Geometry

By the end of this unit, you will be able to:

SCO 1 Determine the surface area of composite 3D objects to solve problems.
1.1  Determine the area of overlap in a given composite 3D object, and explain the effect on determining the surface area (limited to right cylinders, right rectangular prisms, and right triangular prisms).
1.2  Determine the surface area of a given composite 3D object (limited to right cylinders, right rectangular prisms, and right triangular prisms).
1.3  Solve a given problem involving surface area.

SCO 2 Demonstrate an understanding of similarity of polygons.
2.1 
Determine if the polygons in a given presorted set are similar, and explain the reasoning.
2.2  Model and draw a polygon similar to a given polygon, and explain why the two are similar.
2.3  Solve a given problem using the properties of similar polygons.

SCO 3 Draw and interpret scale diagrams of 2D shapes.
3.1  Identify an example of a scale diagram in print and electronic media.
3.2.  Draw a diagram to scale that represents an enlargement or a reduction of a given 2D shape.
3.3  Determine the scale factor for a given diagram drawn to scale.
3.4  Determine if a given diagram is proportional to the original 2D shape, and if it is, state the scale factor.
3.5  Solve a given problem that involves the properties of similar triangles.

SCO 4 Demonstrate an understanding of line and rotation symmetry.
4.1  Classify a given set of 2D shapes or designs according to the number of lines of symmetry.
4.2  Complete a 2D shape or design, given one half of the shape or design and a line of symmetry.
4.3  Determine if a given 2D shape or design has rotation symmetry about the point at its centre, and if it does, state the order and angle of rotation.
4.4  Rotate a given 2D shape about a vertex, and draw the resulting image.
4.5  Identify the type of symmetry that arises from a given transformation on a Cartesian plane.
4.6  Complete, concretely or pictorially, a given transformation of a 2D shape on a Cartesian plane, record the coordinates, and describe the type of symmetry that results.
4.7  Identify and describe the types of symmetry created in a given piece of artwork.
4.8  Determine whether or not two given 2D shapes on a Cartesian plane are related by either rotation or line symmetry.
4.9  Draw, on a Cartesian plane, the translation image of a given shape using a given translation rule such as R2, U3...; label each vertex and its corresponding ordered pair; and describe why the translation does not result in line or rotation symmetry.
4.10  Create or provide a piece of artwork that demonstrates line and rotation symmetry, and identify the line(s) of symmetry and the order and angle of rotation.




Symmetry

Line of Symmetry: A line that can be drawn (called a mirror line), that divides the image into identical reflections.

Plane of Symmetry: A plane that can be drawn that divides 3D images into identical reflections.

Rotational Symmetry: Shape or image can be rotated and it still looks the same, must match itself at least twice.


Practice on Khan Academy