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1.4 Sketching Intersections
Goal: Sketch simple figures and their intersections.
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Activity Where do AB and CD meet? Where do AB and EF meet?
When the cards are together, where to CD and EF meet? Where to planes M and N meet? Are CD and EF coplanar? Explain.
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Activity Where do EF and UV meet? Where do planes M and P meet?
Do planes N and P meet?
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Key Words Intersect Intersection
Figures intersect if they have any points in common. Intersection The point or points that the figures have in common.
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Intersection of Two Lines
Postulate 3 Intersection of Two Lines If two lines intersect, then their intersection is a point.
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Intersection of Two Planes
Postulate 4 Intersection of Two Planes If two planes intersect, then their intersection is a line.
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Name Intersections of Lines
Use the diagram to do the following: Name the intersection of PS and QR. Name the intersection of TV and QU. Name the intersection of PS and UV. Point R Point U They do not intersect
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Name Intersections of Planes
Use the diagram to do the following: Name the intersection of planes X and Y. Name the intersection of planes Y and Z. Name the intersection of planes Z and X. Line p Line q They do not intersect
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Sketch Intersections of Lines and Planes
Sketch a plane. Then sketch the following: A line that is the plane A line that does not intersect the plane A line that intersects the plane at a point
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Sketch Intersections of Planes
Sketch two planes that intersect at a line.
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Homework 1.4 pgs 10-32 ALL
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