Welcome to the Grade 4 Geometrical Figures Quiz - a fun geometry challenge that turns learning about shapes into an exciting adventure! Designed for curious fourth graders, this Basic Geometry Quiz helps you master circles, squares, triangles and more while preparing for a Grade 4 Geometry Test. Tackle engaging Geometry Questions for 4th Grade to identify shapes by sides and angles and boost your confidence with instant feedback. Perfect for students who love puzzles, teachers planning fun lessons, and parents seeking interactive study tools. Looking for extra practice? Try our geometric shapes quiz and sharpen your skills with our quick quadrilateral quiz . Click "Start Quiz" now and unleash your geometry genius!
How many sides does a triangle have?
3
4
5
6
A triangle is defined as a three-sided polygon, which means it has exactly three sides. Each of these sides meets at a point called a vertex. This is one of the simplest polygon shapes and forms the basis of many geometric principles. For more details, see Triangle Definition.
How many sides does a square have?
3
4
5
6
A square is a four-sided polygon with all sides equal in length. Each interior angle of a square is a right angle. This makes the square a special type of rectangle as well. Learn more at Square Definition.
Which shape has all sides equal and all angles equal?
Square
Rectangle
Circle
Triangle
A square is a quadrilateral with all four sides equal in length and all four angles equal to 90 degrees. This combination of equal sides and equal angles makes it unique among polygons. Rectangles have equal angles but opposite sides equal, and equilateral triangles have equal sides but angles of 60 degrees. For more, visit Square Definition.
How many vertices does a circle have?
0
1
2
3
A circle is a curved shape and does not have any corners or vertices. Vertices are points where straight sides meet. Since a circle has no straight sides, it has zero vertices. Read more at Circle Definition.
What shape is drawn by all points that are the same distance from a center point?
Circle
Square
Triangle
Rectangle
By definition, a circle is the set of all points in a plane at a fixed distance from a center point. That fixed distance is called the radius. This property distinguishes circles from other shapes. For a deeper explanation, see Circle Definition.
How many right angles are in a square?
2
3
4
5
All four angles in a square are right angles of 90 degrees each. Since there are four corners, the square has four right angles. A right angle is an angle that measures exactly 90 degrees. More about right angles at Right Angle.
A triangle with all sides equal is called what?
Equilateral triangle
Isosceles triangle
Scalene triangle
Right triangle
An equilateral triangle has three sides of equal length. It also has three equal angles, each measuring 60 degrees. The term 'equilateral' literally means 'equal sides.' Read more at Triangle Definition.
What is the name of a quadrilateral with exactly one pair of parallel sides?
Parallelogram
Trapezoid
Kite
Rhombus
A trapezoid (or trapezium in British English) is defined as a quadrilateral with exactly one pair of parallel sides. Other quadrilaterals may have two parallel pairs or no parallel sides. This unique property distinguishes it from rectangles and parallelograms. More on trapezoids at Trapezoid Definition.
What is the sum of the interior angles in a triangle?
90°
180°
360°
270°
The angles inside a triangle always add up to 180 degrees. This is a fundamental rule in Euclidean geometry. It applies to all triangles, regardless of their shape. Learn more at Triangle Angles.
Which of these shapes is not a polygon?
Circle
Triangle
Square
Rectangle
A polygon is a closed figure with straight sides. A circle has a curved edge and does not consist of straight-line segments, so it is not a polygon. Triangles, squares, and rectangles are all polygons because they have straight sides. More about polygons at Polygon Definition.
How many lines of symmetry does a rectangle have?
1
2
4
0
A rectangle has two lines of symmetry: one vertical and one horizontal. These lines divide the rectangle into mirrored halves. Unlike a square, it does not have diagonal lines of symmetry. See Rectangle Symmetry for details.
A regular pentagon has how many sides?
4
5
6
7
A pentagon is a five-sided polygon by definition. A regular pentagon has all sides and angles equal. Counting the sides clearly gives five. Read more at Pentagon Definition.
If one angle of a right triangle is 90°, what do the other two angles add up to?
45°
90°
180°
270°
In a right triangle, one angle is 90 degrees, and the sum of the three angles must be 180 degrees. Therefore, the remaining two angles add up to 90 degrees (180 ? 90 = 90). This relationship holds for any right triangle. You can see this at Triangle Angle Sum.
Which shape has six faces, all of which are squares?
Cube
Rectangular prism
Pyramid
Tetrahedron
A cube is a 3D shape with six faces, and each face is a square. This means all faces are congruent squares. Other shapes like rectangular prisms have rectangular faces, not all squares. More about cubes at Cube Properties.
How many diagonals does a square have?
1
2
4
6
A square has exactly two diagonals, each connecting opposite vertices. These lines intersect at the square's center and are of equal length. Diagonals in polygons are line segments connecting non-adjacent vertices. Read more at Polygon Diagonals.
In a regular hexagon, how many lines of symmetry are there?
