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| midpoint formulas |
a+b/2
(number line)
x1+x2/2, y1+y2/2
(coordinate plane) |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| vertex angles |
two nonadjacent angles formed by two intersecting lines |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| vertex of an angle |
The common endpoint of the two rays that form the angle |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| theorem |
a statement, usually of a general nature, that can be proved by appeal to postulates, definitions, algebraic properties, and rules of logic |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| supplementary angles |
Two angles whose measure have a sum of 180 |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| straight angle |
a figure formed by two opposite rays |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| space |
A boundless three-dimensional set of all points |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| segment bisector |
a segment, line, or plane that intersects a segment at its midpoint |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| Segment |
a part of a line that consists of two points, called endpoints, and all the points between them |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| Ruler Postulate |
The points on any line can be paired with real numbers so that, given any two points P and Q on a line, P corresponds to zero, and Q corresponds to a positive number |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| right angle |
An angle whose degree measure is 90 |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| ray |
PQ is a ray if it is the set of points consisting of PQ and all points S for which Q is between P and S |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| Pythagorean Theorem |
In a right triangle, the sum of the squares of the measures of the legs equals the sum of the square of the measure of the hypotenuse |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| Protractor Postulate |
There can only be one 55 degree angle on either side of a given ray |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| proof |
a logical argument showing that the truth of a hypothesis guarantees the truth of a conclusion |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| postulate |
accepted statement of fact |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| point |
no size |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| plane |
flat surfaces that extend indefinitely in all directions |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| perpendicular lines |
Two lines that intersect to form a right angle |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| perimeter |
distance around a figure
P = 2L+2W |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| paragraph proof |
A proof written in the paragraph form, as opposed to a two-column proof) |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| opposite rays |
two rays BA and BC such that B is between A and C |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| obtuse angle |
and angle with a degree measure greater then 90 and less than 180 |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| noncollinear |
Not on the same line |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| midpoint |
a point M is the midpoint of segment PQ if M is between P and Q, and PM = MQ |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| measure |
the length of AB is the distance between A and B |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| linear pair |
a pair of adjacent angles whose non-common sides are opposite rays |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| line |
No thickness or width.
ALWAYS STRAIGHT!!!!!!!!!!!
(an unbroken infinite series of points parallel to itself) |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| intersection |
The intersection of two figures is the set of points that are in both figures |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| interior of an angle |
A point on the interior of an angle if it does no lie on the angle itself and it lies on a segment whose endpoints are on the sides of an angle |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| informal proof |
paragraph proof |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| exterior of an angle |
For a given angle, a point that is neither on the angle or in the interior of the angle |
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leafpool888 Fri, 23 Jan 2009 00:03:06 GMT |
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| degree |
a unit of measure used in measuring angles and arcs of circles. An arc of a circle with a measure of 1 degree is 1/360 of the entire circle |
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leafpool888 Fri, 23 Jan 2009 00:03:05 GMT |
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| coplanar |
on the same plane |
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leafpool888 Fri, 23 Jan 2009 00:03:05 GMT |
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| congruent |
angles- angles that have the same measure
segments- segments that have the same length
triangles- triangles that have their corresponding parts congruent |
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leafpool888 Fri, 23 Jan 2009 00:03:05 GMT |
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| complementary angles |
two angles whose degree measures have a sum of 90 |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| collinear points |
points that lie on the same line |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| between |
In general, B is between A and C iff A, B, and C are collinear and AB+BC=AC |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| area |
the number of square units contained in the interior of a figure |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| angle bisector |
The ray, QS, is the bisector of angle PQR if S is in the interior of the angle and angle PQS is congruent to angle RQS |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| angle |
a figure consisting of two noncollinear rays with a common endpoint. The rays are the sides of the angle. An angle separates a plane into three parts; the interior of the angle, the exterior of the angle, and the angle itself. |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| adjacent angles |
two angles in the same plane that have a common vertex and a common side but no common interior points |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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| acute angle |
an angle whose degree measure is less than 90 |
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leafpool888 Thu, 22 Jan 2009 23:00:15 GMT |
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