Question

If $AB$ = $\frac{CD}{2}$, $EF$ = $\frac{CD}{2}$ and CD = 4 unit, then

• A. AB = 2 unit
• B. EF = 2 unit
• C. AB = EF
• D. AB = EF = 8 unit

Answer 1

Answer: (A), (B), (C)

The correct options are
A AB = 2 unit
B EF = 2 unit
C AB = EF

According to euclid's axiom things that are halves of the same thing are equal to one another,
We know,
$AB$ = $\frac{CD}{2}$, $EF$ = $\frac{CD}{2}$
Hence,
AB = EF
we also know,
CD = 4 unit
$⟹$AB = EF = $\frac{4}{2}$ = 2 unit