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# Geometry honors Ch 1

### Geometry Ch 1

Definition of Degree Unit of measure for angles
Acute angle An angle measuring more than 0 and less than 90 degrees
Right angle An angle measuring 90
Obtuse angle An angle measuring more than 90 but less than 180
Straight angle An angle that is 180
Things you should assume Straight lines and angles Collinearity of points Betweenness of points Relative positions of points
Things you should not assume Right angles Congruent segments Congruet angles Relative sizes of segments & angles
Def of Theorem Mathematical statement that can be proven
Segment bisector a point, segment, or line that deivides a segment into 2 congruent segments
Midpnt Bisection pnt of segment
Deductive Structure a system of thought in which conclusions are justifies by means of previously assumed or proved statements (theorems)
Postulate an unproved assumption
Conditional Statement "If p, Then q"
Converse Switch if and then statements
inverse negate(if not p, then not q)
Contrapositive Negative and switch (if not q, then not p)
If the angles are congruent to the same angle... They are congruent to each other
If angles are congruent to congruent angles... they are congruent to each other
Def Opp. Rays Two rays with a common endpnt. that form a line.
vertical angles are... congruent
Def of median of triangle line segment drawn from any vertex of the triangle to the midpnt of the opposite side.
Def. of Altitude drawn from any vertex of the triangle to the opposite side and its perpendicular to that side.
Auxiliary lines additional lines or segments that dont appear in the original diagram
Two points determine a... line
CPCTC Corrosponding parts of congruent triangles are congruent