Use Parallel Sides and Right Angles to Classify
Read only the stated attributes and determine the most specific category justified by them.
About 20 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: A four-sided figure has both pairs of opposite sides parallel and four equal sides, but one angle is 60°.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
All quadrilaterals have four sides, but narrower families require extra attributes. A parallelogram has both pairs of opposite sides parallel. A rectangle also has four right angles; a rhombus has four equal sides. A square satisfies both rectangle and rhombus conditions. The categories can overlap.
Read only the stated attributes and determine the most specific category justified by them. Do not infer unstated right angles or equal sides. Explain any broader categories the figure must also belong to.
Choose only a category justified by all its required attributes. Do not treat overlapping shape families as mutually exclusive. Build an attribute checklist for the named shape families.
- Build an attribute checklist for the named shape families.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use only the listed shape features. Choose the most exact shape name that those facts support.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
A four-sided figure has both pairs of opposite sides parallel and four equal sides, but one angle is 60°. It is a rhombus and parallelogram, not a rectangle or square. The non-right angle rules out those narrower right-angle conditions. Choose only a category justified by all its required attributes. Do not treat overlapping shape families as mutually exclusive. Build an attribute checklist for the named shape families.
Check your reasoning
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Helpful tips
- Choose only a category justified by all its required attributes.
- Do not treat overlapping shape families as mutually exclusive.
See the answer and explanation
Rectangle
The right angles define a rectangle; unequal adjacent sides exclude square and rhombus.
Take it further
Explain why a square belongs to rectangle, rhombus, parallelogram, and quadrilateral categories.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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