Which terms describe this shape? Choose all that apply.

Understand the Problem

The question is asking for the classification of a given shape (a quadrilateral). It requests which terms from the options provided (square, rectangle, parallelogram, rhombus) apply to the shape depicted. This involves recognizing the properties of the shape shown to determine the correct classifications.

Answer

The shape is a parallelogram and a rhombus.

Steps to Solve

Identify Properties of the Shape Observe the shape's properties. It has four sides, which confirms it's a quadrilateral. The lengths of the segments appear equal, indicating that opposite sides are congruent.
Check for Parallelogram Properties For a shape to be classified as a parallelogram, opposite sides must be both equal and parallel. Based on the figure, this shape meets these criteria, so it can be classified as a parallelogram.
Check for Rhombus Properties A rhombus is a specific type of parallelogram where all four sides are of equal length. Since the segments appear congruent, this shape is also a rhombus.
Check for Rectangle Properties To be classified as a rectangle, a shape must have four right angles. The angle measurements cannot be determined from the image provided, so we cannot classify it as a rectangle.
Check for Square Properties A square is both a rectangle and a rhombus. Since we cannot confirm that the angles are right angles, we cannot classify it as a square.

The shape can be classified as a parallelogram and a rhombus.

More Information

A parallelogram is defined by having opposite sides that are equal in length and parallel. A rhombus further specifies that all sides must be equal in length, which is true for the given shape.

Tips

Incorrectly assuming that all quadrilaterals with equal sides are squares; they must also have right angles to be squares.
Overlooking that some quadrilaterals are classified as parallelograms and rhombuses without meeting the criteria for rectangles or squares.

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