Question

ABCD is a quadrilateral and the measure of AB, BC , CD and $\angle ABC$ are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

• A. $\angle BCD$
• B. $\angle CDA$
• C. $\angle BCA$
• D. $AC$

Answer 1

The correct option is A $\angle BCD$


Here we know the measure of AB, BC , CD and $\angle ABC$ and we know that , by getting the measure of 3 sides and 2 included angles we can construct a unique quadrilateral.

So by getting the measure of $\angle BCD$ with the given information we can construct the quadrilateral ABCD.