Learn on PengienVision, Mathematics, Grade 5Chapter 16: Geometric Measurement: Classify Two-Dimensional Figures

Lesson 2: Classify Quadrilaterals

In this Grade 5 enVision Mathematics lesson from Chapter 16, students learn to classify quadrilaterals — including trapezoids, parallelograms, rectangles, rhombuses, and squares — by analyzing properties such as parallel sides, equal side lengths, and right angles. Students practice identifying shapes using multiple names and determining the most specific classification. The lesson also develops reasoning skills by exploring how these categories overlap, such as why a square is also a rectangle and a rhombus.

Section 1

Types of Quadrilaterals

Property

  • A quadrilateral is a polygon with four sides.
  • A trapezoid is a quadrilateral with one pair of parallel sides.
  • A parallelogram is a quadrilateral with both pairs of opposing sides parallel.
  • A rhombus is a parallelogram with all sides of the same length.
  • A kite is a quadrilateral with two pairs of adjacent sides of the same lengths.
  • A rectangle is a parallelogram with at least one right angle.
  • A square is a rectangle with all sides of the same length.

Examples

  • A garden plot has four sides, with opposite sides parallel and all corners forming right angles. This shape is a rectangle.
  • A kite has two short sides of equal length next to each other, and two long sides of equal length next to each other. This follows the definition of a kite.
  • A slice of cheese is a quadrilateral with only one pair of parallel sides. This makes it a trapezoid.

Explanation

Think of these shapes like a family tree! A square is a special type of rectangle, which is a special type of parallelogram. Each shape inherits traits from the one above it but adds its own unique rule.

Book overview

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Chapter 16: Geometric Measurement: Classify Two-Dimensional Figures

  1. Lesson 1

    Lesson 1: Classify Triangles

  2. Lesson 2Current

    Lesson 2: Classify Quadrilaterals

  3. Lesson 3

    Lesson 3: Continue to Classify Quadrilaterals

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Types of Quadrilaterals

Property

  • A quadrilateral is a polygon with four sides.
  • A trapezoid is a quadrilateral with one pair of parallel sides.
  • A parallelogram is a quadrilateral with both pairs of opposing sides parallel.
  • A rhombus is a parallelogram with all sides of the same length.
  • A kite is a quadrilateral with two pairs of adjacent sides of the same lengths.
  • A rectangle is a parallelogram with at least one right angle.
  • A square is a rectangle with all sides of the same length.

Examples

  • A garden plot has four sides, with opposite sides parallel and all corners forming right angles. This shape is a rectangle.
  • A kite has two short sides of equal length next to each other, and two long sides of equal length next to each other. This follows the definition of a kite.
  • A slice of cheese is a quadrilateral with only one pair of parallel sides. This makes it a trapezoid.

Explanation

Think of these shapes like a family tree! A square is a special type of rectangle, which is a special type of parallelogram. Each shape inherits traits from the one above it but adds its own unique rule.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 16: Geometric Measurement: Classify Two-Dimensional Figures

  1. Lesson 1

    Lesson 1: Classify Triangles

  2. Lesson 2Current

    Lesson 2: Classify Quadrilaterals

  3. Lesson 3

    Lesson 3: Continue to Classify Quadrilaterals