Question

AB and CD bisect each other at K.prove
that AC =BD
this is photo
​

Answer 1

Step-by-step explanation:

GIVEN : AB ≈ CD

TO PROVE : AC ≈ BD

PROOF : angle AKC ≈ angle DKB ...VERTICALLY

OPPOSITE ANGLES

angle CAK ≈ angle KBD ...ALTERNATE ANGLES

angle ACK ≈ angle LDB ...ALTERNATE ANGLES

:. ∆ ACK ≈ ∆ BDK ...AA TEST

:. AC ≈ BD ...c.s.s.t