Properties of Quadrilaterals (C) | PDF printable Geometry Worksheets - Free Printable

Let’s go step by step to match each shape with its correct description.

We have 8 shapes labeled A through H on the left, and 8 descriptions on the right. We need to match them using the word bank at the top:

Word Bank:
- Rectangle
- Arrowhead
- Rhombus
- Isosceles Trapezoid
- Square
- Trapezoid
- Kite
- Parallelogram

---

Step 1: Look at Shape A — it’s a rectangle (longer horizontally, 4 right angles, opposite sides equal)
Description that matches:
→ “Opposite sides equal, Opposite sides parallel, 4 right angles” → That’s Rectangle

But wait — let’s check all descriptions first to avoid mistakes.

---

List of Descriptions (right column):

1. Name: ______
- 1 pair of parallel lines
- 2 equal sides
- 1 line of symmetry
- No right angles
→ This sounds like an Isosceles Trapezoid? Wait — no, isosceles trapezoid has 1 pair of parallel sides AND 2 equal non-parallel sides, and 1 line of symmetry, and usually no right angles. But let’s hold.

Actually, let’s go shape by shape.

---

Shape A: Rectangle → long, flat, 4 right angles, opposite sides equal → matches description:
“Opposite sides equal, Opposite sides parallel, 4 right angles” → YES.

Shape B: Arrowhead (looks like a dart or arrow pointing up) → this is a concave quadrilateral. It has 2 pairs of adjacent equal sides? Actually, in standard terms, this is called an Arrowhead, and it has:
- 2 pairs of equal adjacent sides? Not exactly — actually, it has two short equal sides and two long equal sides meeting at a point. But more importantly, it has 1 line of symmetry (vertical), and no right angles. Also, diagonals cross at right angles? Maybe not always. Let’s see which description fits.

Wait — look at description #7:
“2 pairs of equal adjacent sides, Diagonals cross at right angles” → that’s a Kite.

But Shape B is NOT a kite — it’s concave. The word bank includes “Arrowhead”, so we must use that.

Look for description that says “1 line of symmetry, no right angles, 1 pair of parallel lines?” — no, arrowhead doesn’t have parallel lines.

Actually, let’s re-express:

Standard properties:

- Trapezoid: exactly 1 pair of parallel sides.
- Isosceles Trapezoid: 1 pair of parallel sides, legs equal, 1 line of symmetry, base angles equal, no right angles (usually).
- Parallelogram: 2 pairs of parallel sides, opposite sides equal, opposite angles equal.
- Rectangle: parallelogram + 4 right angles.
- Rhombus: parallelogram + all sides equal.
- Square: rhombus + rectangle → all sides equal, 4 right angles.
- Kite: 2 pairs of adjacent equal sides, 1 line of symmetry, diagonals perpendicular.
- Arrowhead: concave kite-like shape, 1 line of symmetry, no parallel sides, no right angles.

Now let’s match carefully.

---

Go through each description one by one and find matching shape.

---

Description 1:
Name: ______
- 1 pair of parallel lines
- 2 equal sides
- 1 line of symmetry
- No right angles
→ This is Isosceles Trapezoid → Which shape? Look at Shape E: it’s a trapezoid with non-parallel sides equal → yes, that’s isosceles trapezoid. So Shape E → Description 1.

Wait — but Shape E is labeled E, and it’s a trapezoid with slanted equal sides → yes.

But let’s list shapes visually:

Left column shapes:

Top unlabelled: looks like a regular trapezoid (only 1 pair parallel, legs not necessarily equal) → probably just “Trapezoid”

Then D: parallelogram (slanted, opposite sides parallel)

C: square

B: arrowhead

A: rectangle

E: isosceles trapezoid (symmetric, 1 pair parallel, legs equal)

G: another parallelogram? Wait, G looks same as D? Or maybe different angle? Actually, looking again:

Wait — the shapes are:

From top to bottom:

1. Unlabeled top shape: trapezoid (only 1 pair parallel, legs unequal) → should be “Trapezoid”

2. D: parallelogram (opposite sides parallel, no right angles) → could be general parallelogram

3. C: square

4. B: arrowhead

5. A: rectangle

6. E: isosceles trapezoid (symmetric, 1 pair parallel, legs equal)

7. G: another parallelogram? Wait — actually, G looks identical to D? That can’t be. Maybe I misread.

Wait — looking back at original image layout:

The left column has 8 boxes:

Box 1: unlabeled — trapezoid (non-isosceles)

Box 2: labeled D — parallelogram

Box 3: labeled C — square

Box 4: labeled B — arrowhead

Box 5: labeled A — rectangle

Box 6: labeled E — isosceles trapezoid

Box 7: labeled G — another parallelogram? Or rhombus? Wait, G looks like a rhombus? No — rhombus has all sides equal. G looks like a slanted rectangle — so parallelogram.

Wait — perhaps G is a rhombus? Let me think.

Actually, in many worksheets, they show:

- Rhombus: diamond-shaped, all sides equal, no right angles.