3
6
9
12
A regular hexagon has six equal sides and six angles, and it also has six lines of symmetry. Each line passes through a vertex and the midpoint of the opposite side or connects opposite vertices. Symmetry lines reflect the shape onto itself. See Polygon Symmetry for more.
A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. What type of triangle is it?
Right triangle
Isosceles triangle
Equilateral triangle
Obtuse triangle
A triangle with sides 3 cm, 4 cm, and 5 cm satisfies the Pythagorean theorem (3^2 + 4^2 = 5^2), making it a right triangle. The right angle is between the sides of lengths 3 cm and 4 cm. This particular set of lengths is known as a Pythagorean triple. More at Right Triangle.
What is the name of a 3D shape with a base that is a triangle and three triangular faces?
Triangular prism
Triangular pyramid
Cube
Cylinder
A triangular pyramid (also called a tetrahedron) has one triangular base and three triangular faces that meet at a point. It is a type of polyhedron with four faces in total. The triangular pyramid is the simplest 3D shape made entirely of triangles. More details at Triangular Pyramid.
Which of these shapes is both a parallelogram and a rhombus?
Rhombus
Rectangle
Square
Parallelogram
A square has all the properties of a rectangle (opposite sides parallel and equal, four right angles) and a rhombus (all sides equal). The square is the only shape that is both a rectangle and a rhombus. This dual classification makes it unique among quadrilaterals. Learn more at Square Properties.
What is the measure of each interior angle of a regular octagon?
108°
120°
135°
150°
Each interior angle of a regular octagon can be calculated by the formula (n?2)×180/n, where n is the number of sides. For an octagon, this is (8?2)×180/8 = 135 degrees. All interior angles in a regular octagon are equal. For more on interior angles, see Polygon Interior Angles.
How many edges does a cube have?
6
8
12
16
A cube has 12 edges in total, with each of its 6 square faces contributing 4 edges and each edge shared by 2 faces. Counting shared edges correctly gives 12 unique edges. This is characteristic of all cubes. More at Cube Edges.
What is the measure of each interior angle in a regular decagon?
126°
144°
156°
168°
Each interior angle of a regular decagon (10 sides) can be found using (n?2)×180/n = (10?2)×180/10 = 144 degrees. All angles in a regular decagon are congruent. This formula applies to any regular polygon. See Regular Polygon Angles.
What is the sum of the exterior angles of any convex polygon?
180°
360°
540°
720°
The sum of the exterior angles of any convex polygon, one at each vertex, is always 360 degrees, regardless of the number of sides. Exterior angles are formed by extending one side of the polygon. This is a fundamental theorem in polygon geometry. Read more at Exterior Angle Theorem.
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Study Outcomes
Identify basic geometric figures -
Recognize and name circles, squares, triangles and other common shapes encountered in everyday life.
Classify shapes by properties -
Sort figures based on attributes such as number of sides, length of sides and types of angles.
Differentiate between similar figures -
Distinguish shapes that appear alike by comparing their defining features and measurements.
Describe shape characteristics -
Use proper geometry vocabulary to explain the sides, angles and symmetry of each figure.
Apply geometry concepts in quizzes -
Answer Grade 4 Geometry Test questions accurately by using knowledge of shape properties and relationships.
Strengthen problem-solving skills -
Build confidence in basic geometry through instant feedback and progressively challenging quiz questions.
Cheat Sheet
Key Parts of a Circle -
Everything in a circle revolves around the radius, diameter and circumference. Remember the diameter is twice the radius (d = 2r), and you can calculate the circumference with C = 2πr or C = πd. Practice with r=3 cm to get C≈18.85 cm, and then test it on the Grade 4 Geometrical Figures Quiz for instant results!
Properties of Squares and Rectangles -
Squares and rectangles are special quadrilaterals with four right angles, but squares also have all sides equal. Use area = side² for squares and A = length × width for rectangles, plus perimeter = 4s or P = 2(l + w). Drawing a 5 cm-by-3 cm rectangle and computing A = 15 cm² helps cement the concept - great prep for any basic geometry quiz.
Triangle Types and Area Formula -
Triangles are sorted by sides (equilateral, isosceles, scalene) and angles (acute, right, obtuse). Memorize "A = ½ × base × height" to find each triangle's area, and recognize a 3 - 4 - 5 right triangle for Pythagorean practice. This formula often appears in geometry questions for 4th grade and basic geometry quizzes; try a 3 - 4 - 5 triangle next.
Counting and Naming Polygons -
A polygon's name comes from its sides - "3 for tree," "4 for door," "5 for hive," and so on up to decagon (10 sides). This mnemonic trick from math education research eases memorization and helps in any Geometrical Shapes Quiz. Sketching a hexagon or pentagon reinforces the number of sides and angles in your mind.
Perimeter vs. Area Distinction -
Perimeter measures boundary length, while area measures the surface inside - a key concept in geometry questions for 4th grade. Practice by outlining a shape on grid paper to count its perimeter units, then count squares inside to find the area. This hands-on method, endorsed by K - 12 geometry standards, makes the difference crystal clear and gives you an edge in your Grade 4 Geometry Test.
