Geometry Perspectives

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Presentation transcript:

Geometry Perspectives

Student Expectations 7th Grade: 7.3.8A Sketch a three-dimensional figure when given the top, side, and front views. 8th Grade: 8.3.7A Draw three-dimensional figures from different perspectives.

There are many ways to represent a three dimensional object There are many ways to represent a three dimensional object. An orthographic drawing shows six different views of an object: top, bottom, front, back, left side, and right side.

Example 1: Drawing Orthographic Views of an Object Draw all six orthographic views of the given object. Assume there are no hidden cubes.

Example 1 Continued Draw all six orthographic views of the given object. Assume there are no hidden cubes. Bottom

Example 1 Continued Draw all six orthographic views of the given object. Assume there are no hidden cubes.

Example 1 Continued Draw all six orthographic views of the given object. Assume there are no hidden cubes.

Check It Out! Example 1 Draw all six orthographic views of the given object. Assume there are no hidden cubes.

Check It Out! Example 1 Continued

Isometric drawing is a way to show three sides of a figure from a corner view. You can use isometric dot paper to make an isometric drawing. This paper has diagonal rows of dots that are equally spaced in a repeating triangular pattern.

Example 2: Drawing an Isometric View of an Object Draw an isometric view of the given object. Assume there are no hidden cubes.

Check It Out! Example 2 Draw an isometric view of the given object. Assume there are no hidden cubes.

Example 4A: Relating Different Representations of an Object Determine whether the drawing represents the given object. Assume there are no hidden cubes. No; the base has one cube too many.

Example 4B: Relating Different Representations of an Object Determine whether the drawing represents the given object. Assume there are no hidden cubes. Yes; the drawing is a two-point perspective view of the object.

Example 4C: Relating Different Representations of an Object Determine whether the drawing represents the given object. Assume there are no hidden cubes. Yes; the drawing is an isometric view of the object.

Example 4D: Relating Different Representations of an Object Determine whether the drawing represents the given object. Assume there are no hidden cubes. Yes; the drawing shows the six orthographic views of the object.

Check It Out! Example 4 Determine whether the drawing represents the given object. Assume there are no hidden cubes. no

Lesson Quiz: Part I 1. Draw all six orthographic views of the object. Assume there are no hidden cubes.

Lesson Quiz: Part II 2. Draw an isometric view of the object.

Lesson Quiz: Part III 3. Determine whether each drawing represents the given object. Assume there are no hidden cubes. yes yes no