Examples of classifying 2D figures hierarchically for Grade 5 math

📚 Quick Study Guide

• 📐 Polygons: A closed 2D shape with straight sides.
• 🔢 Triangles: Polygons with three sides. They can be classified by their sides (equilateral, isosceles, scalene) and angles (acute, right, obtuse).
• ⏹️ Quadrilaterals: Polygons with four sides. Examples include squares, rectangles, parallelograms, trapezoids, and rhombuses.
• ✨ Parallelograms: Quadrilaterals with two pairs of parallel sides.
• 🟩 Rectangles: Parallelograms with four right angles.
• 🔶 Rhombuses: Parallelograms with four equal sides.
• 🟦 Squares: Rectangles with four equal sides (and therefore also rhombuses).
• 🤝 Hierarchy: Shapes are organized based on their properties; a square is *also* a rectangle, rhombus, parallelogram, and quadrilateral.

Practice Quiz

1. Which of the following is NOT a quadrilateral?
   1. A) Square
   2. B) Triangle
   3. C) Rectangle
   4. D) Trapezoid
2. All squares are also which of the following?
   1. A) Circles
   2. B) Triangles
   3. C) Rectangles
   4. D) Pentagons
3. A parallelogram MUST have:
   1. A) Only one pair of parallel sides
   2. B) Two pairs of parallel sides
   3. C) Four right angles
   4. D) Four equal sides
4. Which shape is ALWAYS a rectangle, but not always a square?
   1. A) Rhombus
   2. B) Parallelogram
   3. C) Square
   4. D) Rectangle
5. What is the most specific name for a quadrilateral with four equal sides and four right angles?
   1. A) Rectangle
   2. B) Parallelogram
   3. C) Rhombus
   4. D) Square
6. Which of the following is a polygon with three sides?
   1. A) Square
   2. B) Rectangle
   3. C) Triangle
   4. D) Circle
7. Which of these statements is true regarding the relationship between a rectangle and a parallelogram?
   1. A) All parallelograms are rectangles.
   2. B) All rectangles are parallelograms.
   3. C) No rectangles are parallelograms.
   4. D) Rectangles and parallelograms have no relationship.