12.1: Representations of Three-Dimension Figures

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Presentation transcript:

12.1: Representations of Three-Dimension Figures Objectives Identify the shapes of two0dimensional cross-sections of three dimensional objects Identify three-dimensional objects generated by rotations of two-dimensional objects

Math Short Video https://www.youtube.com/watch?v=hlD_j3AtxGs

Vocab The intersection of a solid and a plane. Cross Section Types of Slice

Examples Example 1 Example 2 Example 3 Ellipse Rectangle Circle Imagine you were to cut through this figure, if you were to pull it apart what shape would it make? Rectangle Ellipse Circle

You try Describe the shape resulting from a vertical, angled, and horizontal cross section of a square pyramid. Vertical: Angled: Horizontal: Triangle Trapezoid Square

Example 4 A customer ordered a two-layer sheet cake. Determine the shape of each cross section of the cake below. Rectangle

Example 5 Determine the shape of the cross section shown. a) b) Trapezoid Triangle

You Try Describe the shape resulting from each cross section. a) b) c) Do on your own!