Math 8 Unit 8 Notes Name: ______________

Date: ________________

8. 1- Sketching Views of Objects (pp. 434-440)

To draw the views of an object: • Place the top view above the front view, and the side views beside the front view. This way, matching edges are adjacent. • Use broken lines to show how the views align. • Show internal line segments only where the depth or thickness of the object changes.

When a photo of an object is not available, the object may be drawn on triangular dot paper. This is called isometric paper. Isometric means “equal measure.” The line segments joining 2 adjacent dots in any direction are equal.

8. 2- Drawing Views of Rotated Objects (pp. 441-446)

8. 3- Building Objects From Their Views (pp. 447-454)

8. 4- Identifying Transformations (pp. 456-461)

8. 5- Constructing Tessellations (pp. 462-470) Plane: a flat surface with the property that a line segment joining any two points lies completely on its surface

For a polygon or a composite polygon to tessellate, the sum of the angle measures where vertices meet must be 360°. The only regular polygons that tessellate are triangles, squares, and hexagons. composite shape: the result of combining one or more shapes to make a new shape

8. 6- Identifying Transformations in Tessellations (pp. 471-479)

Under each transformation, the area of the shape does not change. This is known as conservation of area