SECTION 1.4 SKETCHING INTERSECTIONS
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Transcript of SECTION 1.4 SKETCHING INTERSECTIONS
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SECTION 1.4SECTION 1.4SKETCHING INTERSECTIONSSKETCHING INTERSECTIONS
LEARNING TARGETS:1.Students will be able to sketch simple figures and their intersections.
VOCBAULARY1. Intersection
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Activity 1.4 – Exploring Intersections Question:
When planes meet, what points do they intersect?
Materials: Three index cards Scissors Pencil
Page 21 in Textbook
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Step 1:
Label two index cards as shown. Cut each card along the dotted line.
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Step 2:
Slide two cards together. Answer Exercises #1-4.
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Step 3:
Label and cut a third card as shown. Cut another slot in plan M and slide the cards together.
Answer Exercises #5-7.
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What does an Intersection Look Like?
The photograph shows the intersection of two streets in Seattle. The intersection is the part where the two streets cross each other.
In geometry, figures intersect if they have any points in common.
The intersection of two or more figures is the point or points that the figures have in common.
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Postulate 3: Intersection of Two Lines
If two lines intersect, then their
intersection is a point.
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Postulate 4: Intersection of Two Planes
If two planes intersect, then their intersection is a
line.
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Quick Thought:
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Example 1: (Textbook)
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EXAMPLE: (In Notes)
Name the intersection of FJ and KM Name the intersection of NH and KM Name the intersection of NP and FJ
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Example 2: (Textbook)
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Example: (In Notes)
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Sketch Intersections of Lines and Planes
Sketch a line that does not intersect with a plane.
SOLUTION:
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Sketch a plane and a line that is in the plane.
SOLUTION:
Sketch Intersections of Lines and Planes
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Sketch a plane and a line that intersects the plane at one point.
SOLUTION:
Sketch Intersections of Lines and Planes
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Sketch 2 planes that intersect in a line. SOLUTION:
Sketch Intersections of Lines and Planes
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Daily Puzzler
How many distinct (different) planes can intersect at a single line m?
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HOMEWORKSection 1.4 AssignmentPage 25 #8-20 EVEN, 22-32 ALL, 34–54 EVEN
Due Tuesday, 10/04