Classifying quadrilaterals · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Squares, Rectangles, and Rhombuses

Mathematics · Geometry · ages 8-9
Name ______________________   Date ____________

  1. A Venn sort holds 5 quadrilaterals, and 2 of them are rectangles. How many are quadrilaterals but NOT rectangles?

    Answer: ______________

  2. Which sentence is true?

    • A rectangle is a special square
    • A square is a special rectangle
    • A square has three sides
    • A rectangle has no right angles

  3. What is a quadrilateral?

    • A shape with exactly four straight sides
    • A shape with exactly three straight sides
    • A shape where all sides must be equal

  4. A square is also a rectangle.

    Circle one:   True   False

  5. A square is a special rhombus with square corners. How many right angles does a square have?

    Answer: ______________

  6. Every rhombus is a rectangle.

    Circle one:   True   False

  7. Where does a square go in a Venn diagram of quadrilaterals and rectangles?

    • In the overlap of both groups
    • Outside both groups
    • Only with quadrilaterals, never rectangles
    • Only with rectangles, never quadrilaterals

  8. A class sorts shapes. They put squares inside the rectangle group. Kai says squares belong there. Is Kai right?

    Circle one:   True   False

  9. Leo sorts shapes into a Venn diagram with circles for quadrilaterals, rectangles, and squares. Where should he place a shape with four sides of different lengths and no right angles?

    • Inside the rectangle circle
    • Inside the quadrilateral circle only
    • Inside the square circle

  10. A box holds 12 quadrilateral cards. 5 of them are squares. How many are NOT squares?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Squares, Rectangles, and Rhombuses W1-mt_Xt1cRqaBOW-s1

  1. 3 · 3 is the answer because 5 - 2 = 3.
  2. A square is a special rectangle · A square is a special rectangle is true because a square meets every rectangle rule: 4 sides, opposite sides equal, 4 right angles.
  3. A shape with exactly four straight sides · Quadrilateral just means four-sided shape. Squares, rectangles, and rhombuses are all types of quadrilaterals.
  4. True · A square has four right angles, so it meets every rule a rectangle needs.
  5. 4 · A square has 4 right angles, one at each corner.
  6. False · A rhombus only needs equal sides. Unless its angles are also right angles, it is not a rectangle.
  7. In the overlap of both groups · In the overlap of both groups is correct because a square belongs to each group at once.
  8. True · Kai is right because every square satisfies the rectangle rules.
  9. Inside the quadrilateral circle only · It has four straight sides, so it belongs in the quadrilateral circle. It skips the rectangle and square rules, so it stays outside those smaller circles.
  10. 7 · 7 cards are not squares because 12 - 5 = 7.
Worksheet · LightMySky