Classifying quadrilaterals
Understand that shapes in different categories may share attributes defining a larger category; classify quadrilaterals (rhombuses, rectangles, squares) and draw examples of quadrilaterals not in those subcategories
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Classify quadrilaterals inclusively using sides and angles.
Classify quadrilaterals inclusively using sides and angles.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
What is a Trapezoid? (Part 1)
Before you open · source notes
Definitions of trapezoid are compared while classifying quadrilaterals. Not every triangle classification.
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Before you openAsk whether a given quadrilateral fits the trapezoid definition used in the task and why.
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Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “What is a Trapezoid? (Part 1).” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
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Check understanding
- Explain that a square is a special rectangle and also a special rhombus
- Sort shapes into a Venn diagram: quadrilaterals vs rectangles vs squares
- Draw a quadrilateral that is not a rectangle, rhombus, or square
“If you show your child a square, a rectangle, and a rhombus, can they explain what makes them all quadrilaterals — and what makes each one different from the others?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 8–12
Standards