Quadrilaterals are four-sided polygons that have many interesting properties. Solving riddles about quadrilaterals is a fun way to learn and review key concepts like sides, angles, diagonals, symmetry, and more. In this article, we have curated 55 riddles about quadrilaterals along with detailed explanations of the answers. Read on to sharpen your mind and expand your knowledge of these four-sided figures!

## Riddles about Types of Quadrilaterals

### 1. I have four sides of equal length and four right angles. What am I?

Answer: A square. A square has four sides of equal length and four internal angles of 90 degrees (right angles), making it a regular quadrilateral.

### 2. I have four sides with opposite sides parallel and congruent. What am I?

Answer: A parallelogram. A parallelogram has two sets of parallel sides that are congruent (equal in length). Opposite angles are also congruent.

### 3. I have four sides with one pair of parallel sides. What am I?

Answer: A trapezoid. A trapezoid has one pair of parallel sides while the other sides are not parallel.

### 4. I have four sides with no parallel sides. What am I?

Answer: A kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. However, a kite does not have any parallel sides.

### 5. I have four sides with one pair of equal length sides. What am I?

Answer: An isosceles trapezoid. An isosceles trapezoid has one pair of parallel sides and one pair of equal length sides (the non-parallel sides).

## Riddles about Diagonals

### 6. I have two diagonals that bisect each other at right angles. What quadrilateral am I?

Answer: A rhombus. The diagonals of a rhombus bisect each other at right angles. A rhombus is also equilateral with all four sides equal in length.

### 7. I have two diagonals that are congruent in length. What shape am I?

Answer: A rectangle. A rectangle has two diagonals that are congruent or equal in length. A rectangle also has four right angles.

### 8. I have two diagonals that intersect at the midpoint. What am I?

Answer: A parallelogram. In any parallelogram, the diagonals intersect at the midpoint.

### 9. When my diagonals are drawn, they crisscross each other. What am I?

Answer: A kite. In a kite, the diagonals intersect within the kite (crisscross) rather than at a vertex or midpoint.

### 10. I’m a quadrilateral whose diagonals are perpendicular. What am I?

Answer: A rhombus. The diagonals of a rhombus intersect perpendicularly at the center point.

## Riddles about Symmetry

### 11. I have one line of symmetry. What quadrilateral am I?

Answer: An isosceles trapezoid. An isosceles trapezoid has one line of symmetry that passes through both pairs of equal sides.

### 12. I have just one line of symmetry dividing me into two identical halves. What shape am I?

Answer: A kite. A kite has one line of symmetry along its axis of symmetry that divides it into two congruent halves.

### 13. I have two lines of symmetry dividing me into four identical parts. What quadrilateral am I?

Answer: A square. A square has four lines of symmetry – along each side, and diagonally from each opposite vertex.

### 14. I have two lines of symmetry if I am a rhombus. What other shape could I be with two lines of symmetry?

Answer: A rectangle. Rectangles and rhombi both have two lines of symmetry – along the length and width.

### 15. I have no lines of symmetry at all. What quadrilateral am I?

Answer: An irregular quadrilateral. Irregular quadrilaterals have no lines of symmetry.

## Riddles about Angles

### 16. I’m a quadrilateral with two obtuse angles. What shape am I?

Answer: A concave kite. A concave kite has two obtuse angles and two acute angles.

### 17. I have four right angles. What shape am I?

Answer: A rectangle. A rectangle’s four internal angles are all congruent right angles.

### 18. My angles always add up to 360 degrees. What am I?

Answer: Any quadrilateral. The sum of interior angles of a quadrilateral is always 360 degrees.

### 19. I have four congruent angles each measuring 90 degrees. What am I?

Answer: A square. A square has four right angles congruent to 90 degrees.

### 20. I’m scalene with no right angles. What quadrilateral am I?

Answer: A scalene quadrilateral. A scalene quadrilateral has no congruent sides or right angles.

## Riddles about Area and Perimeter

### 21. My perimeter equals the sum of all my sides. What shape am I?

Answer: Any quadrilateral. The perimeter of any polygon equals the sum of the lengths of all its sides.

### 22. My area can be found by multiplying base and height. What am I?

Answer: A parallelogram. To find the area of a parallelogram, multiply the base by the height.

### 23. My area can be found with the formula side2. What am I?

Answer: A square. The area formula for a square is side x side, or side2.

### 24. I’m a quadrilateral whose area equals base x height. What am I?

Answer: A rectangle. The area formula for rectangles is length x width (base x height).

### 25. Double my base and height, and my area will quadruple. What am I?

Answer: Any parallelogram. If you double the base and height of a parallelogram, the area will quadruple.

## Riddles Comparing Shapes

### 26. I’m a quadrilateral with two pairs of parallel sides. What shape am I?

Answer: A parallelogram. A parallelogram has two pairs of parallel sides.

### 27. I have parallel sides like a parallelogram, but all my angles are 90 degrees. What am I?

Answer: A rectangle. Rectangles have two pairs of parallel sides like a parallelogram, but all interior angles are right angles.

### 28. I’m a quadrilateral with perpendicular diagonals, like a rhombus. But I also have right angles. What am I?

Answer: A square. A square has perpendicular diagonals like a rhombus, but also right angles.

