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Geometry #1
Geo
Question | Answer |
---|---|
A location that has no size | Point |
An infinite set of points on a straight path that extends in two opposite directions with no end. Has no thickness | Line |
AN infinite set of points and lines on a flat surface that extends without end. Has no thickness | Plane |
A part of a line that consists of one endpoint and all the points on one side of that endpoint | Ray |
A part of a line that consists of two endpoints and all points in between | Segment |
Two rays that share the same endpoint and together form a line | Opposite Rays |
Three or more points on the same line | Collinear |
Formed by two rays with the same endpoint. each ray is a side of the angle and the shared endpoint is the vertex | Angle |
a pint that divides the segment into two congruent segments | Midpoint |
the midpoint __________ the segment | Bisects |
A line, segment or ray that goes through a segment at its midpoint | segment bisector |
a ray that divides an angle into two congruent angles | angle bisector |
will never touch | parallel |
will cross to make right angles | perpendicular |
is a type of reasoning that reaches conclusions based on a pattern of specific examples or past events | Inductive reasoning |
an unproven statement or rule that is based on inductive reasoning | conjecture |
an example that shows a statement or conjecture is false | counterexample |
a if- then statement | conditional |
reverses the hypothesis and the conclusion of a conditional | converse |
of a statement has the opposite meaning of the original statement | negation |
is obtained by negating both the hypothesis and the conclusion of a conditional | inverse |
is obtained by negating and reversing both the hypothesis and the conclusion of a conditional | contrapositive |
the combo of a conditional- the resulting compound statement p if and only if q | biconditional |
share a vertex and a side | Adjacent |
Two angles whose sides are opposite rays | Vertical angles |
Two angles whose measures have the sum of 90 degrees | Complementary angles |
Two angles whose measures have sum of 180 degrees | Supplementary angles |
two supplementary and adjacent angles | Linear pair |
midpoint formula on a number line | a+b/ 2 |
Midpoint formula on a coordinate plane | x2+x1/2, y2+y1/2 |
Distance formula on a number line | I a-b I |
distance formula on a coordinate plane | (x2-x1)^2+ (y2-y1)^2 |
properties of = and = with squiggly | Addition subtraction mult division distributive reflexive symmetric transitive and substitution |
a=a | Reflexive property |
a=b, b=a | Symmetric property |