Question

1. according to the properties of rhombuses, label the rhombuses below appropriately.

properties of rhombuses
if a quadrilateral is a rhombus, then
if a parallelogram is a rhombus, then
if a parallelogram is a rhombus, then

Explanation:

Identify the definition of a rhombus

Using the Rhombus Definition knowledge point
A rhombus is defined as a quadrilateral with four congruent sides. Therefore, the first conditional statement is completed by its defining property:
"If a quadrilateral is a rhombus, then it has four congruent sides."

Identify the diagonal properties

Using the Rhombus Properties knowledge point
A key theorem states that if a parallelogram is a rhombus, then its diagonals are perpendicular. Thus, one of the parallelogram-based conditional statements is:
"If a parallelogram is a rhombus, then its diagonals are perpendicular."

Identify the angle bisection property

Using the Rhombus Properties knowledge point
Another key theorem states that if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. Thus, the remaining conditional statement is:
"If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles."

Answer:

According to the properties of rhombuses, the completed statements are:

1. If a quadrilateral is a rhombus, then it has four congruent sides.
2. If a parallelogram is a rhombus, then its diagonals are perpendicular.
3. If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles.