Question

decide whether the parallelogram is a rhombus, a rectangle, or a square. explain.
the parallelogram is a □ because it has □.
four congruent sides and four right angles
four right angles
four congruent sides

Explanation:

1. First, recall the properties of rhombus, rectangle, and square:

• A rhombus is a parallelogram with four congruent sides.
• A rectangle is a parallelogram with four right angles.
• A square is a parallelogram with four congruent sides and four right angles.

1. From the diagram, we see that the parallelogram has markings indicating four congruent sides (the tick marks on the sides). Also, one of the angles is \(116^\circ\), which is not a right angle (since a right angle is \(90^\circ\)), so it does not have four right angles.
2. Since it has four congruent sides (a property of a rhombus) and does not have four right angles (so not a rectangle or square), the parallelogram is a rhombus because it has four congruent sides.

Answer:

The parallelogram is a rhombus because it has four congruent sides.