AD and BC are equal perpendiculars to a line segment AB. Show that CD

1.	AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.
Answer» Step-by-step explanation: GIVEN, AD and BC are perpendiculars of AB. \mathbb{ TO \:BE \:SHOWN }TOBESHOWN : CD bisects AB ∠BOC = ∠DOC ( ∴ Vertically opposite angles ) DA = BC ∠B = ∠A = 90° So, by \bf{AAS}AAS congruence CONDITION, ΔBOC ≅ ΔOAD So, now CO = OD so, it bisects AB on point '\bf{O}O ' OA = OB

AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.

Answer»

Step-by-step explanation:

GIVEN,

AD and BC are perpendiculars of AB.

\mathbb{ TO \:BE \:SHOWN }TOBESHOWN :

CD bisects AB

∠BOC = ∠DOC ( ∴ Vertically opposite angles )

DA = BC

∠B = ∠A = 90°

So, by \bf{AAS}AAS congruence CONDITION, ΔBOC ≅ ΔOAD

So,

now CO = OD

so, it bisects AB on point '\bf{O}O '

OA = OB