Question

Suppose the diagonals of a parallelogram are both perpendicular and congruent. Which type of special quadrilateral is it? Use the most desriptive name possible.

A) rhombus
B) rectangle
C) square
D) parallelogram

Answer 1

Answer:

C) Square

Step-by-step explanation:

A square is the only quadrilateral in which opposite sides are parallel, diagonals intersect at right angles and are also equal to each other.

In a rhombus, the diagonals are not equal, in a rectangle they are not perpendicular, while in a basic parallelogram they are not equal.

Answer 2

If the diagonals of a parallelogram are both perpendicular and congruent, then the special quadrilateral is rhombus.

• A Rhombus is a flat shape having for equal sides. A rhombus looks like a diamond, where both sides have the same length. The opposite sides are identical, and the angles opposite are equal.
• Every rhombus has two diagonals that connect pairs of reverse vertices, and two parallel pairs of sides. The two rhombus diagonals are perpendicular; which means that a rhombus is a quadrilateral orthodiagonal. The diagonals bisect angles to the opposite.