Properties of Quadrilaterals (C) Worksheet | Fun and Engaging 5th ... - Free Printable

Let's solve this step by step. The task is to match each shape (labeled A–H) on the left with its correct description on the right, using the word bank at the top:

Word Bank:

- Rectangle
- Arrowhead
- Rhombus
- Isosceles Trapezoid
- Square
- Trapezoid
- Kite
- Parallelogram

---

We’ll go through each shape and description, matching them based on their properties.

---

Step 1: Analyze Each Shape

#### Shape A – Rectangle
- It has 4 right angles, opposite sides equal and parallel, and 2 pairs of parallel sides.
- This matches the Rectangle.

But let’s check the descriptions to see which one fits.

Looking at the descriptions on the right:

> "Opposite sides equal, opposite sides parallel, 4 right angles" → This is a Rectangle

✔ So, A → Rectangle

---

#### Shape B – Arrowhead
- Looks like a kite but with a "pointed" center — it's an arrowhead (also called a dart).
- Has 2 pairs of equal adjacent sides, 1 line of symmetry, no right angles, and not all sides equal.
- It's not a regular kite because it's concave.

> Description:
> "2 pairs of equal adjacent sides, 1 line of symmetry" → This matches Kite or Arrowhead?

Wait — Arrowhead is listed in the word bank. Arrowhead is a type of concave kite.

So:
> "2 pairs of equal adjacent sides, 1 line of symmetry" → Arrowhead

✔ So, B → Arrowhead

---

#### Shape C – Square
- All sides equal, all angles 90°, diagonals bisect at right angles, etc.
- This is a Square.

Check the descriptions:

> "All sides equal, opposite sides parallel, 4 right angles, diagonals bisect at right angles" → This is a Square

✔ So, C → Square

---

#### Shape D – Parallelogram
- Opposite sides are equal and parallel, no right angles, two pairs of parallel sides.
- Not a rectangle or rhombus.

> Description:
> "Opposite sides are equal, 2 pairs of parallel sides, no right angles" → Parallelogram

✔ So, D → Parallelogram

---

#### Shape E – Isosceles Trapezoid
- One pair of parallel lines (top and bottom), non-parallel sides equal, and usually symmetrical.
- It's an Isosceles Trapezoid.

> Description:
> "1 pair of parallel lines, 2 equal sides, 1 line of symmetry, no right angles" → This fits Isosceles Trapezoid

✔ So, E → Isosceles Trapezoid

---

#### Shape G – Rhombus
- All sides equal, opposite sides parallel, diagonals bisect at right angles, but no right angles.
- This is a Rhombus.

> Description:
> "All sides equal, opposite sides parallel, diagonals bisect at right angles, no right angles" → Rhombus

✔ So, G → Rhombus

---

#### Shape H – Kite
- Two pairs of adjacent equal sides, diagonals cross at right angles.
- But not necessarily symmetric? Wait — actually, kites have one line of symmetry, and diagonals cross at right angles.

> Description:
> "2 pairs of equal adjacent sides, diagonals cross at right angles" → Kite

✔ So, H → Kite

---

#### Shape F – Missing label? Wait — we have A, B, C, D, E, G, H — but F is missing.

Wait — looking back:

The shapes are labeled:
- Top unnamed (but probably F) → Trapezoid
- Then: D, C, B, A, E, G, H

Wait — the first shape (top) is unlabeled, but then D, C, B, A, E, G, H — that’s 8 shapes.

Let’s list them:

1. First shape (no letter) → looks like a trapezoid (not isosceles, since sides are not equal)
2. D → parallelogram
3. C → square
4. B → arrowhead
5. A → rectangle
6. E → isosceles trapezoid
7. G → rhombus
8. H → kite

So the first shape (top) is unlabeled — but there are 8 shapes and 8 descriptions.

Let’s recheck the descriptions:

There are 8 descriptions on the right.

Let’s number them:

1. Name: ______
- 1 pair of parallel lines
- 2 equal sides
- 1 line of symmetry
- No right angles
→ Isosceles Trapezoid → already matched to E

2. Name: ______
- Opposite sides equal
- Opposite sides parallel
- 4 right angles
→ Rectangle → matched to A

3. Name: ______
- 2 pairs of equal adjacent sides
- 1 line of symmetry
→ Arrowhead → matched to B

4. Name: ______
- All sides equal
- Opposite sides parallel
- Diagonals bisect at right angles
- No right angles
→ Rhombus → matched to G

5. Name: ______
- 1 pair of parallel lines
→ This is Trapezoid (general), not necessarily isosceles

6. Name: ______
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals bisect at right angles
→ Square → matched to C

7. Name: ______
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles
→ Kite → matched to H

8. Name: ______
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles
→ Parallelogram → matched to D

Now, the only shape not yet matched is the topmost shape, which is not labeled — but must be F (probably).

And the only description not yet used is:

> "1 pair of parallel lines" → This is Trapezoid (non-isosceles)

So the top shape must be Trapezoid.

Let’s confirm:

- Top shape: has only one pair of parallel lines (top and bottom), other sides not equal → Trapezoid
- Matches description: "1 pair of parallel lines"

✔ So, Top shape (F) → Trapezoid

---

Final Matching:

| Shape | Name |
|-------|-------------------|
| F | Trapezoid |
| D | Parallelogram |
| C | Square |
| B | Arrowhead |
| A | Rectangle |
| E | Isosceles Trapezoid |
| G | Rhombus |
| H | Kite |

---

Now, fill in the blanks on the right side:

Let’s go down the descriptions and assign the correct name:

1. Name: Isosceles Trapezoid
- 1 pair of parallel lines
- 2 equal sides
- 1 line of symmetry
- No right angles
→ Matches E

2. Name: Rectangle
- Opposite sides equal
- Opposite sides parallel
- 4 right angles
→ Matches A

3. Name: Arrowhead
- 2 pairs of equal adjacent sides
- 1 line of symmetry
→ Matches B

4. Name: Rhombus
- All sides equal
- Opposite sides parallel
- Diagonals bisect at right angles
- No right angles
→ Matches G

5. Name: Trapezoid
- 1 pair of parallel lines
→ Matches F (top shape)

6. Name: Square
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals bisect at right angles
→ Matches C

7. Name: Kite
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles
→ Matches H

8. Name: Parallelogram
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles
→ Matches D

---

✔ Final Answer:

Matching:

- F (top shape) → Trapezoid
- D → Parallelogram
- C → Square
- B → Arrowhead
- A → Rectangle
- E → Isosceles Trapezoid
- G → Rhombus
- H → Kite

---

Fill in the blanks (right column):

1. Name: Isosceles Trapezoid
2. Name: Rectangle
3. Name: Arrowhead
4. Name: Rhombus
5. Name: Trapezoid
6. Name: Square
7. Name: Kite
8. Name: Parallelogram

---

Summary:

This worksheet tests knowledge of quadrilateral properties. The key is understanding definitions:

- Trapezoid: At least one pair of parallel sides (here, just one pair).
- Isosceles Trapezoid: One pair of parallel sides, non-parallel sides equal, symmetrical.
- Parallelogram: Two pairs of parallel sides, opposite sides equal.
- Rectangle: Parallelogram with 4 right angles.
- Square: Rectangle with all sides equal.
- Rhombus: All sides equal, opposite sides parallel, no right angles.
- Kite: Two pairs of adjacent equal sides, diagonals perpendicular.
- Arrowhead: Concave kite, one line of symmetry.

✔ All matched correctly!