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

Let’s go step by step to match each shape with its correct description using the word bank.

We have these shapes labeled A through H (and one unlabeled at the top):

Left column shapes:
- Top (no letter): Trapezoid-like, but not isosceles? Wait — actually, looking closely, it’s a trapezoid with non-equal legs → just “Trapezoid”
- D: Parallelogram (slanted, opposite sides parallel)
- C: Square (all sides equal, right angles)
- B: Arrowhead (concave quadrilateral, looks like an arrow)
- A: Rectangle (opposite sides equal, all right angles)
- E: Isosceles Trapezoid (trapezoid with equal non-parallel sides)
- G: Rhombus (all sides equal, slanted, no right angles)
- H: Kite (two pairs of adjacent equal sides, diagonals cross at right angles)

Right column descriptions:

1. “1 pair of parallel lines, 2 equal sides, 1 line of symmetry, no right angles” → This matches Isosceles Trapezoid (shape E)

2. “Opposite sides equal, opposite sides parallel, 4 right angles” → This is Rectangle (shape A)

3. “2 pairs of equal adjacent sides, 1 line of symmetry” → This is Kite (shape H)

4. “All sides equal, opposite sides parallel, diagonals bisect at right angles, no right angles” → This is Rhombus (shape G)

5. “1 pair of parallel lines” → Just a basic Trapezoid (top unlabelled shape)

6. “All sides equal, opposite sides parallel, 4 right angles, diagonals bisect at right angles” → This is Square (shape C)

7. “2 pairs of equal adjacent sides, diagonals cross at right angles” → Again, this is Kite? Wait — we already used Kite for #3. But let’s check: shape H is kite, and shape B is arrowhead. Actually, description #7 says “2 pairs of equal adjacent sides” — that’s still kite. But wait — maybe they’re describing the same thing? Let’s look again.

Wait — description #3: “2 pairs of equal adjacent sides, 1 line of symmetry” → Kite (H)

Description #7: “2 pairs of equal adjacent sides, diagonals cross at right angles” → Also Kite? But we can’t use same shape twice. Hmm.

Actually, looking at shape B — Arrowhead — does it have 2 pairs of equal adjacent sides? Yes! And diagonals cross at right angles? In an arrowhead (dart), one diagonal is inside, one outside — but technically, the diagonals still intersect at right angles if it’s symmetric. But typically, “kite” is convex, “arrowhead” is concave.

But in the word bank, both “Arrowhead” and “Kite” are listed. So perhaps:

- Description #3: “2 pairs of equal adjacent sides, 1 line of symmetry” → could be either, but since arrowhead has 1 line of symmetry too, maybe we need to see which fits better.

Wait — let’s reassign carefully.

List of descriptions again:

1. 1 pair parallel, 2 equal sides, 1 symmetry, no right angles → Isosceles Trapezoid (E)

2. Opposite sides equal & parallel, 4 right angles → Rectangle (A)

3. 2 pairs equal adjacent sides, 1 line of symmetry → This is Kite (H) — because kite has 1 line of symmetry

4. All sides equal, opposite sides parallel, diagonals bisect at right angles, no right angles → Rhombus (G)

5. 1 pair parallel lines → Trapezoid (top shape)

6. All sides equal, opposite sides parallel, 4 right angles, diagonals bisect at right angles → Square (C)

7. 2 pairs equal adjacent sides, diagonals cross at right angles → This must be Arrowhead (B)? But arrowhead is concave. Actually, in some definitions, arrowhead is a type of kite. But since both are in word bank, and description #7 doesn’t mention symmetry, maybe it’s arrowhead.

Wait — description #3 says “1 line of symmetry”, which both kite and arrowhead have. But description #7 says “diagonals cross at right angles” — which both do.

This is confusing. Let’s look at shape B: Arrowhead — it has two pairs of equal adjacent sides, and diagonals intersect at right angles? Actually, in a dart (arrowhead), the diagonals are perpendicular, yes.

But perhaps the worksheet intends:

- Description #3: Kite (H) — because it’s the standard convex one
- Description #7: Arrowhead (B) — even though it’s less common, it fits

Then last one:

8. “Opposite sides are equal, 2 pairs of parallel sides, no right angles” → This is Parallelogram (D)

Yes! That makes sense.

So final matching:

Top shape (no letter) → Description 5: “1 pair of parallel lines” → Trapezoid

D → Description 8: “Opposite sides equal, 2 pairs parallel, no right angles” → Parallelogram

C → Description 6: “All sides equal, opposite sides parallel, 4 right angles, diagonals bisect at right angles” → Square

B → Description 7: “2 pairs equal adjacent sides, diagonals cross at right angles” → Arrowhead

A → Description 2: “Opposite sides equal, opposite sides parallel, 4 right angles” → Rectangle

E → Description 1: “1 pair parallel, 2 equal sides, 1 symmetry, no right angles” → Isosceles Trapezoid

G → Description 4: “All sides equal, opposite sides parallel, diagonals bisect at right angles, no right angles” → Rhombus

H → Description 3: “2 pairs equal adjacent sides, 1 line of symmetry” → Kite

Perfect — all matched.

Final Answer:
Top shape: Trapezoid
D: Parallelogram
C: Square
B: Arrowhead
A: Rectangle
E: Isosceles Trapezoid
G: Rhombus
H: Kite