Quadrilaterals worksheet - Free Printable

Let's solve the quadrilateral matching problem step by step and then answer question 6.

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Part 1: Match the quadrilateral with its definition

We are given 5 definitions (numbered 1–5) and 5 shapes labeled a–e. We need to match each definition to the correct shape.

#### Shape Key:
- a. Parallelogram
- b. Rectangle
- c. Trapezoid
- d. Rhombus
- e. Square

Now let’s go through each definition:

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1. All sides are the same length. There are four right angles.

- This describes a square.
- A square has all sides equal and all angles are 90° (right angles).
- ✔ Match: e. Square

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2. There is only one pair of parallel sides.

- This defines a trapezoid.
- By definition, a trapezoid has exactly one pair of parallel sides.
- ✔ Match: c. Trapezoid

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3. Opposite sides are parallel and the same length. There are four right angles.

- Opposite sides parallel and equal → parallelogram.
- Plus four right angles → this is a rectangle.
- ✔ Match: b. Rectangle

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4. There are two pairs of parallel sides. All sides are the same length.

- Two pairs of parallel sides → parallelogram.
- All sides equal → rhombus.
- So this is a rhombus.
- ✔ Match: d. Rhombus

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5. There are two pairs of opposite parallel sides.

- This is the definition of a parallelogram.
- A parallelogram has two pairs of opposite parallel sides.
- Note: This includes rectangles, squares, and rhombuses, but the most general term here is "parallelogram".
- ✔ Match: a. Parallelogram

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✔ Final Matching Answers:

1. e
2. c
3. b
4. d
5. a

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Question 6: List two ways a rectangle and square are alike and one way in which they are different.

#### Alike:
1. Both have four right angles (90° angles).
2. Both have two pairs of parallel sides.

#### Different:
- In a rectangle, opposite sides are equal, but adjacent sides can be different lengths.
- In a square, all four sides are equal in length.

So, a square is a special type of rectangle where all sides are equal.

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✔ Final Answer for Question 6:

Two ways they are alike:
- Both have four right angles.
- Both have two pairs of parallel sides.

One way they are different:
- A rectangle does not necessarily have all sides equal, but a square does.

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Summary:

Matching:
1. e
2. c
3. b
4. d
5. a

Question 6: As above.

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