4.AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects A
B
o (Figure 2)
D
Answers
Answered by
1
Answer:
Step-by-step explanation:
Given,
AD and BC are perpendiculars of AB.
:
CD bisects AB
∠BOC = ∠DOC ( ∴ Vertically opposite angles )
DA = BC
∠B = ∠A = 90°
So, by congruence condition, ΔBOC ≅ ΔOAD
So,
now CO = OD
so, it bisects AB on point ''
OA = OB [ by ]
➖➖➖➖➖➖➖➖➖➖➖➖➖
: Angle-Angle-side
: Corresponding Parts of Congruent Triangles
Answered by
1
Question :-
AD and BC are equal perpendiculars to a line segment AB (see figure). Show that CD bisects AB.
Answer :-
In ∆BOC and ∆AOD, we have
∠BOC = ∠AOD
BC = AD [Given]
∠BOC = ∠AOD [Vertically opposite angles]
∴ ∆OBC ≅ ∆OAD [By AAS congruency]
⇒ OB = OA [By C.P.C.T.]
i.e., O is the mid-point of AB.
Thus, CD bisects AB.
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