4th Grade Math Questions On 2D Shapes! Trivia Quiz
Approved & Edited byProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
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!
Questions and Answers
1.
Which of the following is a seven-sided polygon?
A.
Triangle
B.
Heptagon
C.
Hexagon
D.
Octagon
E.
Acute Triangle
Correct Answer B. Heptagon
Explanation A seven-sided polygon is called a heptagon.
Rate this question:
2.
What is the measurement of a right angle?
A.
30 degrees
B.
45 degrees
C.
90 degrees
D.
180 degrees
E.
360 degrees
Correct Answer C. 90 degrees
Explanation A right angle is a 90-degree angle, formed when two lines intersect and create a square corner. It is the angle that divides a full rotation into two equal parts. The other options, such as 30 degrees, 45 degrees, 180 degrees, and 360 degrees, do not represent a right angle.
Rate this question:
3.
Which of the following angle measurements is NOT an obtuse angle?
A.
100 degrees
B.
180 degrees
C.
45 degrees
D.
95 degrees
E.
360 degrees
Correct Answer C. 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.
Rate this question:
4.
Which of the following is a polygon whose sides are all the same length and whose angles are all the same?
A.
Triangle
B.
Heptagon
C.
Acute Triangle
D.
Regular Polygon
E.
Octagon
Correct Answer D. 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.
Rate this question:
5.
A shape that contains only one pair of parallel sides.
A.
Rhombus
B.
Trapezoid
C.
Square
D.
Triangle
Correct Answer B. 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.
Rate this question:
6.
A shape that has four equal sides and opposite angles equal.
A.
Square
B.
Rhombus
C.
Neither a nor b
D.
Neither a or b
Correct Answer C. 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.
Rate this question:
7.
A shape that has four congruent sides and four right angles.
A.
Square
B.
Rectangle
C.
Rhombus
D.
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.
Rate this question:
8.
A shape that has one right angle.
A.
Acute triangle
B.
Obtuse triangle
C.
Equilateral triangle
D.
Right triangle
Correct Answer D. 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.
Rate this question:
9.
All squares are rectangles.
A.
True
B.
False
Correct Answer A. True
Explanation All squares are rectangles because a square is a special type of rectangle where all four sides are equal in length. A rectangle is defined as a quadrilateral with four right angles, and a square meets this definition. Therefore, all squares can be considered as rectangles, making the statement true.
Rate this question:
10.
All quadrilaterals have one pair of parallel sides.
A.
True
B.
False
Correct Answer B. 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.
Rate this question:
11.
All rectangles are squares.
A.
True
B.
False
Correct Answer B. 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.
Rate this question:
12.
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.
Rate this question:
13.
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.
Rate this question:
14.
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.
Rate this question:
15.
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.
Rate this question:
16.
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.
Rate this question:
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.