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Parallel Lines
Lines that are the same distance apart indefinitely, and even when extended, they will never intersect.
Trapezoid
A quadrilateral with exactly one pair of parallel sides.
Parrallelogram
A quadrilateral with 2 pairs of parallel, congruent sides.
Square
A rectangle with 2 pairs of congruent sides
Rectangle
A rhombus with 4 right angles
Rhombus
A quadrilateral with 4 congruent sides.
Kite
A quadrilateral with 2 pairs of congruent, adajcent sides
POC for Angle Bisectors
Incenter
POC for a median
Centroid
POC for a Perpendicular Bisector
Circumcenter
POC of a Altitude
Orthocenter
Isosceles Triangle
A triangle with at least 2 congruent sides
What is unique about the constructions for an Isosceles Triangle?
The angle bisector is also the perpendicular bisector, altitude, and median. One construction is the same for another.
Linear pair of angles
Two adajcent angles formed by intersecting lines that are supplementary
AIA conjecture
If two parrallel lines are cut by a transversal, then the AIA are congruent
SSIA Conjecure
If two parallel lines are cut by a transversal, then the SSIA are supplementary.
CA Conjecture
If two parallel lines are cut by a transversal, then the CA are congruent
CA converse
If CA are congruent, then the lines they lie on are parallel
SSIA converse
If SSIA are supplementary, then the lines they lie on are parallel.
AIA converse
If AIA angles are congruent, then the lines they lie on are parallel.
Overlapping segments Conjecture
If a line segemtn has points A,B,C,D, and line segment AB is congruent to line segment CD, then line segment AC is congruent to line segment BD