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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. |