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:

Define the rhombus by its sides

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

Analyze diagonal perpendicularity

Using the Rhombus Properties knowledge point
One key property of a rhombus is that its diagonals are perpendicular to each other.
Therefore, the second statement is completed as: "If a parallelogram is a rhombus, then its diagonals are perpendicular."

Analyze diagonal angle bisection

Using the Rhombus Properties knowledge point
Another key property of a rhombus is that each diagonal bisects a pair of opposite angles.
Therefore, the third statement is completed as: "If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles."

Answer:

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

• If a quadrilateral is a rhombus, then <blank>it has four congruent sides</blank>.
• If a parallelogram is a rhombus, then <blank>its diagonals are perpendicular</blank>.
• If a parallelogram is a rhombus, then <blank>each diagonal bisects a pair of opposite angles</blank>.