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Quadrilaterals Trivia Quiz

In geometry, quadrilaterals are four-sided polygons (also called tetragons). There are many types which are defined by one or several characteristics. Drag the term to its list of defining characteristics. (American English terms are used, not British.)

A matching quiz by TonyTheDad. Estimated time: 3 mins.

Author
TonyTheDad

Time
3 mins

Type
Match Quiz

Quiz #
419,690

Updated
Apr 27 25

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
20

Last 3 plays: OddballJunior (6/10), WesleyCrusher (6/10), Ranund01 (7/10).

(a) Drag-and-drop from the right to the left, or (b) click on a right side answer box and then on a left side box to move it.

Use American English terms, not British English.

Questions		Choices
1. all sides are congruent and opposite angles are congruent		parallelogram
2. one pair of sides is parallel and non-parallel sides are not congruent		isosceles trapezoid
3. two pairs of adjacent sides are congruent and one internal angle is a reflex angle		rectangle
4. opposite sides are congruent and all angles are congruent		kite
5. one pair of parallel sides and non-parallel sides are congruent		right trapezoid
6. all sides are congruent and all angles are congruent		trapezium
7. two pairs of opposite sides are parallel and each side is congruent to its opposite side		rhombus
8. no sides are parallel and no sides are congruent		trapezoid
9. two pairs of adjacent sides are congruent and internal angles are acute, right, and/or obtuse		dart
10. one pair of parallel sides and two adjacent angles are right angles		square

Select each answer

1. all sides are congruent and opposite angles are congruent

2. one pair of sides is parallel and non-parallel sides are not congruent

3. two pairs of adjacent sides are congruent and one internal angle is a reflex angle

4. opposite sides are congruent and all angles are congruent

5. one pair of parallel sides and non-parallel sides are congruent

6. all sides are congruent and all angles are congruent

7. two pairs of opposite sides are parallel and each side is congruent to its opposite side

8. no sides are parallel and no sides are congruent

9. two pairs of adjacent sides are congruent and internal angles are acute, right, and/or obtuse

10. one pair of parallel sides and two adjacent angles are right angles

Most Recent Scores

Today : OddballJunior: 6/10
Today : WesleyCrusher: 6/10
Today : Ranund01: 7/10
Today : MacaroniTree: 3/10
Today : 1nn1: 10/10
Today : DarthHelmet: 4/10
Today : GoodwinPD: 10/10
Today : bernie73: 2/10
Today : cosechero: 6/10

Quiz Answer Key and Fun Facts

1. all sides are congruent and opposite angles are congruent

Answer: rhombus

Rhombuses' diagonals are perpendicular. This trait is inherited from kites, because rhombuses are technically kites.

The area of a rhombus is dependent on its diagonals: A = (d1 * d2)/2. A rhombus is also technically a parallelogram. So the area formula for parallelograms can also be used, base times perpendicular height: A = B * H.

2. one pair of sides is parallel and non-parallel sides are not congruent

Answer: trapezoid

A trapezoid's area is found by taking the average of the two parallel sides -- called bases -- and multiplying by the perpendicular distance between the bases. (A = (B1 + B2) * H / 2.).

The averages of the bases is the same as the width of a rectangle with the same area.

3. two pairs of adjacent sides are congruent and one internal angle is a reflex angle

Answer: dart

A dart's area would need to be figured by cutting it in half along the line of symmetry. Then, there should be enough information to solve one of the triangles. Finally, use either the SAS area or Heron's formulas to find the area of one triangle, then double that to find the area of the original dart.

4. opposite sides are congruent and all angles are congruent

Answer: rectangle

Since the internal angles of a non-crossing quadrilateral add up to 360�, a rectangle's angles are all 90�, or right angles.

The area formula for a rectangle is: width times length (A = W * L).

5. one pair of parallel sides and non-parallel sides are congruent

Answer: isosceles trapezoid

A trapezoid's area is found by taking the average of the two parallel sides -- called bases -- and multiplying by the perpendicular distance between the bases. (A = (B1 + B2) * H / 2.).

The averages of the bases is the same as the width of a rectangle with the same area.

6. all sides are congruent and all angles are congruent

Answer: square

Squares fall into the classification of regular polygons: all sides are congruent and all angles are congruent. Since the internal angles of a non-crossing quadrilateral add up to 360�, a square's angles are all 90�, or right angles.

One area formula for a square is the same as a rectangle's: width times length (A = W * L). But since the sides of a square are congruent, this translates as side to the 2nd power (A = s^2).

Another area formula for a square is the same as a rhombus's / kite's: 1/2 times the product of the diagonals. Since a square's diagonals are congruent, this gives the area as diagonal squared divided by 2 (A = (d^2)/2).

7. two pairs of opposite sides are parallel and each side is congruent to its opposite side

Answer: parallelogram

The area of a parallelogram is similar to a rectangle's: A = B * H, where B is the length of one of the longer sides, and H is the perpendicular distance between those longer sides.

8. no sides are parallel and no sides are congruent

Answer: trapezium

To calculate the area of an trapezium (aka, an irregular quadrilateral), divide it into two triangles along a diagonal, and then sum the areas of the two triangles. You can use formulas like Heron's formula or Side-Angle-Side (SAS) to find the area of each triangle.

9. two pairs of adjacent sides are congruent and internal angles are acute, right, and/or obtuse

Answer: kite

Kites are so called because they resemble the shape of toy kites.

Their diagonals are perpendicular. This trait is inherited by rhombuses and squares, since they are technically kites.

The area of a kite is dependent on its diagonals: A = (d1 * d2)/2.

10. one pair of parallel sides and two adjacent angles are right angles

Answer: right trapezoid

A trapezoid's area is found by taking the average of the two parallel sides -- called bases -- and multiplying by the perpendicular distance between the bases. (A = (B1 + B2) * H / 2.).

With a right trapezoid, the height is easy to determine, because it will be side that is between the two right angles.

Source: Author TonyTheDad

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