Looking at Shape H: it’s a diamond shape tilted — that might be rhombus.

Shape G: also slanted, but maybe not all sides equal? Hard to tell from text.

Perhaps better to match by properties.

Let’s list all descriptions and assign:

---

Description 1:
- 1 pair of parallel lines
- 2 equal sides
- 1 line of symmetry
- No right angles
→ Isosceles Trapezoid → matches Shape E

Description 2:
- Opposite sides equal
- Opposite sides parallel
- 4 right angles
→ Rectangle → matches Shape A

Description 3:
- 2 pairs of equal adjacent sides
- 1 line of symmetry
→ Kite → which shape? Shape H? Or Shape B?

Shape B is arrowhead — which is a type of concave kite, but typically "kite" refers to convex. Word bank has both "Kite" and "Arrowhead", so likely:

- Convex kite: 2 pairs adjacent equal sides, 1 line of symmetry, diagonals perpendicular → that’s description 7 or 8?

Description 7:
“2 pairs of equal adjacent sides, Diagonals cross at right angles” → that’s Kite

Description 3: “2 pairs of equal adjacent sides, 1 line of symmetry” — also kite, but missing diagonal info. Probably still kite.

But we have two kites? No — arrowhead is separate.

Actually, standard definition:

- Kite: convex, 2 pairs adjacent equal sides, 1 line of symmetry, diagonals perpendicular.

- Arrowhead: concave version, same side properties but indented.

So perhaps:

Description 3: “2 pairs of equal adjacent sides, 1 line of symmetry” → could be either, but since arrowhead is listed separately, and description 3 doesn't mention diagonals, maybe it's for arrowhead? But arrowhead may not have diagonals crossing at right angles? Actually, in arrowhead, diagonals do cross at right angles too.

This is confusing.

Let’s try assigning based on unique features.

---

Description 4:
- All sides equal
- Opposite sides parallel
- Diagonals bisect at right angles
- No right angles
→ Rhombus → which shape? Shape G or H? If H is diamond-shaped, likely rhombus.

Description 5:
- 1 pair of parallel lines
→ Just “Trapezoid” (general) → matches the top unlabeled shape (which is a trapezoid with only 1 pair parallel, legs not equal)

Description 6:
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals bisect at right angles
→ Square → matches Shape C

Description 7:
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles
→ Kite → matches Shape H? Or Shape B?

Shape H is a convex diamond — if it’s a kite, then yes. But if all sides equal, it’s rhombus.

Wait — description 4 says “all sides equal... no right angles” → rhombus.

Description 6 says “all sides equal... 4 right angles” → square.

So for kite, it should NOT have all sides equal — only two pairs of adjacent equal sides.

So Shape H: if it’s a kite, then two short sides and two long sides adjacent.

In the image, Shape H looks like a rhombus? Or kite?

Actually, in many such worksheets, the last shape H is often a kite.

Similarly, Shape G might be a rhombus.

Let’s assume:

- Shape G: rhombus (all sides equal, no right angles) → matches description 4

- Shape H: kite (two pairs adjacent equal, diagonals perpendicular) → matches description 7

Then what about description 3: “2 pairs of equal adjacent sides, 1 line of symmetry” — this is also true for kite, but perhaps redundant. Or maybe for arrowhead?

Description 8:
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles
→ Parallelogram → matches Shape D or G? But G is rhombus, so D is parallelogram.

Shape D is a typical parallelogram.

Now, what about Shape B: arrowhead.

Which description fits arrowhead?

Arrowhead has:
- 2 pairs of equal adjacent sides (like a kite, but concave)
- 1 line of symmetry
- Diagonals cross at right angles (in most cases)
- No right angles
- No parallel sides

So it could match description 3 or 7.

But description 3 says “2 pairs of equal adjacent sides, 1 line of symmetry” — doesn't mention diagonals.

Description 7 says “2 pairs of equal adjacent sides, Diagonals cross at right angles” — also true for arrowhead.

But we have to choose one for arrowhead and one for kite.

Typically, in such worksheets, "kite" is convex, "arrowhead" is concave, and both have similar properties except convexity.

But the descriptions don't specify convex/concave.

However, looking at the word bank, both are included, so we must assign both.

Let’s see which description is left.

Also, there is description for parallelogram: description 8.

And for rhombus: description 4.

For square: description 6.

For rectangle: description 2.

For isosceles trapezoid: description 1.

For trapezoid: description 5.

That leaves descriptions 3 and 7 for kite and arrowhead.

Now, description 3: “2 pairs of equal adjacent sides, 1 line of symmetry” — this is minimal for kite/arrowhead.

Description 7: adds “diagonals cross at right angles” — which is also true for both.

But perhaps in some curricula, arrowhead is defined without mentioning diagonals, while kite emphasizes diagonals.

I recall that in some sources, the arrowhead is described as having 1 line of symmetry and no right angles, and 2 pairs of equal adjacent sides.

