Abcd - trapezoid is △aod ∼ △boc ? why ? is △aob ∼ △cod ? why ?

Step-by-step explanation:

Given: ABCD is a trapezoid.

Proof: Using the property of trapezoid that the bases of the trapezoid are parallel to each other.

From △AOD and △BOC, we have:

∠DAO=∠BCO (Alternate angles)

∠AOD=∠BOC( Vertically opposite angles)

Therefore, by AA similarity,

△AOD ∼ △BOC

Also, from ΔAOB and ΔCOD, we have

∠BAO=∠DCO (Alternate angles)

∠AOB=∠DOC(Vertically opposite angles)

Therefore, by AA similarity,

△AOB ∼ △COD

Hence proved.

the answer is a

step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .