Quadrilateral properties matching worksheet for identifying shapes based on their characteristics.

Let’s go step by step to match each property with the correct quadrilateral.

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1. Have one pair of parallel sides

→ This is the definition of a trapezoid.
Looking at the shapes:
- (c) is labeled “Trapezoid” and has only one pair of parallel sides (top and bottom).
✔ So, 1 → (c)

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2. Have two pairs of opposite parallel sides

→ This describes a parallelogram.
- (b) is labeled “Parallelogram” — it has both pairs of opposite sides parallel.
✔ So, 2 → (b)

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3. Have four right angles and all the sides are of same length.

→ Four right angles + all sides equal = square.
- (d) is labeled “Square” — yes, it has 4 right angles and all sides equal.
Wait — let’s check shape (e): Rhombus also has all sides equal, but does NOT necessarily have right angles.
Shape (d) Square: definitely has 4 right angles and all sides equal.
✔ So, 3 → (d)

But wait — look again at the options:

Actually, shape (d) is labeled “Square”, and shape (e) is “Rhombus”.

Property #3 says: “four right angles AND all sides same length” → that’s square.

So 3 → (d)

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4. Have four right angles and the opposite sides are parallel and of same length

→ This is a rectangle.
Rectangles have 4 right angles, opposite sides parallel and equal (but not necessarily all sides equal).
- (a) is labeled “Rectangle” — matches perfectly.
✔ So, 4 → (a)

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5. Have two pairs of parallel sides and all sides are of same length.

→ Two pairs of parallel sides = parallelogram family.
All sides same length = rhombus or square.
But since it doesn’t mention right angles, this is rhombus.
- (e) is labeled “Rhombus” — yes, it has 2 pairs of parallel sides and all sides equal.
✔ So, 5 → (e)

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Now double-check:

1 → Trapezoid → (c) ✔️
2 → Parallelogram → (b) ✔️
3 → Square → (d) ✔️
4 → Rectangle → (a) ✔️
5 → Rhombus → (e) ✔️

Perfect.

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6. State the differences between a rectangle and a parallelogram

→ A parallelogram has two pairs of opposite sides parallel and equal. Angles can be any size (as long as opposite angles are equal).

→ A rectangle is a special type of parallelogram where all four angles are right angles (90°).

So the main difference:
All rectangles are parallelograms, but not all parallelograms are rectangles.
Rectangles must have 4 right angles; general parallelograms do not.

You can write:

“A rectangle always has four right angles, while a parallelogram may have angles that are not 90 degrees. Also, in a rectangle, diagonals are equal — in a general parallelogram, they are not.”

But for simplicity, just say:

> A rectangle has four right angles. A parallelogram does not necessarily have right angles — its angles can be different, as long as opposite angles are equal.

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Final Answer:

1 → (c)
2 → (b)
3 → (d)
4 → (a)
5 → (e)

6 → A rectangle has four right angles, but a parallelogram does not necessarily have right angles. All rectangles are parallelograms, but not all parallelograms are rectangles.