Which of the following statements about quadrilateral is not true?

D. quadrilateral is a two-dimensional shape which has 3 sides.

A quadrilateral has 4 sides, 4 angles and 4 vertices.

B. The sum of all the interior angles of a quadrilateral is 360°.

C. A quadrilateral can be classified into Parallelograms, Squares, Rectangles, rhombuses and trapezoids.

Quadrilateral And Its Types Quiz

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Questions: 10 | Attempts: 2,970 | Updated: Mar 22, 2023

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A quadrilateral is a polygon that has exactly four sides. Here is an informative quiz about Quadrilaterals, that will help in the betterment of your geometric understanding. The quiz will help you learn more about all the 4 sided mathematical figures to understand the concepts of maths, trigonometry, and other similar topics properly.

Questions and Answers

1.

All of the following options are a type of quadrilateral except,
- A.
  
  Rhombus
- B.
  
  Square
- C.
  
  Triangle
- D.
  
  Trapezoid
Correct Answer
C. Triangle

Explanation
A triangle is not a type of quadrilateral because a quadrilateral is a polygon with four sides, while a triangle is a polygon with three sides. The other options, rhombus, square, and trapezoid, are all types of quadrilaterals because they have four sides.

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1
2.

Which one of the following are a quadrilateral with 4 equal sides and right angles.
- A.
  
  Trapezoid
- B.
  
  Square
- C.
  
  Rectangle
- D.
  
  Parallelogram
Correct Answer
B. Square

Explanation
A square is a quadrilateral with 4 equal sides and right angles. It is the only option among the given choices that satisfies both conditions. A trapezoid can have different side lengths and angles, a rectangle has 4 right angles but its sides are not necessarily equal, and a parallelogram can have equal sides but its angles are not necessarily right angles. Therefore, the correct answer is square.

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2
0
3.

A quadrilateral with 2 pairs of parallel sides and 4 right angles.
- A.
  
  Trapezoid
- B.
  
  Square
- C.
  
  Rectangle
- D.
  
  Rhombus
Correct Answer
C. Rectangle

Explanation
A rectangle is a quadrilateral with 2 pairs of parallel sides and 4 right angles. It is the only option that satisfies all the given conditions. A trapezoid has only one pair of parallel sides, a square has equal sides but not necessarily parallel sides, and a rhombus has equal sides but not necessarily right angles. Therefore, the correct answer is rectangle.

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1
0
4.

Which of the set of figure shows a group of quadrilateral?
- A.
  
  Option 1
- B.
  
  Option 2
- C.
  
  Option 3
- D.
  
  Option 4
Correct Answer
A. Option 1

Explanation
Option 1 shows a group of four figures, each of which is a quadrilateral. Therefore, Option 1 is the correct answer as it displays a group of quadrilaterals.

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5
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5.

Which of the following statements about quadrilateral is not true?
- A.
  
  A quadrilateral has 4 sides, 4 angles and 4 vertices.
- B.
  
  B. The sum of all the interior angles of a quadrilateral is 360°.
- C.
  
  C. A quadrilateral can be classified into Parallelograms, Squares, Rectangles, rhombuses and trapezoids.
- D.
  
  D. quadrilateral is a two-dimensional shape which has 3 sides.
Correct Answer
D. D. quadrilateral is a two-dimensional shape which has 3 sides.

Explanation
A quadrilateral is a two-dimensional shape that has 4 sides, not 3 sides. Therefore, statement D is not true.

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1
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6.

The interior angles of quadrilaterals add to ___ degrees.

Correct Answer
360

Explanation
The interior angles of a quadrilateral always add up to 360 degrees. This is a property of quadrilaterals and can be proven mathematically. Each angle in a quadrilateral contributes to the total sum of 360 degrees, regardless of the specific shape or size of the quadrilateral. Therefore, the correct answer is 360.

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4 1
7.

A ____ quadrilateral features 2 pairs of adjacent sides that are of equal length (much like a ___ you can fly.)

Correct Answer
Kite

Explanation
A kite is a type of quadrilateral that has two pairs of adjacent sides that are of equal length. This is similar to a kite that you can fly, where the two longer sides and the two shorter sides are equal in length.

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4
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8.

Quadrilaterals with 2 sets of parallel side are called ________?
- A.
  
  Square
- B.
  
  Rectangle
- C.
  
  Rhombus
- D.
  
  Parallelogram
Correct Answer
D. Parallelogram

Explanation
Quadrilaterals with 2 sets of parallel sides are called parallelograms. This means that opposite sides of a parallelogram are parallel to each other. Square, rectangle, and rhombus are also types of quadrilaterals, but they have specific characteristics that differentiate them from parallelograms. A square has all sides equal and all angles equal to 90 degrees. A rectangle has opposite sides equal and all angles equal to 90 degrees. A rhombus has all sides equal, but opposite angles are equal, not necessarily 90 degrees. Therefore, the correct answer is parallelogram.

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3
0
9.

The perimeter of a square is __ times the length of one side.
- A.
  
  4
- B.
  
  8
- C.
  
  2
- D.
  
  16
Correct Answer
A. 4

Explanation
The perimeter of a square is equal to the sum of all its sides. Since a square has four equal sides, the perimeter will be four times the length of one side. Therefore, the correct answer is 4.

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10.

A quadrilateral with 4 right angles is a
- A.
  
  Square
- B.
  
  Rectangle
- C.
  
  All of the above
- D.
  
  None
Correct Answer
C. All of the above

Explanation
A quadrilateral with 4 right angles is a square because a square has all sides equal in length and all angles equal to 90 degrees. Additionally, a quadrilateral with 4 right angles is also a rectangle because a rectangle has opposite sides equal in length and all angles equal to 90 degrees. Therefore, both square and rectangle satisfy the condition of having 4 right angles, so the correct answer is "All of the above".

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