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Questions and Answers
What is the sum of interior angles in a triangle?
What is the sum of interior angles in a triangle?
180°
What is the name of a quadrilateral with opposite sides equal and all angles right?
What is the name of a quadrilateral with opposite sides equal and all angles right?
Rectangle
What is the name of a triangle with all sides equal?
What is the name of a triangle with all sides equal?
Equilateral triangle
What is the sum of interior angles in a hexagon?
What is the sum of interior angles in a hexagon?
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What is the name of a shape with five sides?
What is the name of a shape with five sides?
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What is the name of a 3D shape with six square faces?
What is the name of a 3D shape with six square faces?
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What is the name of a 3D shape with a curved surface and one face?
What is the name of a 3D shape with a curved surface and one face?
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How many edges does a cube have?
How many edges does a cube have?
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What is the name of a shape with a circular base and a curved surface?
What is the name of a shape with a circular base and a curved surface?
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How many vertices does a cube have?
How many vertices does a cube have?
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What is the minimum number of vertices a polygon can have?
What is the minimum number of vertices a polygon can have?
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What is the name of a triangle with two equal sides?
What is the name of a triangle with two equal sides?
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How many faces does a rectangular prism have?
How many faces does a rectangular prism have?
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What is the name of a shape with four right angles and four sides of equal length?
What is the name of a shape with four right angles and four sides of equal length?
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What is the name of a 3D shape with one circular base and a curved surface?
What is the name of a 3D shape with one circular base and a curved surface?
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Study Notes
2D Shapes
Properties
- Number of sides (e.g., triangle: 3, quadrilateral: 4, pentagon: 5)
- Number of angles (e.g., triangle: 3, quadrilateral: 4)
- Types of angles: acute, obtuse, right, straight, reflex
- Sum of interior angles:
- Triangle: 180°
- Quadrilateral: 360°
- Pentagon: 540°
- Hexagon: 720°
- Symmetry: line of symmetry, rotational symmetry
Types of 2D Shapes
- Triangles:
- Equilateral: all sides equal
- Isosceles: two sides equal
- Scalene: all sides unequal
- Quadrilaterals:
- Rectangle: opposite sides equal, all angles right
- Square: all sides equal, all angles right
- Rhombus: all sides equal, opposite angles equal
- Trapezium: no equal sides, two pairs of opposite angles
- Polygons:
- Pentagon: five sides
- Hexagon: six sides
- Octagon: eight sides
- Circles:
- Center: fixed point
- Radius: distance from center to circle
- Circumference: distance around circle
3D Shapes
Properties
- Number of faces (e.g., cube: 6, sphere: 1)
- Number of edges (e.g., cube: 12, sphere: 0)
- Number of vertices (e.g., cube: 8, sphere: 0)
- Types of angles: dihedral angles (between faces)
Types of 3D Shapes
- Prisms:
- Rectangular prism: rectangular faces
- Triangular prism: triangular faces
- Pyramids:
- Square pyramid: square base
- Triangular pyramid: triangular base
- Polyhedra:
- Cube: six square faces
- Tetrahedron: four triangular faces
- Octahedron: eight triangular faces
- Spheres:
- Surface: curved
- Center: fixed point
- Radius: distance from center to surface
- Cylinders:
- Two parallel and circular bases
- Curved surface connecting bases
- Height: distance between bases
2D Shapes
Properties
- A shape's number of sides and angles are related to its type
- Angles can be acute, obtuse, right, straight, or reflex
- The sum of interior angles varies by shape:
- Triangles: 180°
- Quadrilaterals: 360°
- Pentagons: 540°
- Hexagons: 720°
- Symmetry can be line or rotational
Shape Types
- Triangles:
- Equilateral: all sides equal
- Isosceles: two sides equal
- Scalene: all sides unequal
- Quadrilaterals:
- Rectangle: opposite sides equal, all angles right
- Square: all sides equal, all angles right
- Rhombus: all sides equal, opposite angles equal
- Trapezium: no equal sides, two pairs of opposite angles
- Polygons:
- Pentagon: five sides
- Hexagon: six sides
- Octagon: eight sides
- Circles:
- Center: fixed point
- Radius: distance from center to circle
- Circumference: distance around circle
3D Shapes
Properties
- Shapes have varying numbers of faces, edges, and vertices
- Dihedral angles exist between faces
- Edges connect vertices
Shape Types
- Prisms:
- Rectangular prism: rectangular faces
- Triangular prism: triangular faces
- Pyramids:
- Square pyramid: square base
- Triangular pyramid: triangular base
- Polyhedra:
- Cube: six square faces
- Tetrahedron: four triangular faces
- Octahedron: eight triangular faces
- Spheres:
- Surface: curved
- Center: fixed point
- Radius: distance from center to surface
- Cylinders:
- Two parallel and circular bases
- Curved surface connecting bases
- Height: distance between bases
2D Shapes
Properties
- A 2D shape has a fixed number of sides, angles, and types of angles.
- Types of angles include acute, obtuse, right, straight, and reflex.
- The sum of interior angles in a 2D shape depends on the number of sides:
- Triangle: 3 sides, 3 angles, 180°
- Quadrilateral: 4 sides, 4 angles, 360°
- Pentagon: 5 sides, 5 angles, 540°
- Hexagon: 6 sides, 6 angles, 720°
- A 2D shape can have line symmetry or rotational symmetry.
Types of 2D Shapes
Triangles
- Equilateral triangle: all sides are equal.
- Isosceles triangle: two sides are equal.
- Scalene triangle: all sides are unequal.
Quadrilaterals
- Rectangle: opposite sides are equal, all angles are right.
- Square: all sides are equal, all angles are right.
- Rhombus: all sides are equal, opposite angles are equal.
- Trapezium: no equal sides, two pairs of opposite angles.
Polygons
- Pentagon: a 5-sided polygon.
- Hexagon: a 6-sided polygon.
- Octagon: an 8-sided polygon.
Circles
- A circle has a fixed center point.
- The radius is the distance from the center to the circle.
- The circumference is the distance around the circle.
3D Shapes
Properties
- A 3D shape has a fixed number of faces, edges, and vertices.
- Faces can be rectangular, triangular, or other shapes.
- Edges can be long or short, depending on the shape.
- Vertices can be sharp or blunt, depending on the shape.
- Dihedral angles are the angles between faces.
Types of 3D Shapes
Prisms
- Rectangular prism: a 3D shape with rectangular faces.
- Triangular prism: a 3D shape with triangular faces.
Pyramids
- Square pyramid: a 3D shape with a square base.
- Triangular pyramid: a 3D shape with a triangular base.
Polyhedra
- Cube: a 3D shape with six square faces.
- Tetrahedron: a 3D shape with four triangular faces.
- Octahedron: a 3D shape with eight triangular faces.
Spheres
- A sphere has a curved surface.
- The center is a fixed point.
- The radius is the distance from the center to the surface.
Cylinders
- A cylinder has two parallel and circular bases.
- The curved surface connects the bases.
- The height is the distance between the bases.
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Description
Explore the properties of 2D shapes, including the number of sides, angles, and symmetry. Learn about different types of triangles and other 2D shapes.
