΔCKP
Statements Reasons
1). AB ≅ BC 1). Given
2). ∠BAC ≅ ∠BCA 2). Property of Isosceles triangles
3). ∠EKA ≅ ∠PKC 3). Given
4). ΔAKE ≅ ΔCKP 4). ASA Postulate of congruence
Hence ΔAKE ≅ ΔCKP.
