Question

decide whether the parallelogram is a rhombus, a rectangle, or a square. explain.

the parallelogram is a ▼ because it has ▼.

Explanation:

Step1: Recall definitions

A rhombus is a parallelogram with all sides equal. A rectangle is a parallelogram with four right angles. A square is a parallelogram with all sides equal and four right angles.

Step2: Analyze the diagram

The diagram shows a parallelogram (a quadrilateral with opposite sides parallel, implied by the markings) with all sides marked as equal (the tick marks) and a right angle (the square corner symbol).

Step3: Determine the type

Since it has all sides equal (so it's a rhombus) and a right angle (so it's a rectangle), a figure that is both a rhombus and a rectangle is a square.

Answer:

The parallelogram is a square because it has four equal sides (all sides marked equal) and a right angle (so it's a rectangle and a rhombus, hence a square).

(For the dropdowns: first dropdown: square; second dropdown: four equal sides and a right angle (or equivalent description like all sides equal and a right angle, or properties of square - being a rhombus with a right angle, etc.))