Question

In Fig. AC || BD
Then Prove
️AOC is Congruent to ️BOD
Give Reasons ​

Answer 1

Answer: OB= OA (O is the mid-point of AB)

∠AOC=∠BOD [V.O.A.]

OC=OD (O is the mid-point of CD)

By SAS rule,

ΔAOC≅ΔBOD

⇒AC=BD [BY CPCT]

Step-by-step explanation:

Answer 2

Answer:

ANGLE ODB = 60° ( ALTERNATE INTERIOR ANGLE)

ANGLE BOD = 40° ( VERTICALLY OPPOSITE ANGLE )

SO ,

AC = BD ( EACH OF 5 CM )

AOC = BOD ( EACH 40° )

OCA = ODB ( EACH 60° )

BY AAS CONGRUENCY

TRIANGLE AOC CONGRUENT TO TRIANGLE BOD

HOPE IT HELPS