Quadrilateral Properties
A free Geometry lesson from the “Geometry Foundations” unit, with a worked example and practice problems including step-by-step solutions.
Quadrilaterals are four-sided polygons. Parallelograms have two pairs of parallel sides, rectangles add right angles, rhombi add four congruent sides, and squares have both. In Geometry Foundations, students need to read the diagram, name the relationship, choose a theorem or formula, and justify why the result follows. The expanded practice now includes fluency, transfer, cumulative review, and proof-style reasoning so Geometry feels connected instead of isolated by topic.
What you'll learn
- Classify quadrilaterals
- Use parallelogram properties
- Distinguish rectangles, rhombi, squares, and trapezoids
Worked example
Problem. A quadrilateral has two pairs of parallel sides and four right angles. What is it?
- Two pairs of parallel sides make it a parallelogram.
- Four right angles make it a rectangle.
- It could be a square only if all sides are also congruent.
- Connect the result back to Quadrilateral Properties so the geometric relationship is explicit.
Answer: rectangle
Lesson preview: this page shows 5 practice items. The interactive activity contains 28 practice items and 15 quiz items (multiple choice and typed response). Counts include repeated prompts and variants.
Practice problems
1. A quadrilateral with two pairs of parallel sides is a...
Choices: Parallelogram · Triangle · Circle · Ray
Show solution
- This is the definition of a parallelogram.
Answer: Parallelogram
2. A parallelogram with four right angles is a...
Choices: Rectangle · Kite only · Trapezoid only · Pentagon
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- Right angles make it a rectangle.
Answer: Rectangle
3. A parallelogram with four congruent sides is a...
Choices: Rhombus · Rectangle always · Circle · Scalene triangle
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- A rhombus has all sides congruent.
Answer: Rhombus
4. A square is always a...
Choices: Rectangle and rhombus · Trapezoid only · Triangle · Circle
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- Squares have four right angles and four congruent sides.
Answer: Rectangle and rhombus
5. Consecutive angles in a parallelogram add to what measure?
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- Consecutive parallelogram angles are supplementary.
Answer: 180
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