Podcast
Questions and Answers
Which axis represents the height of an object in 3D shapes?
Which axis represents the height of an object in 3D shapes?
How many line segments connect to form a Pentagon?
How many line segments connect to form a Pentagon?
Which of the following shapes is considered irregular or asymmetrical?
Which of the following shapes is considered irregular or asymmetrical?
Which shape is an example of a 3D shape in solid geometry?
Which shape is an example of a 3D shape in solid geometry?
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Which polygon has three sides and the sum of its internal angles equal to 180 degrees?
Which polygon has three sides and the sum of its internal angles equal to 180 degrees?
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What is the definition of a circle?
What is the definition of a circle?
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Which 3D shape has 6 faces, 8 vertices, and 12 edges?
Which 3D shape has 6 faces, 8 vertices, and 12 edges?
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What defines a square as a quadrilateral?
What defines a square as a quadrilateral?
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Which polygon has 4 sides and angles at all vertices equal to 90 degrees?
Which polygon has 4 sides and angles at all vertices equal to 90 degrees?
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What is the shape made up of vertices, lines connecting them, and surfaces enclosed by these lines?
What is the shape made up of vertices, lines connecting them, and surfaces enclosed by these lines?
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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
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Description
Learn about the differences between 2D and 3D figures and shapes, as well as how to draw them using line segments and curves. Explore examples like triangles and pentagons to understand the concepts better.
