Question

Select the correct answer.

Adam constructed quadrilateral PQRS inscribed in circle O. How can he prove PQRS is a square?



A.
He needs to show only that the diagonals are perpendicular.
B.
He needs to show only that the diagonals are perpendicular and congruent.
C.
He needs to show only that the diagonals are perpendicular and bisect each other.
D.
He needs to show that the diagonals are perpendicular, congruent, and bisect each other.

Answer 1

Answer: D

Step-by-step explanation:

You need to prove that the diagonals bisect each other to prove it's a parallelogram.

Now, to prove it's a square, you need to prove it's both a rectangle and a rhombus.

• To prove it's a rectangle, you need to prove the diagonals are congruent.
• To prove it's a rhombus, you need to prove the diagonals are perpendicular.