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### 12 Cards in this Set

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 foot intersection of a line and a plane determining a plane (4 ways) 3 collinear points determine a plane a line and a point not on the line determine a plane two intersecting lines determine a plane two parallel lines determine a plane intersections with planes (2 postulates) if a line intersects a plane not containing it, then the intersection is exactly one point if two planes intersect, their intersection is exactly one line line perpendicular to plane (defn & thm) a line is perpendicular to a plane if it is perpendicular to every one of the lines in the plan that pass through its foot if a line is perpendicular to two distinct lines that lie in a plane and that pass through its foot, then it is perpendicular to the plane. parallel planes (3 defn, 1 thm) defn: a line and a plane are parallel if they do not intersect. defn: two planes are parallel if they do not intersect defn: two lines are skew if they are not coplanar thm: if a plane intersects two parallel planes, the lines of intersection are parallel properties relating to parallel lines and planes (5 props) if two planes are perpendicular to the same line, they are parallel to each other if a line is perpendicular to one of two parallel planes, it was perpendicular to the other plane as well. if 2 planes are parallel to the same plane, they are parallel to each other. if a plane is perpendicular to one of two parallel lines, it is perpendicular to the other line as well proving a parallelogram (5 ways) definition: both pairs of opposite sides are parallel both pairs of opposite sides are congruent one pair of opposite sides are both parallel and congruent diagonals bisect each other both pairs of opposite angles are congruent proving rectangle (3 ways) at least one right angle diagonals congruent w/o proving parallelogram 1st, if all 4 angles right angles kite (2 ways) defn: 2 disjoint pairs of consec. sides of a quadrilateral are congruent one diagonal is perpendicular bisector of other rhombus (3 ways) pair of consec. sides congruent either diagonal bisects 2 angles of parallelogram w/o parallelogram, if diagonals perpendicular bisectors of each other square (1) both rectangle and rhombus isos. zoid (3) nonparallel sides of zoid congruent lower or upper base angles of zoid congruent diagonals of zoid congruent