Question

In which of the following cases, a unique and stable quadrilateral cannot be constructed?

• A. When all 4 sides of a quadrilateral are given
• B. When three sides and one base angle is given.
• C. When two angles and three sides are given
• D. Constructing a rhombus when lengths of its diagonals are given.

Answer 1

Answer: (A), (B)

The correct options are
A

When all 4 sides of a quadrilateral are given

B

When three sides and one base angle is given.

When we draw a quadrilateral with 4 sides given, we can move the sides of quadrilateral and infinitely many quadrilaterals with the same measures can be obtained.

When three sides and one base angle is given, we cannot draw a triangle as we need one more side/diagonal/angle.