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10th grade Geometry
| Question | Answer |
|---|---|
| point | specific location |
| line | goes on forever in both directions and has at least 2 points |
| plane | 2 dimensions |
| collinear points | points on the same line |
| coplanar points | points on the same plane |
| line segment | part of a line with 2 endpoints |
| endpoints | points at the end of a segment or start of a ray |
| ray | goes on forever in 1 direction |
| opposite rays | 2 rays that share the same endpoint and go in opposite directions |
| intersection | the place where 2 things meet |
| postulate/axium | a rule that is accepted without proof |
| theorem | a rule that can be proved |
| midpoint | a point in the middle of a segment |
| segment bisector | a line/ray that divides a segment into 2 congruent parts |
| angle | 2 rays with a common endpoint |
| vertex | a common endpoint in an angle |
| acute angle | an angle that measures less than 90 degrees |
| right angle | an angle that measures exactly 90 degrees |
| obtuse angle | an angle that measures between 90 and 180 degrees |
| straight angle | an angle that measures exactly 180 degrees |
| angle bisector | a ray that divides an angle into 2 congruent angles |
| complementary angles | 2 angles that add to 90 degrees |
| supplementary angles | 2 angles that add to 180 degrees |
| adjacent angles | 2 angles that share a common side |
| linear pair | 2 adjacent angles that add to 180 degrees |
| vertical angles | angles opposite from each other that are congruent |
| polygon | a closed plane figure with 3 or more side and separate vertices |
| convex | does not cave in |
| concave | caves in |
| equilateral polygon | a polygon with a congruent sides |
| equilangular polygon | a polygon with all interior angles congruent |
| regular polygon | both equilateral and equilangular |
| conjecture | something unproven based on observations |
| inductive reasoning | conjectures based on patterns and observations |
| counter example | proves a conjecture wrong |
| conditional statement | an if, then statement |
| hypothesis | the "if" part of a conditional statement |
| conclusion | the "then" part of a conditional statement |
| negation | the opposite of the original statement |
| inverse | if not p then not q |
| deductive reasoning | conjectures based on facts, definitions, properties, and laws of logic |
| law of sylogism | if p, then q. If q, then r. If p, then r. |
| parallel lines | 2 coplanar lines that never intersect |
| perpendicular | 2 lines that cross at 90 degree angle |
| transversal | a line that intersects 2 or more lines at different points |
| consecutive interior | inside the 2 lines on the same side |
| converse | switches the hypothesis and conclusion: if q then p |
| biconditional | uses the phrase "if and only if" |
| contrapositive | if not q then not p |
| law of detachment | gives you a true statement and an additional statement to form a conclusion |
| skew lines | 2 non-coplanar lines that never intersect |
| corresponding | angles in the same position on different lines. The angles are congruent. |
| alternate interior | inside the 2 lines on opposite sides |
| alternate exterior | outside the 2 lines on opposite sides |
Created by:
tcox2
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