### 29. I have two pairs of equal-length sides, like a rhombus. But I also have right angles. What am I?

Answer: A square. A square is like a rhombus but also has right angles.

### 30. I’m scalene with no parallel sides or right angles. What quadrilateral am I?

Answer: A scalene kite. A scalene kite has no congruent sides, parallel sides, or right angles.

## Riddles about Transformations

### 31. Reflect me over the x-axis and I’m exactly the same! What shape am I?

Answer: An isosceles trapezoid. An isosceles trapezoid would look identical even after reflection over the x-axis.

### 32. Reflect me over the y-axis and I’m exactly the same! What shape am I?

Answer: A kite. A kite would remain unchanged after reflection over the vertical y-axis.

### 33. Rotate me 90 degrees clockwise or counterclockwise and I look the same. What am I?

Answer: A square. Rotating a square 90 degrees either way would result in the same square shape.

### 34. Shear me horizontally and I become a parallelogram. What was I originally?

Answer: A rectangle. Shearing a rectangle horizontally turns it into a parallelogram shape.

### 35. Stretch me vertically and I get taller but my angles stay the same. What am I?

Answer: Any quadrilateral. Vertical stretching would make any quadrilateral shape taller but keep the angles unchanged.

## Riddles about Real-World Quadrilaterals

### 36. I’m a quadrilateral you can bounce off the wall. What am I?

Answer: A rhombus. Rhombus-shaped objects like diamond-shaped bouncing balls can bounce off walls.

### 37. I’m a quadrilateral you can fly in the sky. What am I?

Answer: A kite. Kites are quadrilateral shapes that can fly high in the sky.

### 38. I’m a quadrilateral you can eat on. What am I?

Answer: A square or rectangular table. We often eat on square or rectangular-shaped tables.

### 39. I’m a quadrilateral you can bounce a ball on. What am I?

Answer: A rectangular basketball court. Basketball courts are rectangular playing surfaces.

### 40. I’m a quadrilateral with a yellow center line. What am I?

Answer: A road or racetrack. Roads and racetracks have yellow lines down the center.

## Riddles about Parts of Quadrilaterals

### 41. I’m where two sides of a quadrilateral intersect. What am I?

Answer: A vertex. A vertex is the point where two sides of a polygon intersect.

### 42. I’m the side that connects two adjacent vertices. What am I?

Answer: An edge. An edge is a line segment between two adjacent vertices of a polygon.

### 43. I’m the longest side of any quadrilateral. What am I?

Answer: The diagonal. A diagonal connects opposite vertices and is the longest line inside a quadrilateral.

### 44. I’m the four straight sides of any quadrilateral. What am I?

Answer: Perimeter. The perimeter is the total length around a quadrilateral made up of all its side lengths.

### 45. I’m the number of degrees in the interior angles of a quadrilateral. What number am I?

Answer: 360. All quadrilaterals have interior angles adding to 360 degrees.

## Riddles using Patterns

### 46. Square, rectangle, rhombus, parallelogram. I’m missing in the pattern. Who am I?

Answer: Trapezoid. This lists some types of quadrilaterals in alphabetical order, so trapezoid is missing.

### 47. Rectangle, rhombus, trapezoid, ___. I fit in the blanks. What shape am I?

Answer: Square. This lists the quadrilaterals by number of pairs of parallel sides.

### 48. Rectangle, parallelogram, trapezoid, ___. I should come next. What shape am I?

Answer: Kite. This is listing quadrilaterals from most restrictive properties to least.

### 49. Kite, trapezoid, parallelogram, ___. I’m still missing. What shape am I?

Answer: Rhombus. This lists quadrilaterals by number of congruent sides.

### 50. Rhombus, kite, rectangle, ____. I should come last in the pattern. What am I?

Answer: Square. This lists the shapes in order from least to most symmetrical.

## Riddles about Constructing Quadrilaterals

### 51. Connect my two sets of parallel sides to form me. What quadrilateral am I?

Answer: A parallelogram. Parallelograms are formed by connecting two sets of parallel lines.

### 52. Give me four congruent sides and I’ll be a regular quadrilateral. What shape am I?

Answer: A square. A regular quadrilateral with four congruent sides is a square.

### 53. Make my diagonals perpendicular and I’ll be a special type of rhombus. What shape am I?

Answer: A square. The diagonals being perpendicular makes a rhombus into a square.

### 54. Construct me with sticks of equal lengths and connect them with revolving joints. What will I always be?

Answer: A rhombus. Connecting equal length sticks with revolving joints will always make a rhombus shape.

### 55. Give me one pair of parallel sides and I’ll be a quadrilateral. Add one right angle and I’ll be even more special. What shape am I?

Answer: A rectangle. Starting with a trapezoid and adding a right angle makes it a rectangle.

## Conclusion

In this article, we tested your knowledge of quadrilaterals with 55 fun riddles! Solving these puzzles requires understanding key properties like sides, angles, diagonals, symmetry, transformations, and constructions. Quadrilaterals are geometric shapes that have many real-world applications as well. Keeping your mind active with math riddles is a great way to strengthen your deductive reasoning and spatial intelligence. We hope these quadrilateral brain teasers encouraged you to think creatively and flex your mental math muscles!