Educational worksheet for identifying and comparing quadrilateral shapes.

Let’s go step by step to solve each part of the worksheet.

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Part 1: Write the name of each quadrilateral (a–f)

We’ll look at each shape and match it to the definitions given in the box at the top:

- Square: All sides same length, four right angles.
- Rectangle: Opposite sides parallel and same length, four right angles.
- Parallelogram: Two pairs of opposite parallel sides.
- Rhombus: Two pairs of parallel sides, all sides same length.
- Trapezoid: Only one pair of parallel sides.

Now let’s examine each shape:

a. This is a diamond-shaped figure with all sides equal and two pairs of parallel sides — but no right angles. That matches Rhombus.

b. This has only one pair of parallel sides (the top and bottom). The other two sides are not parallel. So this is a Trapezoid.

c. This looks like a tilted square — all sides equal, two pairs of parallel sides, but no right angles shown. Still fits Rhombus. But wait — if it were a square, it would have right angles. Since it doesn’t appear to, we call it Rhombus. However, sometimes squares are drawn tilted — but unless marked with right angle symbols, we assume it’s just a rhombus. Let’s stick with Rhombus.

Wait — actually, looking again: Shape c is small and tilted. If all sides are equal and opposite sides are parallel, it’s a rhombus. Unless specified otherwise, we don’t assume right angles. So yes — Rhombus.

But hold on — maybe I should double-check. In many worksheets, if it’s a perfect square rotated, they still expect “square”. But here, since there are no right angle marks, and it’s drawn as a slanted diamond, it’s safer to say Rhombus.

Actually — let me reconsider based on common textbook usage. Often, if a shape has 4 equal sides and 2 pairs of parallel sides, and no indication of right angles, it’s called a rhombus. A square must have right angles. So unless told otherwise, we go with rhombus.

BUT — looking back at the definition box: Square says “all sides same length; there are four right angles.” So if the drawing doesn’t show right angles, even if it looks like a square, we can’t assume it is. So for safety, we’ll label it Rhombus.

However — some teachers might accept “square” if it appears regular. But strictly speaking, without right angle markers, it’s a rhombus.

Let’s move on and come back if needed.

d. This is a tall rectangle — opposite sides equal and parallel, and clearly has right angles (even if not marked, it’s drawn as a standard rectangle). So this is a Rectangle.

e. This is a slanted four-sided figure with two pairs of parallel sides, but sides are not all equal, and no right angles. So this is a Parallelogram.

f. This has only one pair of parallel sides (top and bottom), so it’s a Trapezoid.

Wait — let’s recheck shape c. It’s very small and tilted. If it’s meant to be a square, it should have right angles. But in the absence of that, and since it’s drawn like a diamond, it’s likely intended to be a Rhombus.

Actually — let’s compare to shape a, which is also a rhombus. Shape c is smaller but similar. So both a and c are rhombuses? That’s possible.

Alternatively, maybe shape c is meant to be a square? But again, no right angles indicated.

I think the safest answer is:

a. Rhombus
b. Trapezoid
c. Rhombus (or possibly Square — but without right angles, Rhombus is correct)
d. Rectangle
e. Parallelogram
f. Trapezoid

But let’s check online or standard answers — no, we can’t. We must reason.

Another thought: In some curricula, any four-sided figure with all sides equal is called a rhombus, and only if it has right angles is it a square. So unless specified, we go with rhombus.

So final for a-f:

a. Rhombus
b. Trapezoid
c. Rhombus
d. Rectangle
e. Parallelogram
f. Trapezoid

Wait — shape c might be intended as a square? Let’s look at its proportions. It looks like all sides are equal and angles might be 90 degrees, but it’s rotated. In many worksheets, they draw squares tilted and still expect “square”.

This is ambiguous. But according to strict definition, if no right angles are marked, we shouldn’t assume. However, in elementary school contexts, often if it looks like a square, they want “square”.

To resolve this, let’s see the difference between square and rhombus: square has right angles, rhombus does not necessarily.

Since the problem gives definitions, and for square it specifies “four right angles”, and shape c does not have those marked, we should not call it a square.

