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 each other.
b. a quadrilateral is a ____ if, and only if, its diagonals bisect each other.
fill in the word needed to make the resulting sentence true. if none of the words makes the sentence true, choose none.
a. a quadrilateral is a
isosceles trapezoid
square
kite
none
trapezoid
parallelogram
rhombus
rectangle

Explanation:

• Recall the properties of different quadrilaterals. For a square, its diagonals are congruent, perpendicular and bisect each other. For the second - part, a parallelogram has diagonals that bisect each other.

Answer:

a. square
b. parallelogram