Grade 3 · Geometry · MAT-03-GEO-001
Classify Quadrilaterals by Attributes
Represent classify quadrilaterals by attributes with words, symbols, diagrams, or models appropriate to Grade 3.
Learning objectives
What you should be able to do
- Represent classify quadrilaterals by attributes with words, symbols, diagrams, or models appropriate to Grade 3.
- Solve problems involving classify quadrilaterals by attributes accurately and explain why the method works.
- Check results for reasonableness using a second representation, inverse relationship, benchmark, or property when appropriate.
Prerequisite check
Make sure the foundation is ready.
Checks conceptual readiness before new Grade 3 reasoning.
Checks whether prior skills are available for use, not only recalled by name.
Learn
Build the idea from meaning, not memorization.
Meaning of Classify Quadrilaterals by Attributes
Quadrilaterals can be grouped by shared attributes such as parallel sides, equal sides, and right angles.
A reliable reasoning strategy
List observable properties, then place a shape into every category whose definition it satisfies.
Representations that should agree
A square can belong to more than one category because it satisfies the definitions of rectangle and rhombus as well as square. A correct model, equation, verbal explanation, or diagram should preserve the same quantities and relationships.
How to check the result
Check whether the answer fits the quantities, units, and structure of the problem. Use a second representation or inverse relationship when available, and explain what would make an answer unreasonable.
Interactive math lab
Change it. See what stays true.
Geometry Explorer
- build a model
- change one quantity
- predict before calculating
- explain why the result changes
Worked examples
Twenty different ways to see the concept work.
Which quadrilateral matches: 4 right angles; opposite sides equal?
rectangleClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides?
rhombusClassify using defining side and angle attributes.
Which quadrilateral matches: 2 pairs of parallel opposite sides?
parallelogramClassify using defining side and angle attributes.
Which quadrilateral matches: at least one pair of parallel sides?
trapezoidClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides and 4 right angles?
squareClassify using defining side and angle attributes.
Which quadrilateral matches: 4 right angles; opposite sides equal?
rectangleClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides?
rhombusClassify using defining side and angle attributes.
Which quadrilateral matches: 2 pairs of parallel opposite sides?
parallelogramClassify using defining side and angle attributes.
Which quadrilateral matches: at least one pair of parallel sides?
trapezoidClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides and 4 right angles?
squareClassify using defining side and angle attributes.
Which quadrilateral matches: 4 right angles; opposite sides equal?
rectangleClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides?
rhombusClassify using defining side and angle attributes.
Which quadrilateral matches: 2 pairs of parallel opposite sides?
parallelogramClassify using defining side and angle attributes.
Which quadrilateral matches: at least one pair of parallel sides?
trapezoidClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides and 4 right angles?
squareClassify using defining side and angle attributes.
Which quadrilateral matches: 4 right angles; opposite sides equal?
rectangleClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides?
rhombusClassify using defining side and angle attributes.
Which quadrilateral matches: 2 pairs of parallel opposite sides?
parallelogramClassify using defining side and angle attributes.
Which quadrilateral matches: at least one pair of parallel sides?
trapezoidClassify using defining side and angle attributes.
Which quadrilateral matches: 4 equal sides and 4 right angles?
squareClassify using defining side and angle attributes.
Practice
Guided practice with hints
01Which quadrilateral matches: 4 right angles; opposite sides equal?
Hint: List observable properties, then place a shape into every category whose definition it satisfies.
Answer: rectangle
02Which quadrilateral matches: 4 equal sides?
Hint: List observable properties, then place a shape into every category whose definition it satisfies.
Answer: rhombus
03Which quadrilateral matches: 2 pairs of parallel opposite sides?
Hint: List observable properties, then place a shape into every category whose definition it satisfies.
Answer: parallelogram
04Which quadrilateral matches: at least one pair of parallel sides?
Hint: List observable properties, then place a shape into every category whose definition it satisfies.
Answer: trapezoid
05Which quadrilateral matches: 4 equal sides and 4 right angles?
Hint: List observable properties, then place a shape into every category whose definition it satisfies.
Answer: square
06Which quadrilateral matches: 4 right angles; opposite sides equal?
Hint: List observable properties, then place a shape into every category whose definition it satisfies.
Answer: rectangle
Practice
Independent practice
01Which quadrilateral matches: 4 right angles; opposite sides equal?
Answer: rectangle
02Which quadrilateral matches: 4 equal sides?
Answer: rhombus
03Which quadrilateral matches: 2 pairs of parallel opposite sides?
Answer: parallelogram
04Which quadrilateral matches: at least one pair of parallel sides?
Answer: trapezoid
05Which quadrilateral matches: 4 equal sides and 4 right angles?
Answer: square
06Which quadrilateral matches: 4 right angles; opposite sides equal?
Answer: rectangle
07Which quadrilateral matches: 4 equal sides?
Answer: rhombus
08Which quadrilateral matches: 2 pairs of parallel opposite sides?
Answer: parallelogram
Common mistakes
Learn to catch the error, not just the answer.
Classify by definitions and attributes rather than by how a shape is rotated or drawn.
Reconnect the answer to classify quadrilaterals by attributes and verify that the model, calculation, and label describe the same quantity.
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Identify and describe shapes in designs, buildings, and diagrams.
- Use classify quadrilaterals by attributes to interpret or solve a Grade 3 situation with quantities, diagrams, measurements, or data.
Challenge problems
Which quadrilateral matches: 4 right angles; opposite sides equal?
rectangle
Which quadrilateral matches: 4 equal sides?
rhombus
Which quadrilateral matches: 2 pairs of parallel opposite sides?
parallelogram
Which quadrilateral matches: at least one pair of parallel sides?
trapezoid
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 4
Game mode
Classify Quadrilaterals by Attributes Challenge
Solve and explain Grade 3 problems involving classify quadrilaterals by attributes without relying on answer guessing.
Practice
Mastery check
01Which quadrilateral matches: 4 right angles; opposite sides equal?
Answer: rectangle
02Which quadrilateral matches: 4 equal sides?
Answer: rhombus
03Which quadrilateral matches: 2 pairs of parallel opposite sides?
Answer: parallelogram
04Which quadrilateral matches: at least one pair of parallel sides?
Answer: trapezoid
05Which quadrilateral matches: 4 equal sides and 4 right angles?
Answer: square
06Which quadrilateral matches: 4 right angles; opposite sides equal?
Answer: rectangle
07Which quadrilateral matches: 4 equal sides?
Answer: rhombus
08Which quadrilateral matches: 2 pairs of parallel opposite sides?
Answer: parallelogram
Terminology
Words to know
- quadrilateral
- A polygon with four sides.
- right angle
- An angle measuring 90 degrees.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — Grade 3, 3.G.1
Primary standards alignment for Classify Quadrilaterals by Attributes.2023 Mathematics Framework for California Public Schools
Instructional emphasis on reasoning, representations, problem solving, and equitable access.