Quadrilaterals Worksheets - Math Monks - Free Printable

Let's solve the problem step by step by identifying each quadrilateral based on its properties. We'll analyze each figure using geometric definitions and markings (like right angles, parallel lines, congruent sides).

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Definitions Recap:

- Rectangle: A quadrilateral with four right angles and opposite sides equal and parallel.
- Square: A quadrilateral with four right angles, all sides equal, and opposite sides parallel.
- Rhombus: A quadrilateral with all sides equal, opposite sides parallel, and opposite angles equal (but not necessarily right angles).
- Parallelogram: A quadrilateral with opposite sides parallel and equal.
- Trapezoid: A quadrilateral with exactly one pair of parallel sides.
- Kite: A quadrilateral with two pairs of adjacent equal sides, but no opposite sides equal (in general).
- Isosceles Trapezoid: A trapezoid with non-parallel sides equal and base angles equal.

Now let’s go through each shape:

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1.

- Has four right angles (square corners).
- Opposite sides are marked equal (double tick marks).
- But not all sides are equal — only opposite sides are equal.
- So it is a rectangle.

✔ Answer: Rectangle

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2.

- All four sides have equal length (each side has two tick marks).
- All four angles are right angles (squares at corners).
- This is a square.

✔ Answer: Square

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3.

- Only one pair of sides appears parallel (the top and bottom), indicated by the arrow-like marking.
- The other two sides are slanted.
- It has only one pair of parallel sides → trapezoid.
- No indication of equal sides or right angles.

✔ Answer: Trapezoid

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4.

- Opposite sides are equal in length (marked with single ticks).
- Opposite sides are parallel (indicated by arrows).
- No right angles shown.
- Not all sides equal → not a rhombus.
- This is a parallelogram.

✔ Answer: Parallelogram

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5.

- One pair of sides is parallel (top and bottom) — indicated by arrows.
- The non-parallel sides are equal in length (both have single tick marks).
- This is an isosceles trapezoid.

✔ Answer: Isosceles Trapezoid

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6.

- All sides are equal (each side has double tick marks).
- All angles are right angles (square corners).
- So this is a square.

✔ Answer: Square

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7.

- All sides are equal (each side has double tick marks).
- All angles are right angles (square corners).
- Again, this is a square.

✔ Answer: Square

> Note: Same as #2 and #6 — just different orientation.

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8.

- Two pairs of adjacent sides are equal (each side has tick marks).
- Specifically:
- Top-left and bottom-left sides are equal.
- Top-right and bottom-right sides are equal.
- But no opposite sides are equal.
- Also, no parallel sides indicated.
- This matches the definition of a kite.

✔ Answer: Kite

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✔ Final Answers:

1. Rectangle
2. Square
3. Trapezoid
4. Parallelogram
5. Isosceles Trapezoid
6. Square
7. Square
8. Kite

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Let me know if you'd like this formatted for printing or need explanations for any specific shape!