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

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

We have 8 shapes labeled (from top to bottom):
- First shape (no letter) → let’s call it Shape 1
- Then D, C, B, A, E, G, H

And 8 descriptions on the right. We need to match them using the word bank:

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

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Let’s look at each description one by one and find which shape fits.

Description 1:
> Name: _______________
> 1 pair of parallel lines
> 2 equal sides
> 1 line of symmetry
> No right angles

This sounds like an Isosceles Trapezoid — it has one pair of parallel sides (the bases), the non-parallel sides are equal, it has one line of symmetry, and no right angles unless specified. Looking at the shapes, Shape E is a trapezoid that looks isosceles (sides slant equally). So this matches E.

Wait — actually, let’s check all shapes first before assigning.

Better approach: Let’s identify each shape visually first.

Shape 1 (top): Looks like a trapezoid with only one pair of parallel sides, not isosceles? Actually, looking again — it might be a general trapezoid. But let’s compare.

Actually, let’s list the shapes with their likely names:

- Shape 1 (top): Trapezoid (only one pair of parallel sides, not symmetric) → probably just “Trapezoid”
- D: Parallelogram (opposite sides parallel and equal, no right angles)
- C: Square (all sides equal, 4 right angles, diagonals bisect at right angles)
- B: Arrowhead (also called dart — concave quadrilateral, looks like an arrow pointing up)
- A: Rectangle (opposite sides equal, 4 right angles)
- E: Isosceles Trapezoid (one pair parallel, legs equal, symmetric)
- G: Rhombus (all sides equal, opposite sides parallel, diagonals bisect at right angles, no right angles)
- H: Kite (two pairs of adjacent equal sides, one line of symmetry, diagonals cross at right angles)

Now let’s match descriptions:

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Description 1:
> 1 pair of parallel lines
> 2 equal sides
> 1 line of symmetry
> No right angles

→ This is Isosceles Trapezoid → matches Shape E

Description 2:
> Opposite sides equal
> Opposite sides parallel
> 4 right angles

→ That’s a Rectangle → matches Shape A

Description 3:
> 2 pairs of equal adjacent sides
> 1 line of symmetry

→ That’s a Kite → matches Shape H

Description 4:
> All sides equal
> Opposite sides parallel
> Diagonals bisect at right angles
> No right angles

→ That’s a Rhombus → matches Shape G

Description 5:
> 1 pair of parallel lines

→ Just a basic Trapezoid → matches Shape 1 (the very top one)

Description 6:
> All sides equal
> Opposite sides parallel
> 4 right angles
> Diagonals bisect at right angles

→ That’s a Square → matches Shape C

Description 7:
> 2 pairs of equal adjacent sides
> Diagonals cross at right angles

→ Again, this could be kite or rhombus, but note: rhombus already taken. Also, kite has diagonals crossing at right angles. But wait — description says “2 pairs of equal adjacent sides” — that’s kite. But we already assigned kite to description 3? Wait, let’s check.

Actually, description 3 said: “2 pairs of equal adjacent sides + 1 line of symmetry” → that’s kite.

Description 7 says: “2 pairs of equal adjacent sides + diagonals cross at right angles” — also kite? But kite satisfies both. Hmm.

Wait — maybe I made a mistake.

Let me reassign carefully.

Let’s take description 7:
“2 pairs of equal adjacent sides” — that defines a kite.
“Diagonals cross at right angles” — also true for kite.
But description 3 also says “2 pairs of equal adjacent sides” and “1 line of symmetry” — also kite.

That can’t be — each description should match a different shape.

Ah! Wait — perhaps description 7 is for Arrowhead? But arrowhead is a type of kite (concave kite). Let’s check.

Actually, in some curricula, "Arrowhead" is considered a special case of kite.

Looking at Shape B — it’s an arrowhead (dart). It has two pairs of adjacent equal sides? Let’s see: in an arrowhead, typically two short sides equal, two long sides equal, and they are adjacent. And diagonals cross at right angles? Yes, often.

But let’s check standard definitions.

Perhaps better to use elimination.

List of shapes and their properties:

1. Top shape (let’s call it F for now): Trapezoid — 1 pair parallel, no other special properties → matches description 5: “1 pair of parallel lines”

D: Parallelogram — opposite sides equal and parallel, no right angles → matches last description: “Opposite sides are equal, 2 pairs of parallel sides, no right angles”

C: Square — all sides equal, 4 right angles, diagonals bisect at right angles → matches description 6

B: Arrowhead — this is a concave quadrilateral. Properties: two pairs of adjacent equal sides? In a typical arrowhead, yes. One line of symmetry? Yes. Diagonals cross at right angles? Sometimes. But let’s see description 7: “2 pairs of equal adjacent sides, diagonals cross at right angles” — could be arrowhead.

