Question

Copy the chart. Then place check marks in the appropriate spaces.

Short answer

Property	Parallelogram	Rectangle	Rhombus	Square
Diags. are$\cong$		yes		yes

Step-by-step solution

Step 1. Description of step.

A parallelogram is a quadrilateral whose diagonals bisect each other and need not be congruent.

The rectangle is a special type of parallelogram in which opposite sides are parallel and the interior angles are right angles. Diagonals of a rectangle bisect each other and they are congruent.

Step 2. Description of step.

Rhombus is a special type of parallelogram whose opposite sides are parallel and all the four sides are equal in length. Diagonals of a rhombus are perpendicular bisectors of each other.

Square is a type of parallelogram whose opposite sides are congruent; all the sides are equal in length and the interior angles are right angles. Diagonals of a square bisect each other and they are congruent.

Step 3. Description of step.

In rectangle and square, diagonals are congruent. Therefore,

Property	Parallelogram	Rectangle	Rhombus	Square
Diags. are$\cong$		yes		yes