Therefore, I will go with:

a. Rhombus
b. Trapezoid
c. Rhombus
d. Rectangle
e. Parallelogram
f. Trapezoid

But now I recall — in the initial box, the rhombus is defined as “two pairs of parallel sides; all sides the same length” — which matches shape c. And square requires right angles. So yes, c is rhombus.

Okay, settled.

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Part g: How can you tell the difference between a parallelogram and a trapezoid?

From the definitions:

- Parallelogram has two pairs of parallel sides.
- Trapezoid has only one pair of parallel sides.

So the key difference is the number of pairs of parallel sides.

Answer: A parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides.

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Part h: How can you tell the difference between a square and a rhombus?

From definitions:

- Square: all sides same length AND four right angles.
- Rhombus: all sides same length AND two pairs of parallel sides — but no requirement for right angles.

So the difference is that a square must have four right angles, while a rhombus does not need to have right angles.

Answer: A square has four right angles, but a rhombus does not necessarily have right angles — even though both have all sides equal.

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Now, compiling all answers:

a. Rhombus
b. Trapezoid
c. Rhombus
d. Rectangle
e. Parallelogram
f. Trapezoid
g. A parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides.
h. A square has four right angles, but a rhombus does not necessarily have right angles — even though both have all sides equal.

Wait — for shape c, I’m still unsure. Let me think differently.

In many standardized tests, if a shape is drawn as a perfect square but rotated, they still consider it a square. For example, a diamond orientation doesn’t change the properties.

Moreover, in the definition box, the square is shown as upright, but that’s just for illustration.

Perhaps shape c is meant to be a square? Let’s count the sides — all look equal. Angles — if it’s a true square, angles are 90 degrees, even if rotated.

In geometry, rotation doesn’t change the type of shape. So if it’s a square, rotating it doesn’t make it a rhombus — it’s still a square.

Ah! That’s important. A square is a special type of rhombus that has right angles. So if the shape has all sides equal and all angles 90 degrees, it’s a square — regardless of orientation.

In the drawing, shape c is small and tilted, but if we assume it’s drawn accurately, the angles might be 90 degrees. Without measurement, we have to go by appearance.

In most elementary worksheets, if it looks like a square (equal sides, symmetric), they expect "square", even if tilted.

For example, the first shape in the definition box is a square, drawn upright. Shape c is similar but smaller and tilted — likely intended to be a square.

Whereas shape a is clearly a rhombus — longer diagonals, not appearing to have right angles.

So perhaps:

a. Rhombus (not a square because angles aren't 90)
c. Square (because it appears to have equal sides and right angles, even if rotated)

That makes more sense pedagogically.

Let me confirm with logic: if c were a rhombus, why include it separately from a? Both would be rhombuses. But typically, worksheets include different types.

Shape d is rectangle, e is parallelogram, f is trapezoid, b is trapezoid — so having two rhombuses is possible, but less likely.

Shape c is very small — perhaps it's meant to be a square to test if students recognize squares in different orientations.

I think I made a mistake earlier. Let's correct:

- Shape a: rhombus (diamond shape, no right angles apparent)
- Shape c: square (small, but appears to have equal sides and right angles — just rotated)

Yes, that seems better.

So revised:

a. Rhombus
b. Trapezoid
c. Square
d. Rectangle
e. Parallelogram
f. Trapezoid

This way, we have variety: rhombus, trapezoid, square, rectangle, parallelogram, trapezoid — covers all types except maybe another, but it's fine.

And for g and h, as before.

Final decision:

a. Rhombus
b. Trapezoid
c. Square
d. Rectangle
e. Parallelogram
f. Trapezoid
g. A parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides.
h. A square has four right angles, but a rhombus does not necessarily have right angles — even though both have all sides equal.

Yes, this feels right.

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Final Answer:
a. Rhombus
b. Trapezoid
c. Square
d. Rectangle
e. Parallelogram
f. Trapezoid
g. A parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides.
h. A square has four right angles, but a rhombus does not necessarily have right angles — even though both have all sides equal.