Question

In each of the following, fill in the word needed to make the resulting sentence true.

a. A quadrilateral is a if, and only if, its diagonals are congruent and perpendicular and they bisect eachother.
b. A quadrilateral is a if, and only if, its diagonals are perpendicular.

Answer 1

A quadrilateral is a rectangle if, and only if, its diagonals are congruent and perpendicular and they bisect each other. A quadrilateral is a rhombus if, and only if, its diagonals are perpendicular.

Step-by-step explanation:

a. A quadrilateral is a rectangle if, and only if, its diagonals are congruent and perpendicular and they bisect each other.

b. A quadrilateral is a rhombus if, and only if, its diagonals are perpendicular.