Undefined Terms v point line and plane v

Undefined Terms v point, line, and plane v collinear v coplanar v intersection of geometric figures

How are Algebra and Geometry related?

Language of Geometry rectangular coordinate plane points lines

State whether each is best modeled by a POINT, LINE, or PLANE. your desktop a piece of cloth tip of a ball pen a star in the sky an ice skating rink

State whether each is best modeled by a POINT, LINE, or PLANE. edge of the table a taut piece of thread corner of the classroom a knot in a piece of thread the crease in a folded sheet of paper

ILLUSTRATION P B n A A B C GEOMETRIC FIGURE DESCRIPTION point A point has no size and no dimension. line A line consists of infinitely many points, extending w/o end in both directions. plane A plane is a flat surface that extends w/o end in all directions. space Definition: Space is the set of all points. SYMBOL P AB or BA or line n plane ABC or plane CBA or plane BAC

GEOMETRIC FIGURE NO. OF DIMENSIONS ØPoint 0 ØLine 1 ØPlane 2 ØSpace 3

List a possible name for each figure: a) I P N K b) B M P K N L m

T How many planes appear in the figure? How many lines appear in the figure? C B M O Y G R A line that contains C A plane that contains R A plane containing O and Y A plane that contains M, O and G A plane that contains E, T and Y E

Which plane(s) does not contain T? T C Which plane(s) does not contain ? G B M O Y R E

TRUE OR FALSE 1) G, E, O lie on the same plane 2) O, E, Y lie on the same line 3) G, T, E lie on the same plane 4) T, Y, G, M lie on G the same plane 5) T, C, O lie on the same line 6) G, R, E lie on the same plane T C B M O Y R E

COLLINEAR POINTS points that lie on the same line Points that do not lie on the same line are called NONCOLLINEAR.

COPLANAR POINTS points that lie on the same plane Points that do not lie on the same plane are called NONCOPLANAR.

Determine if the following sets of points are collinear, coplanar, both collinear and coplanar, or neither. 1. {T, O} T 2. {B, G} 3. {E, G, R} C B 4. {C, O, Y} M O 5. {B, G, T} Y 6. {E, M, R} E G 7. {E, T, Y} R 8. {G, M, R, O} 9. {C, E, R, Y}

INTERSECTION A set of points is the intersection of two figures if and only if the points lie in both figures. A B AB and BC F E C D plane ABC and plane FED

Determine the intersection of the following geometric figures. T GT and OT C TY and RG B M MT and EO MG and ER O Y G plane GRY and plane COE plane MOE and plane TCM R E

A another name for AO another name for plane JMD K L J a line that contains I B N a plane that contains P a plane that contains N and K a plane that contains A, B and C C M O I P H D E F G

a plane that contains E, G and M a plane that does not contain A Determine the intersection of: BC and EF PH and NM A K L J B N C M O I P H D plane POF and plane AOB E F G

A – collinear B – coplanar C – both D - neither A N {J, M} {E, H, N} {D, E, F, I} {B, L, J, K} J B {A, B} {A, F, O} K L C M O I P H D E F G

Drill Board

A – collinear C – collinear and coplanar B – coplanar D – neither A H F B M 1. {A, F, L} N L 2. {C, J, D} 3. {B, M, O} 4. {D, F, O, P} P C E I J O D K

A – collinear C – collinear and coplanar B – coplanar D – neither A H F B M 5. {B, C, D, J} N L 6. {F, L, M, P} 7. {D, E, F, K, P} P C 8. {A, N, E, K, D} E I J O D K

A IDENTIFY: 9. Line that contains H H B N M L P 10. Intersection C of and 11. Plane that contains A and L F E I J O D K

A IDENTIFY: 12. Intersection of plane ABC and plane JDB H F B N M L P C 13. Intersection of and E I J O D K

A IDENTIFY: H 14. A point coplanar with C, I, A F B N M L P C 15. Plane that contains and E I J O D K