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

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.

A seven-sided polygon is called a heptagon.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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