Math worksheet for identifying and matching quadrilateral shapes with their properties.

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

Look at the shapes:
- Rectangle → two pairs of parallel sides
- Parallelogram → two pairs
- Trapezoid → only ONE pair (that’s its definition!)
- Square → two pairs
- Rhombus → two pairs

✔ So, #1 matches with (c) Trapezoid

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2. Have two pairs of opposite parallel sides

This is true for:
- Rectangle ✔
- Parallelogram ✔
- Square ✔
- Rhombus ✔

But we need to pick the best match from the options given — and since “Parallelogram” is labeled as (b), and it’s the most general shape that fits this description (all others are special types of parallelograms), we’ll match #2 with (b) Parallelogram

Wait — let’s check the other clues first to avoid double-matching.

Actually, looking ahead:

#5 says: “Have two pairs of parallel sides AND all sides same length” → that’s Rhombus or Square.

So #2 is just about having two pairs of opposite parallel sides — no mention of side lengths or angles. That’s exactly what a parallelogram is.

✔ So, #2 matches with (b) Parallelogram

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

Four right angles + all sides equal → that’s a Square

Check the image: (d) is labeled Square, and has right angle marks and looks like all sides equal.

✔ So, #3 matches with (d) Square

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

Four right angles → rectangle or square
Opposite sides parallel and same length → also true for both
BUT — it doesn’t say “all sides same length”, so it’s not requiring a square.

That means this describes a Rectangle

Image (a) is labeled Rectangle, has right angles, opposite sides equal.

✔ So, #4 matches with (a) Rectangle

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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 square already used in #3 (and has right angles too). This clue doesn’t mention right angles — so it’s describing a Rhombus

Image (e) is labeled Rhombus — diamond shape, all sides equal, opposite sides parallel.

✔ So, #5 matches with (e) Rhombus

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Now let’s summarize the matches:

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

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6. State the differences between a rectangle and a parallelogram

Let’s think:

- Both have two pairs of opposite parallel sides.
- BUT: A rectangle has four right angles. A parallelogram does NOT necessarily have right angles — its angles can be slanted.
- Also, in a rectangle, opposite sides are equal (like any parallelogram), but adjacent sides can be different lengths. In a general parallelogram, same thing — but again, no requirement for right angles.

So main difference:
→ Rectangle always has 4 right angles.
→ Parallelogram may have no right angles (unless it’s a rectangle).

Also: All rectangles are parallelograms, but not all parallelograms are rectangles.

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Final Answer:

1 – c
2 – b
3 – d
4 – a
5 – e

6 – A rectangle has four right angles, while a parallelogram does not necessarily have any right angles. Both have two pairs of parallel sides, but only the rectangle guarantees 90-degree corners.