Question

Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!

Answer 1

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.