in the figure given below prove 1)BD=AC 2)DO=CO
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From the given figure, prove that (i) BD = AC (ii) DO = CO. 1. See answer. Unlocked badge showing an astronaut's boot touching down on the ...
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Proved that BD=AC using SAS congruency , and shown DO = CO
Step 1:
From the given figure
AD ≅ BC
∠BAD ≅ ∠ABC
AB ≅ AB ( common side)
Using SAS congruence
ΔBAD ≅ ΔABC
Step 2:
Corresponding parts of congruent triangles are congruent
Hence
BD = AC ( QED)
∠ABD = ∠BAC
Step 3:
∠ABD = ∠ABO
∠BAC = ∠BAO
in ΔAOB , Sides opposite to Equal angles are equal Hence
AO = BO
Step 4:
BD = AC
BD = BO + DO
AC = AO + CO
=> BO + DO = AO + CO
AO = BO already shown above
Hence DO = CO
QED
Proved that BD=AC using SAS congruency , and shown DO = CO
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