Whereas kite is described with diagonals perpendicular.

So let’s assign:

- Description 3: Arrowhead (Shape B) — because it doesn't mention diagonals, and arrowhead is less commonly associated with diagonal properties in basic geometry.

- Description 7: Kite (Shape H) — because it mentions diagonals crossing at right angles, which is a key property of kites.

Then what about Shape G? We said rhombus for description 4.

Shape G: if it's a rhombus, then description 4 fits.

Shape D: parallelogram — description 8.

Shape E: isosceles trapezoid — description 1.

Top shape (unlabeled): trapezoid — description 5.

Shape A: rectangle — description 2.

Shape C: square — description 6.

Shape B: arrowhead — description 3.

Shape H: kite — description 7.

Now, what about description 8? We assigned to Shape D.

Description 8: “Opposite sides are equal, 2 pairs of parallel sides, No right angles” → yes, parallelogram.

Is there any shape left? We have 8 shapes and 8 descriptions.

Shapes:

1. Top unlabeled: trapezoid → desc 5

2. D: parallelogram → desc 8

3. C: square → desc 6

4. B: arrowhead → desc 3

5. A: rectangle → desc 2

6. E: isosceles trapezoid → desc 1

7. G: rhombus → desc 4

8. H: kite → desc 7

Perfect.

Now, confirm each:

- Desc 1: Isosceles Trapezoid → Shape E ✓

- Desc 2: Rectangle → Shape A ✓

- Desc 3: Arrowhead → Shape B ✓ (2 pairs adj equal sides, 1 line sym, no right angles — implied)

- Desc 4: Rhombus → Shape G ✓ (all sides equal, opp sides parallel, diag bisect at rt angles, no rt angles)

- Desc 5: Trapezoid → top shape ✓ (1 pair parallel lines)

- Desc 6: Square → Shape C ✓

- Desc 7: Kite → Shape H ✓ (2 pairs adj equal sides, diag cross at rt angles)

- Desc 8: Parallelogram → Shape D ✓ (opp sides equal, 2 pairs parallel, no rt angles)

Note: For Shape G, if it's drawn as a rhombus, it should have all sides equal. In the image, it might look like a slanted square, but without right angles, so rhombus.

Similarly, Shape H is a kite — not all sides equal, but two pairs adjacent equal.

In the answer, we need to write the name for each description.

The task is: for each description on the right, write the shape name in the blank.

So final matching:

Description 1: Isosceles Trapezoid

Description 2: Rectangle

Description 3: Arrowhead

Description 4: Rhombus

Description 5: Trapezoid

Description 6: Square

Description 7: Kite

Description 8: Parallelogram

But let's double-check description 3 and 7.

Description 3: "2 pairs of equal adjacent sides, 1 line of symmetry" — this is true for both kite and arrowhead, but since arrowhead is concave, and sometimes not emphasized with diagonals, and description 7 specifies diagonals, it makes sense to give description 3 to arrowhead and 7 to kite.

Moreover, in the word bank, "Arrowhead" is listed, and it's a specific shape.

Another way: look at the shapes.

Shape B (arrowhead) is concave, so when you draw diagonals, they may not both be inside, but they still intersect at right angles in symmetric arrowheads.

But to avoid overcomplicating, and since the worksheet likely intends:

- Arrowhead for description 3 (minimal properties)

- Kite for description 7 (with diagonal property)

Yes.

Also, for description 4: "All sides equal, Opposite sides parallel, Diagonals bisect at right angles, No right angles" — definitely rhombus.

Description 6: same but with 4 right angles — square.

Description 8: parallelogram — no right angles, so not rectangle.

All good.

Final Answer:

For the descriptions in order from top to bottom on the right:

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

But the user didn't ask to list them; they want the solution to the task, which is to fill in the blanks.

Since the instruction is to provide the final answer, and the task is to match and write the names, I'll provide the names corresponding to each description box.

In the response, since ExplainAnswer is false, etc., I just give Final Answer.

But what format? Probably list the answers in order.

Since the descriptions are in a column, I'll list the shape names for each description in the order they appear on the right.

So:

First description (top right): Isosceles Trapezoid

Second: Rectangle

Third: Arrowhead

Fourth: Rhombus

Fifth: Trapezoid

Sixth: Square

Seventh: Kite

Eighth: Parallelogram

To be precise, let's number them as per the image.

In the image, the right column has 8 boxes, each starting with "Name: _____"

From top to bottom:

Box 1: Name: __________ → Isosceles Trapezoid

Box 2: Name: __________ → Rectangle

Box 3: Name: __________ → Arrowhead

Box 4: Name: __________ → Rhombus

Box 5: Name: __________ → Trapezoid

Box 6: Name: __________ → Square

Box 7: Name: __________ → Kite

Box 8: Name: __________ → Parallelogram

Yes.

Final Answer:
Isosceles Trapezoid
Rectangle
Arrowhead
Rhombus
Trapezoid
Square
Kite
Parallelogram