Question

ABCD is a quadrilateral. If AB, BC, CA and $\angle$ABC is known, which of the following parameter is required for the construction of the quadrilateralABCD.

• A. BD
• B. AC
• C. $\angle BAC$
• D. AD

Answer 1

The correct option is D AD

4 sides and one angle can be used to construct the quadrilateral ABCD.

From the question, the measure of AB, BC, CD and $\angle ABC$ is known.

• BD and AC are diagonals. This cannot be used to construct a quadrilateral when one angle is given.
• $\angle BAC$ is not the angle of the quadrilateral. $\angle BAC$ and $\angle ABC$ cannot form the included angles of the sides AB, AD and BC.
• AD is the side of the quadrilateral.

Hence, we should know the measure of AD to construct the quadrilateral ABCD.