Space Geometry[1] 
1. Use a straightedge to draw: a. right, isosceles triangle b. acute, scalene triangle c. obtuse, isosceles triangle
1. Use a straightedge to draw: a. right, isosceles triangle
1. Use a straightedge to draw: b. acute, scalene triangle
1. Use a straightedge to draw: b. obtuse, isosceles triangle
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
1. Coplanar lines that never cross. 2. A ray that divides an angle into two congruent angles. 3. An equilateral, equiangular seven-sided polygon. 4. Points that lie on the same line. 5. Points that lie on the same plane. 6. Two angles that add to 180º. 7. A polygon with ten sides.
2.8 Space Geometry
Objectives 1. Introduce some basic solids. 2. Be able to sketch the basic solids.
space geometry
•3-D figures
•objects not restricted to flat surfaces
When drawing space objects:
1. solid lines: lines you see 2. dashed lines: lines that would not be visible if object were solid
RECTANGULAR SOLID
face - flat portion of figure
RECTANGULAR SOLID
edge - angled part of figure
Rectangular Solid with Face Closest to Viewer
1. Draw face.
Rectangular Solid with Face Closest to Viewer
1. Draw front face.
Rectangular Solid with Face Closest to Viewer
2. Draw rear face.
Rectangular Solid with Face Closest to Viewer
2. Draw rear face.
Rectangular Solid with Face Closest to Viewer
3. Connect appropriate vertices.
Rectangular Solid with Face Closest to Viewer
3. Connect appropriate vertices.
Rectangular Solid with Face Closest to Viewer
4. Use dashed lines to represent lines not visible.
Rectangular Solid with Face Closest to Viewer
4. Use dashed lines to represent lines not visible.
Rectangular Solid with Face Closest to Viewer
4. Use dashed lines to represent lines not visible.
Rectangular Solid with Edge Closest to Viewer
1. Draw edge closest to viewer.
Rectangular Solid with Edge Closest to Viewer
1. Draw edge closest to viewer.
Rectangular Solid with Edge Closest to Viewer
2. Draw the rest of the edges.
Rectangular Solid with Edge Closest to Viewer
3. Draw rest of lines (hidden parts) with dashed lines.
CYLINDER
1. Draw visible edge (top or bottom).
CYLINDER
1. Draw visible edge (top or bottom).
CYLINDER
2. Draw hidden edge.
CONE
1. Draw visible edge and top of cone.
CONE
2. Connect top & bottom; draw hidden area.
PYRAMID
1. Draw base vertex points. Base is the part of figure that is on bottom.
PYRAMID
PYRAMID
2. Draw top point of pyramid.
PYRAMID
PYRAMID
3. Draw visible edges and hidden edges.
PYRAMID
SPHERE
1. Draw perimeter.
SPHERE
2. Draw front and rear edges.
HEMISPHERE
1. Draw front/rear edges.
HEMISPHERE
2. Draw rest of hemisphere.