Question

A
2) The diagonals of
cyclic o ABCD are
congruent. Show that
AD = BC and
Seg AB 11 seg CD
с c
D​

Answer 1

Answer:

Step-by-step explanation:

Given : ABCD is a cyclic quadrilateral with AB║ CD

To prove AD =BC

Construction : Draw DE ║AB

Proof : AB║CD

AD ║ BE By construction

Quadrilateral ADEB is a prallelogram

AB = DE ..(1) ( opposite sides are equal )

∠ BAD =∠ BED ...(2) ( opposite angles are equal )

ABCD is a cyclic quadrilateral

∠BAD + ∠BCD = 180 °...(3) ( opposite angle of quadrilateral are supplementary)

∠BED +∠ CED = 180° .. ( linear pair )

∠BAD + ∠CED = 180° ..(4)

From (2) . (3) and (4)

∠BCD = ∠CED

∠ECD =∠ CED

DE = DC ( sides opposite to equal angles)

AD= BC ( From (1) )

Hence proved

Answer 2

Answer:

AD=BC HE ISKA ANSWERS ..