Classifying Quadrilaterals

Properties and applications of classifying quadrilaterals.

Lesson 5 of 53 parts Practice Flashcards

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Family Hierarchy

Objective: Apply family hierarchy.

A square is a rectangle and a rhombus; both are parallelograms.

Worked examples

Try itSquare A1 has side length 3. Which larger family must include it?Show answer

Rectangles. A square is a rectangle and a rhombus.

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Objective: Apply family hierarchy.

A square is a rectangle and a rhombus; both are parallelograms.

Worked examples

Try itSquare A1 has side length 3. Which larger family must include it?Show answer

Rectangles. A square is a rectangle and a rhombus.

Objective: Apply coordinate classification.

Use slopes and distances to classify a quadrilateral from coordinates.

Worked examples

Try itQuadrilateral B1 has consecutive slopes 0, undefined, 0, undefined, with all four sides equal. What is it?Show answer

Square. Adjacent sides are perpendicular and all four sides are equal.

Objective: Apply property-based classification.

Use stated properties rather than appearance to classify a quadrilateral.

Worked examples

Try itA drawing of Q1 looks like a parallelogram, but no side or angle relationships are given. Which claim is justified?Show answer

The sketch alone is insufficient to prove it is a parallelogram.. Classification needs given facts or established properties, not appearance alone.

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