2D and 3D Shapes Quiz: Test Your Knowledge of Geometry

Questions and Answers

Which axis represents the height of an object in 3D shapes?

Z axis

How many line segments connect to form a Pentagon?

Which of the following shapes is considered irregular or asymmetrical?

Kite

Which shape is an example of a 3D shape in solid geometry?

Cylinder Signup and view all the answers

Which polygon has three sides and the sum of its internal angles equal to 180 degrees?

Triangle Signup and view all the answers

What is the definition of a circle?

Locus of all points at a fixed distance from a central point Signup and view all the answers

Which 3D shape has 6 faces, 8 vertices, and 12 edges?

Cuboid Signup and view all the answers

What defines a square as a quadrilateral?

All sides and angles are equal Signup and view all the answers

Which polygon has 4 sides and angles at all vertices equal to 90 degrees?

Square Signup and view all the answers

What is the shape made up of vertices, lines connecting them, and surfaces enclosed by these lines?

Polygon Signup and view all the answers

Study Notes

2D figures have two dimensions (X and Y axis) while 3D shapes have three dimensions (X, Y, and Z axis)
To create shapes, begin with a line segment or curve
Triangle: 3 connected line segments, sum of internal angles equals 180 degrees
Circle: locus of points at a fixed distance from a central point
Square: quadrilateral with equal sides and angles (90 degrees)
Rectangle: quadrilateral with 2 pairs of equal sides and right angle interior angles
Parallelogram: quadrilateral with 2 pairs of parallel sides and equal opposite angles
Polygons: enclosed structures made up of line segments, no curves
Regular shapes are symmetrical, e.g., square, circle
Irregular or organic shapes, e.g., tree
2D shapes in plane geometry: circle, square, rectangle, rhombus, etc.
3D shapes in solid geometry: cube, cuboid, cone, cylinder
Triangle: polygon with 3 sides, 3 edges, 3 vertices
Circle: defined by points at a fixed distance from a central point
Square: quadrilateral with equal sides and right angle interior angles
Rectangle: quadrilateral with 2 pairs of equal sides and right angle interior angles
Parallelogram: quadrilateral with 2 pairs of parallel sides and equal opposite angles
Polygons: made up of line segments, no curves
Pentagon: polygon with 5 sides
Hexagon: polygon with 6 sides
Heptagon: polygon with 7 sides
Octagon: polygon with 8 sides
Nonagon: polygon with 9 sides
Decagon: polygon with 10 sides
Cube: 3D shape with 6 faces, 8 vertices, 12 edges, faces are square
Cuboid: 3D solid with 6 faces, 8 vertices, 12 edges, faces are rectangular
Cone: 3D shape with one curved surface, one circular base, one vertex
Cylinder: 3D shape with circular bases and curved sides
Sphere: 3D shape with all points at equal distance from a central point (center)
Cube: 3D solid with 6 square faces, 8 vertices, 12 edges
Cuboid: 3D solid with 6 rectangular faces, 8 vertices, 12 edges