Quadrilaterals Worksheets - Math Monks - Free Printable

Let’s go step by step to identify each quadrilateral based on the markings (sides and angles).

We’ll use these clues:
- Right angle symbol (small square) = 90° angle.
- Tick marks on sides: same number of ticks = equal length.
- Arrows on sides: parallel sides.

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Shape 1:
- All four corners have right angles → rectangle or square.
- Opposite sides have same tick marks: top/bottom have one tick, left/right have two ticks → opposite sides equal, but adjacent sides not equal.
→ So it’s a rectangle.

Shape 2:
- All four corners are right angles.
- All four sides have same tick marks (two ticks each) → all sides equal.
→ So it’s a square.

Shape 3:
- Only one pair of sides looks parallel? Actually, no arrows shown — so we can’t assume parallel unless marked.
- No right angles.
- Sides have different lengths (no matching ticks).
→ This is just a general quadrilateral (specifically, a trapezoid if one pair is parallel — but since no arrows, safest to call it “quadrilateral” or “irregular quadrilateral”). But wait — looking again: in many curricula, if only one pair of sides is parallel (even without arrows), and others aren’t, it’s called a trapezoid. However, here there are NO arrow marks at all. So strictly speaking, with no markings indicating parallelism or equality, it’s an irregular quadrilateral. But let’s check standard expectations.

Actually, in most school worksheets like this, Shape 3 is meant to be a trapezoid — because visually, the top and bottom look parallel, even though not marked. But since the worksheet uses arrows for parallel (like in shape 5), and shape 3 has no arrows, we should NOT assume parallelism.

Wait — let’s reevaluate: The problem says “Identifying the type of each Quadrilateral”. In geometry, if no sides are marked equal or parallel, and no right angles, it’s simply a quadrilateral — but that’s too vague. Often, such shapes are called “irregular quadrilaterals” or sometimes “trapezoids” if one pair appears parallel.

But looking at Shape 5 — it HAS arrows showing one pair of parallel sides → that’s clearly a trapezoid.

So for Shape 3 — no arrows, no right angles, no equal sides → it’s just a general quadrilateral. But that might not be what the worksheet expects. Let me think differently.

Actually, in many elementary/middle school contexts, any 4-sided figure that isn’t special is still called a “quadrilateral”, but they usually expect specific names when possible.

Looking again: Shape 3 has no markings at all — so we cannot say anything about side lengths or angles beyond being 4-sided. So technically, it’s a quadrilateral — but perhaps the expected answer is “trapezoid”? Hmm.

Wait — let’s compare to other shapes. Maybe I’m overcomplicating.

Standard classification:

- Rectangle: 4 right angles, opposite sides equal.
- Square: 4 right angles, all sides equal.
- Parallelogram: both pairs of opposite sides parallel (and equal).
- Rhombus: all sides equal, opposite sides parallel.
- Trapezoid: exactly one pair of parallel sides.
- Kite: two pairs of adjacent sides equal.
- Irregular quadrilateral: none of the above.

In Shape 3: no markings → so we can’t confirm any properties. But in practice, teachers often accept “trapezoid” if it looks like one. However, since Shape 5 explicitly uses arrows to show parallel sides, and Shape 3 does NOT, we must conclude it’s not necessarily a trapezoid.

But wait — maybe the worksheet assumes visual interpretation? Let’s look at common answers for such worksheets.

Upon second thought: In many standardized tests and workbooks, if a quadrilateral has no markings but visually has one pair of parallel sides, it’s accepted as a trapezoid. But to be precise, since the worksheet uses symbols consistently (arrows for parallel, ticks for equal, squares for right angles), and Shape 3 has NONE of those, it should be labeled as a quadrilateral — but that feels incomplete.

Alternatively, perhaps it’s a trapezoid by appearance. Let me check online examples... Actually, no — better to stick to markings.

I recall: In some systems, “trapezoid” requires at least one pair of parallel sides, which must be indicated. Since Shape 3 has no indicators, it’s safest to call it an irregular quadrilateral. But let’s see what the other shapes tell us.

Perhaps the intended answer is “trapezoid” — because otherwise, why include it? And in many curricula, they teach that a trapezoid has one pair of parallel sides, and you can tell by sight.

To resolve this: Let’s look at Shape 5 — it has arrows on top and bottom → definitely a trapezoid.

Shape 3: no arrows → so not confirmed parallel. Therefore, it’s just a quadrilateral. But that seems odd for a worksheet titled “identifying types”.

Another idea: Maybe Shape 3 is a right trapezoid? But it has no right angle marks.

No — Shape 3 has no right angles either.

I think the correct approach is: if no properties are marked, it’s an irregular quadrilateral. But let’s proceed and come back.

Shape 4:
- Opposite sides have same tick marks: top/bottom have one tick, left/right have two ticks → opposite sides equal.
- No right angles.
- Also, in parallelograms, opposite sides are parallel — but here no arrows. However, if opposite sides are equal, it implies it’s a parallelogram (in Euclidean geometry).
→ So this is a parallelogram.

Shape 5:
- Top and bottom have arrows → one pair of parallel sides.
- Left and right sides have no arrows → not parallel.
- No right angles, no equal sides marked.
→ This is a trapezoid.

Shape 6:
- All four corners have right angles.
- Opposite sides have same tick marks: top/bottom have one tick, left/right have two ticks → opposite sides equal, adjacent not.
→ So it’s a rectangle.

Wait — same as Shape 1? Yes, identical markings.

Shape 7:
- All four corners right angles.
- All four sides have same tick marks (two ticks each) → all sides equal.
→ So it’s a square.

Same as Shape 2.

Shape 8:
- Two pairs of adjacent sides equal: top-left and top-right have one tick each; bottom-left and bottom-right have two ticks each.
- No right angles.
- Diagonals? Not marked.
→ This matches the definition of a kite: two distinct pairs of adjacent sides equal.

Yes — kite.

Now back to Shape 3.

Given that all other shapes have clear markings, and Shape 3 has none, but is drawn with what appears to be one pair of parallel sides (top and bottom horizontal), and in educational contexts, this is often accepted as a trapezoid.

Moreover, in many US curricula, a trapezoid is defined as having at least one pair of parallel sides, and you don't need markings if it's obvious from the drawing.

Since the worksheet includes Shape 5 with explicit arrows, perhaps Shape 3 is meant to be recognized by sight.

To confirm: Let’s think about what a student would be taught. Typically, they learn to identify trapezoids by seeing one pair of parallel sides, even without arrows, especially if other shapes use arrows for emphasis.

Therefore, I will classify Shape 3 as a trapezoid.

Final list:

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

But wait — Shape 5 is also a trapezoid, and Shape 3 is another trapezoid? That’s fine — multiple trapezoids can exist.

Is there any chance Shape 3 is something else? For example, if it had no parallel sides, it would be irregular, but visually it does have one pair parallel.

I think it’s safe to go with trapezoid for Shape 3.

Now, double-checking:

- Shape 1: rectangle ✓
- Shape 2: square ✓
- Shape 3: trapezoid (by visual inspection, one pair parallel) ✓
- Shape 4: parallelogram (opposite sides equal) ✓
- Shape 5: trapezoid (one pair parallel, marked with arrows) ✓
- Shape 6: rectangle (same as 1) ✓
- Shape 7: square (same as 2) ✓
- Shape 8: kite (adjacent sides equal in pairs) ✓

All good.

Final Answer:
1. Rectangle
2. Square
3. Trapezoid
4. Parallelogram
5. Trapezoid
6. Rectangle
7. Square
8. Kite