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to the properties that can describe it. quadrilaterals can be used more…

Question

to the properties that can describe it. quadrilaterals can be used more than once. has opposite sides that have the same measure has four equal sides has four right angles rhombus square rectangle parallelogram trapezoid has at least one set of parallel sides has two sets of parallel sides

Explanation:

Response

To solve this, we analyze each property and match with quadrilaterals (rhombus, square, rectangle, parallelogram, trapezoid):

1. "Has opposite sides that have the same measure"
  • Rhombus: Opposite sides equal.
  • Square: Opposite sides equal.
  • Rectangle: Opposite sides equal.
  • Parallelogram: Opposite sides equal.
  • Trapezoid: Only one pair of parallel sides (not necessarily equal in length, so no).

So: Rhombus, Square, Rectangle, Parallelogram.

2. "Has four right angles"
  • Square: Four right angles.
  • Rectangle: Four right angles.

Rhombus/Parallelogram: No right angles (unless square/rectangle). Trapezoid: No right angles (unless right trapezoid, but not guaranteed).
So: Square, Rectangle.

3. "Has four equal sides"
  • Rhombus: Four equal sides.
  • Square: Four equal sides (special rhombus).

Rectangle/Parallelogram: Sides not necessarily equal. Trapezoid: Sides not equal.
So: Rhombus, Square.

4. "Has two sets of parallel sides"
  • Parallelogram: By definition, two pairs of parallel sides.
  • Rhombus: Special parallelogram (two pairs parallel).
  • Square: Special parallelogram (two pairs parallel).
  • Rectangle: Special parallelogram (two pairs parallel).
  • Trapezoid: Only one pair (so no).

So: Parallelogram, Rhombus, Square, Rectangle.

5. "Has at least one set of parallel sides"
  • Trapezoid: At least one pair (by definition).
  • Parallelogram/Rhombus/Square/Rectangle: Two pairs (so at least one).

So: Trapezoid, Parallelogram, Rhombus, Square, Rectangle.

Final Matching (example for "rectangle"):
  • Opposite sides same: Yes (rectangle has opposite sides equal).
  • Four right angles: Yes (rectangle has four right angles).
  • Four equal sides: No (rectangle has opposite sides equal, not all four).
  • Two sets parallel sides: Yes (rectangle is a parallelogram, so two pairs).
  • At least one set parallel sides: Yes (two pairs, so at least one).

If the task is to drag "rectangle" to its properties:

  • Drag to "Has opposite sides that have the same measure", "Has four right angles", "Has two sets of parallel sides", "Has at least one set of parallel sides".
  • Do not drag to "Has four equal sides".

Answer:

To solve this, we analyze each property and match with quadrilaterals (rhombus, square, rectangle, parallelogram, trapezoid):

1. "Has opposite sides that have the same measure"
  • Rhombus: Opposite sides equal.
  • Square: Opposite sides equal.
  • Rectangle: Opposite sides equal.
  • Parallelogram: Opposite sides equal.
  • Trapezoid: Only one pair of parallel sides (not necessarily equal in length, so no).

So: Rhombus, Square, Rectangle, Parallelogram.

2. "Has four right angles"
  • Square: Four right angles.
  • Rectangle: Four right angles.

Rhombus/Parallelogram: No right angles (unless square/rectangle). Trapezoid: No right angles (unless right trapezoid, but not guaranteed).
So: Square, Rectangle.

3. "Has four equal sides"
  • Rhombus: Four equal sides.
  • Square: Four equal sides (special rhombus).

Rectangle/Parallelogram: Sides not necessarily equal. Trapezoid: Sides not equal.
So: Rhombus, Square.

4. "Has two sets of parallel sides"
  • Parallelogram: By definition, two pairs of parallel sides.
  • Rhombus: Special parallelogram (two pairs parallel).
  • Square: Special parallelogram (two pairs parallel).
  • Rectangle: Special parallelogram (two pairs parallel).
  • Trapezoid: Only one pair (so no).

So: Parallelogram, Rhombus, Square, Rectangle.

5. "Has at least one set of parallel sides"
  • Trapezoid: At least one pair (by definition).
  • Parallelogram/Rhombus/Square/Rectangle: Two pairs (so at least one).

So: Trapezoid, Parallelogram, Rhombus, Square, Rectangle.

Final Matching (example for "rectangle"):
  • Opposite sides same: Yes (rectangle has opposite sides equal).
  • Four right angles: Yes (rectangle has four right angles).
  • Four equal sides: No (rectangle has opposite sides equal, not all four).
  • Two sets parallel sides: Yes (rectangle is a parallelogram, so two pairs).
  • At least one set parallel sides: Yes (two pairs, so at least one).

If the task is to drag "rectangle" to its properties:

  • Drag to "Has opposite sides that have the same measure", "Has four right angles", "Has two sets of parallel sides", "Has at least one set of parallel sides".
  • Do not drag to "Has four equal sides".