1.1: The Coordinate Plane - Points Lines and Planes M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular.

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Presentation transcript:

1.1: The Coordinate Plane - Points Lines and Planes M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope GSE

Quadrants Origin- where the x and y axis meet (0,0) (+,+) (-, +) (-,-)(+,-)

Ex. Graph the points: A ( 2,3) B (-1,2) C( -3, -3) D (0, -2) A B C D

Ex. Find the missing Coordinates A(5,2) B(, ) C ( -3, -4) D ( ) , 2

Ex 2. R ( ) S ( 6, -8 ) P ( ) W ( -4, 7 ) 6, 7 -4, -8

Point 1. Has no dimension (no length, width, thickness) 2. Usually represented by a dot 3. Named using one capital letter B

Line 1.Extends forever in one dimension (length) 2.Has an arrowhead on each end representing the fact that it goes on forever 3.Consists of an infinite amount of points 4.Always straight 5.Named with a lowercase script letter or by 2 points on the line A B l Can be called: Line l Line AB or AB Line BA or BA

Example of a line Name the line AD as many ways possible

Definitions Coplanar points –Coplanar points – Collinear Points – Points that lie on the same line points that lie on the same plane

Plane 1.Extends forever in 2 dimensions (length & width) 2.Usually represented by a 4-sided figure 3.Named with a capital script letter or 3 non- collinear points on the surface of the plane A B C W Can be named: 1)Plane W or 2)Plane ABC, plane BCA, plane CBA, etc.

When 2 planes intersect, their intersection is a … Line Name the intersection of Plane P and Plane R Line AB or BH

When a line intersects a plane, their intersection is a … Point Name the intersection of line m with the plane K

Line Segment (or segment) A section of a line that has 2 endpointsA section of a line that has 2 endpoints Named by its endpoints. AB or BANamed by its endpoints. AB or BA Order doesn’t matter with segmentsOrder doesn’t matter with segments AB

How many line segments make up this graph? Name Them G A B T

Problems to complete