Question

Nadeem has created a flowchart to specify whether a given quadrilateral is a square or not. If the answer is yes (for the input question), it is considered as a square, and if it is no, it is not considered as a square. Which of these is the best question to ask to find out whether the quadrilateral is a square or not?

a) "Are all the angles in the square right angles?" (A rectangle also has all angles=90^o)

b) "Are the opposite sides equal?" (opp. sides equal for square, parallelogram, rectangle, rhombus)

c) "Are any two adjacent sides of the figure equal?" (equal for rhombus, square, also for kite, but not any two adjacent sides)

d) "Are the opposite angles of the figure equal?" (equal for square, rectangle, parallelogram, rhombus)

Answer 1

Out of the four questions, answers of the following two questions are necessary and sufficient to check whether the quadrilateral is square or not.

The questions are as follows-

c) "Are any two adjacent sides of the figure equal?"

d) "Are the opposite angles of the figure equal?"