A: Rectangle — opposite sides equal, parallel, 4 right angles → description 2

E: Isosceles Trapezoid — 1 pair parallel, 2 equal sides (legs), 1 line of symmetry, no right angles → description 1

G: Rhombus — all sides equal, opposite sides parallel, diagonals bisect at right angles, no right angles → description 4

H: Kite — 2 pairs of adjacent equal sides, 1 line of symmetry, diagonals cross at right angles → so which description?

Description 3: “2 pairs of equal adjacent sides, 1 line of symmetry” → that’s kite → H

Description 7: “2 pairs of equal adjacent sides, diagonals cross at right angles” — also kite? But we can’t assign same shape twice.

Unless... description 7 is for arrowhead? Because arrowhead also has those properties.

In many worksheets, arrowhead is treated separately.

Let me check online or standard matching.

Since this is a common worksheet, let’s think logically.

Description 7: “2 pairs of equal adjacent sides” — that’s definition of kite. But arrowhead is a type of kite. However, in this context, since both are listed separately, likely:

- Kite (convex) → H
- Arrowhead (concave) → B

And both may satisfy similar properties, but let’s see the descriptions given.

Description 3: “2 pairs of equal adjacent sides, 1 line of symmetry” — this fits both kite and arrowhead.

Description 7: “2 pairs of equal adjacent sides, diagonals cross at right angles” — also fits both.

But perhaps for arrowhead, the diagonals do cross at right angles, and it has two pairs of adjacent equal sides.

Maybe the key is in the number of lines of symmetry or something else.

Another idea: look at description for arrowhead specifically.

Perhaps I should match based on unique properties.

Let’s list all descriptions and find best fit.

Start over with descriptions:

Desc 1: 1 pair parallel, 2 equal sides, 1 line sym, no right angles → Isosceles Trapezoid → E

Desc 2: opp sides equal, opp sides parallel, 4 right angles → Rectangle → A

Desc 3: 2 pairs equal adj sides, 1 line sym → Kite → H (since H looks like a standard kite)

Desc 4: all sides equal, opp sides parallel, diags bisect at right angles, no right angles → Rhombus → G

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

Desc 6: all sides equal, opp sides parallel, 4 right angles, diags bisect at right angles → Square → C

Desc 7: 2 pairs equal adj sides, diags cross at right angles → this must be Arrowhead → B, because kite is already used, and arrowhead also has these properties. In fact, for arrowhead, diagonals are perpendicular.

Desc 8: opp sides equal, 2 pairs parallel sides, no right angles → Parallelogram → D

Yes, that works.

So:

- Desc 1 → E → Isosceles Trapezoid
- Desc 2 → A → Rectangle
- Desc 3 → H → Kite
- Desc 4 → G → Rhombus
- Desc 5 → top shape → Trapezoid
- Desc 6 → C → Square
- Desc 7 → B → Arrowhead
- Desc 8 → D → Parallelogram

Now, what about the labels? The shapes are labeled as:

Top: no letter — let's say it's the first one

Then D, C, B, A, E, G, H

So:

- Top shape (unlabeled) → Trapezoid → matches desc 5
- D → Parallelogram → desc 8
- C → Square → desc 6
- B → Arrowhead → desc 7
- A → Rectangle → desc 2
- E → Isosceles Trapezoid → desc 1
- G → Rhombus → desc 4
- H → Kite → desc 3

Perfect.

Now, to write the answers in order as per the worksheet.

The worksheet has the shapes on left, descriptions on right, and we need to draw lines and write the name.

But since we're providing final answer, we'll list for each description the correct shape name.

The descriptions are listed from top to bottom on the right side.

So:

First description (top right):
> Name: _______________
> 1 pair of parallel lines
> 2 equal sides
> 1 line of symmetry
> No right angles
→ Isosceles Trapezoid

Second description:
> Opposite sides equal
> Opposite sides parallel
> 4 right angles
→ Rectangle

Third:
> 2 pairs of equal adjacent sides
> 1 line of symmetry
→ Kite

Fourth:
> All sides equal
> Opposite sides parallel
> Diagonals bisect at right angles
> No right angles
→ Rhombus

Fifth:
> 1 pair of parallel lines
→ Trapezoid

Sixth:
> All sides equal
> Opposite sides parallel
> 4 right angles
> Diagonals bisect at right angles
→ Square

Seventh:
> 2 pairs of equal adjacent sides
> Diagonals cross at right angles
→ Arrowhead

Eighth:
> Opposite sides are equal
> 2 pairs of parallel sides
> No right angles
→ Parallelogram

Now, to confirm with the shapes:

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

All match.

Final Answer:

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

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