4th Grade Math Questions On 2D Shapes! Trivia Quiz

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| By JJ Patterson
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  • 1/16 Questions

    What is the measurement of a right angle?

    • 30 degrees
    • 45 degrees
    • 90 degrees
    • 180 degrees
    • 360 degrees
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About This Quiz

This trivia quiz is made up of 4th-grade math questions on shapes and mensuration. There are a lot of people who get confused when it comes to solving math problems that involve different shapes and sizes, and if you are among them, worry not, as the quiz below will help refresh your memory on the basics. How about you give it a try and see how well you will do? Good luck!

4th Grade Math Questions On 2D Shapes! Trivia Quiz - Quiz

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  • 2. 

    Which of the following is a seven-sided polygon?

    • Triangle

    • Heptagon

    • Hexagon

    • Octagon

    • Acute Triangle

    Correct Answer
    A. Heptagon
    Explanation
    A seven-sided polygon is called a heptagon.

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  • 3. 

    A shape that has one right angle.

    • Acute triangle

    • Obtuse triangle

    • Equilateral triangle

    • Right triangle

    Correct Answer
    A. Right triangle
    Explanation
    A right triangle is a shape that has one right angle, which means that one of its angles measures exactly 90 degrees. In a right triangle, the other two angles are acute, meaning they are less than 90 degrees. This distinguishes a right triangle from an acute triangle, which has all angles less than 90 degrees, and an obtuse triangle, which has one angle greater than 90 degrees. An equilateral triangle, on the other hand, has all three angles equal to 60 degrees and does not have a right angle. Therefore, the correct answer is right triangle.

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  • 4. 

    Which of the following angle measurements is NOT an obtuse angle?

    • 100 degrees

    • 180 degrees

    • 45 degrees

    • 95 degrees

    • 360 degrees

    Correct Answer
    A. 45 degrees
    Explanation
    An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. 45 degrees is not an obtuse angle because it measures less than 90 degrees.

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  • 5. 

    The sum of the four angles in a quadrilateral is ______________.

    Correct Answer
    360
    Explanation
    The sum of the four angles in a quadrilateral is always 360 degrees. This is because a quadrilateral has four sides and four angles, and the sum of the interior angles of any polygon is always equal to 180 degrees multiplied by the number of sides minus 2. In the case of a quadrilateral, this formula gives us 180 degrees multiplied by 4 minus 2, which simplifies to 360 degrees. Therefore, the sum of the four angles in a quadrilateral is always 360 degrees.

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  • 6. 

    A shape that has four congruent sides and four right angles.

    • Square

    • Rectangle

    • Rhombus

    • Trapezoid

    Correct Answer
    A. Square
    Explanation
    A square is a shape that has four congruent sides and four right angles. This means that all sides of the square are equal in length and all angles are 90 degrees. A rectangle also has four right angles, but its sides are not necessarily congruent. A rhombus has four congruent sides, but its angles are not necessarily right angles. A trapezoid has only one pair of parallel sides, so it does not meet the criteria of having four congruent sides and four right angles. Therefore, the correct answer is square.

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  • 7. 

    A shape that contains only one pair of parallel sides.

    • Rhombus

    • Trapezoid

    • Square

    • Triangle

    Correct Answer
    A. Trapezoid
    Explanation
    A trapezoid is a shape that contains only one pair of parallel sides. This means that two sides of the trapezoid are parallel to each other, while the other two sides are not. In contrast, a rhombus has all four sides equal in length, a square has all four sides equal in length and all four angles equal, and a triangle has no parallel sides. Therefore, the correct answer is trapezoid.

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  • 8. 

    All rectangles are squares.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The statement "All rectangles are squares" is false. While all squares are rectangles, not all rectangles are squares. Rectangles have four sides with opposite sides being equal in length, but the opposite sides of squares are equal in length and all angles are right angles. Therefore, there are rectangles that are not squares.

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  • 9. 

    The sum of the angles in a triangle is ___________.

    Correct Answer
    180
    Explanation
    The sum of the angles in a triangle is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. The three angles in any triangle, regardless of its size or shape, will always add up to 180 degrees. This can be proven using various geometric theorems and principles, such as the angle sum property of a straight line or the exterior angle theorem. Therefore, the correct answer is 180.

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  • 10. 

    All quadrilaterals have one pair of parallel sides.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    This statement is false. Not all quadrilaterals have one pair of parallel sides. For example, a square has two pairs of parallel sides, while a rhombus has no pairs of parallel sides. Therefore, the statement is incorrect.

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  • 11. 

    Which of the following is a polygon whose sides are all the same length and whose angles are all the same?

    • Triangle

    • Heptagon

    • Acute Triangle

    • Regular Polygon

    • Octagon

    Correct Answer
    A. Regular Polygon
    Explanation
    A regular polygon is a polygon whose sides are all the same length and whose angles are all the same. This means that all the sides of a regular polygon are equal in length and all the angles are equal. Therefore, a regular polygon fits the description given in the question.

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  • 12. 

    All squares are rectangles.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    A rectangle is a four-sided shape (quadrilateral) where:
    All angles are 90 degrees (right angles)
    Opposite sides are parallel and equal in length
    Squares: A square is a special type of rectangle where:
    All angles are 90 degrees (right angles)
    Opposite sides are parallel
    All sides are equal in length
    Since a square meets all the requirements of a rectangle (and adds one extra rule), all squares are rectangles.

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  • 13. 

    Each angle in an equilateral triangles measures _____________.

    Correct Answer
    60
    Explanation
    Each angle in an equilateral triangle measures 60 degrees. This is because an equilateral triangle has three equal sides, and the sum of the angles in any triangle is always 180 degrees. Therefore, each angle in an equilateral triangle must be 180 degrees divided by 3, which equals 60 degrees.

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  • 14. 

    A triangle with only two sides equal is called an ________________.

    Correct Answer
    isosceles
    Explanation
    An isosceles triangle is a triangle that has two sides of equal length. In this case, the question is asking for the term used to describe a triangle with only two sides equal, which is an isosceles triangle.

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  • 15. 

    A shape that has four equal sides and opposite angles equal.

    • Square

    • Rhombus

    • Neither a nor b

    • Neither a or b

    Correct Answer
    A. Neither a nor b
    Explanation
    The shape described in the question has four equal sides and opposite angles equal. A square fits this description as it has four equal sides and all of its angles are right angles. A rhombus also fits this description as it has four equal sides, but its opposite angles are not necessarily right angles. Therefore, the correct answer is "Neither a nor b" as both a square and a rhombus can be shapes with four equal sides and opposite angles equal.

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  • 16. 

    A triangles with all three sides equal is called _____________.

    Correct Answer
    equilateral
    Explanation
    An equilateral triangle is a triangle in which all three sides are equal in length.

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  • Current Version
  • Apr 03, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 31, 2012
    Quiz Created by
    JJ Patterson
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