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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 |