Free Quadrilateral Classification Quiz with answer key for educational use.

Let’s go through each shape one by one and decide if it matches each type of quadrilateral.

Remember:
- A square has 4 equal sides and 4 right angles.
- A rectangle has 4 right angles, but opposite sides are equal (not necessarily all 4).
- A rhombus has 4 equal sides, but angles don’t have to be right angles.
- A parallelogram has two pairs of parallel sides.
- A trapezoid has exactly one pair of parallel sides.

We’ll check each shape against these rules.

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Shape A:
It looks like a rectangle that’s tilted — so it’s actually a parallelogram. Let’s check:

1. Square? → No, sides aren’t all equal, and angles aren’t 90°.
2. Rectangle? → No, angles aren’t 90° (it’s slanted).
3. Rhombus? → No, sides aren’t all equal.
4. Parallelogram? → YES! Opposite sides are parallel and equal.
5. Trapezoid? → NO, because trapezoids have only ONE pair of parallel sides — this has TWO.

So for Shape A: Only #4 is “Y”, others are “N”.

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Shape B:
This is a typical parallelogram — slanted, opposite sides parallel and equal.

6. Square? → No.
7. Rectangle? → No, no right angles.
8. Rhombus? → Maybe? Wait — are all sides equal? In the drawing, it doesn’t look like it — top and bottom are longer than sides. So probably not rhombus.
9. Parallelogram? → YES! Two pairs of parallel sides.
10. Trapezoid? → NO, because it has two pairs of parallel sides.

So for Shape B: Only #9 is “Y”, others are “N”.

*(Note: If it were a rhombus, all sides would be same length — here they’re not.)*

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Shape C:
This is a perfect square — all sides equal, all angles 90°.

11. Square? → YES
12. Rectangle? → YES! All squares are rectangles too (because they have 4 right angles).
13. Rhombus? → YES! All squares are rhombuses too (all sides equal).
14. Parallelogram? → YES! Squares have two pairs of parallel sides.
15. Trapezoid? → NO! Trapezoids have ONLY one pair of parallel sides — squares have two.

Wait — hold on! Some definitions say trapezoid = AT LEAST one pair of parallel sides. But in most school curriculums (especially US), trapezoid = EXACTLY one pair. Since this quiz lists trapezoid separately from parallelogram, we assume trapezoid means ONLY one pair.

So for Shape C: #11, 12, 13, 14 = Y; #15 = N.

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Shape D:
This is a kite-like shape? Wait — let’s look: It has four sides, but only one pair of sides looks parallel? Actually, looking closely — none of the sides appear parallel? Or maybe just one pair?

Actually, in standard classification, if it has no parallel sides, it’s not any of these except maybe “quadrilateral” — but our options are limited.

Wait — let’s think again. This shape is called a “kite” sometimes, but kites aren’t listed. Let’s test:

16. Square? → No.
17. Rectangle? → No.
18. Rhombus? → No, sides not equal.
19. Parallelogram? → No, no two pairs of parallel sides.
20. Trapezoid? → Does it have exactly one pair of parallel sides? Looking at the image — the left and right sides are not parallel, top and bottom — maybe the top and bottom are slightly slanted differently... Actually, in many such quizzes, this shape is intended to be a trapezoid — with one pair of parallel sides (usually the top and bottom).

Assuming that’s the case — then yes, it’s a trapezoid.

So for Shape D: Only #20 = Y, others = N.

*(If you’re unsure, count: how many pairs of parallel sides? If only one → trapezoid.)*

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Shape E:
This is a diamond shape — rotated square? Let’s see:

All sides look equal → so it could be a rhombus.

Angles? Not 90° — so not a square or rectangle.

But since all sides equal → it’s a rhombus.

Also, opposite sides are parallel → so it’s also a parallelogram.

Is it a trapezoid? No — because it has two pairs of parallel sides.

So:

21. Square? → No (angles not 90°)
22. Rectangle? → No (no right angles)
23. Rhombus? → YES (all sides equal)
24. Parallelogram? → YES (two pairs of parallel sides)
25. Trapezoid? → NO (has two pairs)

So for Shape E: #23 and #24 = Y; others = N.

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Now let’s write down the answers clearly:

A:
1. N
2. N
3. N
4. Y
5. N

B:
6. N
7. N
8. N
9. Y
10. N

C:
11. Y
12. Y
13. Y
14. Y
15. N

D:
16. N
17. N
18. N
19. N
20. Y

E:
21. N
22. N
23. Y
24. Y
25. N

Final Answer:
A: 4=Y, others=N
B: 9=Y, others=N
C: 11,12,13,14=Y; 15=N
D: 20=Y, others=N
E: 23,24=Y; others=N