Question

Which of the following do not form a quadrilateral $ABCD$?

• A. $AB=4cm,BC=5cm,AC=10cm,AD=4.6cm$
• B. $AB=5.8cm,BC=5.5cm,AC=5cm,DC=5cm,BD=8.5cm$
• C. $AB=5.5cm,BC=4cm,CD=6cm,\angle A={60}^0,\angle B={120}^0$
• D. $BC=4.2cm,CD=4.5cm,\angle B={75}^0,\angle C={120}^0,\angle A={60}^0$

Answer 1

Answer: (A), (B)

The correct options are
A $AB=4cm,BC=5cm,AC=10cm,AD=4.6cm$
B $AB=5.8cm,BC=5.5cm,AC=5cm,DC=5cm,BD=8.5cm$

We know that Construction of Quadrilaterals can be possible if

$\left(i\right)4$ sides and $1$ diagonal is given.

$\left(ii\right)3$ sides and including $2$ angles are given.

$\left(iii\right)2$ sides and $3$ angles are given.

So, from the given options we can say that $\text{A}$ and $\text{B}$ has insufficient information for constructing a quadrilateral.

Hence, option $\text{A}$ and $\text{B}$ are correct.