Math Problem Statement

Which of the following matches a quadrilateral with the listed characteristics: 1. Figure has 4 right angles, 2. Figure has 4 congruent sides, 3. Both pairs of opposite sides parallel?

Solution

The question asks which quadrilateral matches the given characteristics:

  1. The figure has 4 right angles.
  2. The figure has 4 congruent sides.
  3. Both pairs of opposite sides are parallel.

The correct answer is A. Square.

A square meets all of the following criteria:

  • It has 4 right angles.
  • It has 4 congruent (equal-length) sides.
  • Both pairs of opposite sides are parallel.

Other options:

  • B. Parallelogram: Parallelograms have opposite sides parallel, but not necessarily 4 right angles or 4 congruent sides.
  • C. Rectangle: Rectangles have 4 right angles and opposite sides parallel, but their sides are not necessarily congruent.
  • D. All quadrilaterals: Not all quadrilaterals meet these criteria.

Would you like further clarification or more details on quadrilaterals?

Here are 5 related questions to deepen your understanding:

  1. What are the properties of a parallelogram that distinguish it from a square?
  2. How do a square and a rhombus differ?
  3. Can a rectangle be a square? Under what conditions?
  4. What are the defining characteristics of a rhombus?
  5. How does a trapezoid differ from a parallelogram?

Tip: When studying quadrilaterals, pay close attention to how angles and side lengths relate to one another!

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Math Problem Analysis

Mathematical Concepts

Geometry
Quadrilaterals

Formulas

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Theorems

Properties of a Square
Properties of Parallelograms

Suitable Grade Level

Grades 6-8