Question

In the given figure, if AC = BD then prove that AB = CD. ​

Answer 1

Answer:

Step-by-step explanation:

See here given CA = BD

IF WE GO THROUGH THE DIGRAM WE GET TO SEE THAT THE LINE SEGMENT AB AND CD HAVE A COMMON SEGMENT AD

SO NOW ADD" AD " ON THE BOTH SIDE IN Eq CA = DB

So CA+AD = DB + AD

SO WE GET CD = AB

HENCE PROVED

PLEASE MARK AS BRAINLIEST,

Answer 2

$\bold{\underline {Given:}}$

✯ AC = BD

$\bold{\underline {To \:Prove:}}$

❋ AB = CD

Step-by-step explanation:

$\huge {\red{\boxed{Proof⟹}}}$

Now,

${⟹}$AC = CD - AD ............ (1)

${⟹}$BD = AB - AD .............(2)

${⟹}$AC = BD [given]

From equation (1) and (2).

If, AC = BD

So,

${</em><em>⟹</em><em>}$CD - AD = AB - AD. [by comparing]

${⟹}$ CD = AB

or, $\huge{\pink{\green {\sf\boxed{</em><em>AB = CD</em><em>}}}}$

$\Large\boxed{</em><em>Proved</em><em>}$

#Be_Brainly