A line is perpendicular to a plane, if and only if, the line

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Presentation transcript:

A line is perpendicular to a plane, if and only if, the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point.

line points one point noncollinear noncollinear lies in the plane line

8 noncollinear

Q V, Y and W line b

Postulate 7 allows me to say the intersection between two lines is a point. Postulate 5: Points X and Y create a line called line a. Postulate 6: Line a contains points X and Y.

coplanar ∠BHD ∠BHD collinear H

between perpendicular

T BD EC T EC plane G

The diagram would change by adding congruence symbols on segments RX and XS and point X would be the midpoint of segment RS. Yes, you can CONCLUDE that BD is the intersection of plane F and plane G because it's the line that's formed when the two planes intersect.