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Geometry honors Ch 1
Geometry Ch 1
Question | Answer |
---|---|
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 |
all radii are | congruent |
slide | moving a figure without changing its position |
scalene triangle | triangle with no congruent sides |
Isos. Triangle | Triangle with at least 2 congruent sides |
HL Postulate | If the Hypotenuse and the leg of one triangle are congruent to the hypotenuse and corrosponding leg of another triangle, the triangles are congruent. |