Study Geometry Midterm Chapter I- Vocab Flash Cards

 
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Geometry Midterm Chapter I- Vocab

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midpoint formulas
a+b/2
(number line)

x1+x2/2, y1+y2/2
(coordinate plane)
vertex angles
two nonadjacent angles formed by two intersecting lines
vertex of an angle
The common endpoint of the two rays that form the angle
theorem
a statement, usually of a general nature, that can be proved by appeal to postulates, definitions, algebraic properties, and rules of logic
supplementary angles
Two angles whose measure have a sum of 180
straight angle
a figure formed by two opposite rays
space
A boundless three-dimensional set of all points
segment bisector
a segment, line, or plane that intersects a segment at its midpoint
Segment
a part of a line that consists of two points, called endpoints, and all the points between them
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
right angle
An angle whose degree measure is 90
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
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
Protractor Postulate
There can only be one 55 degree angle on either side of a given ray
proof
a logical argument showing that the truth of a hypothesis guarantees the truth of a conclusion
postulate
accepted statement of fact
point
no size
plane
flat surfaces that extend indefinitely in all directions
perpendicular lines
Two lines that intersect to form a right angle
perimeter
distance around a figure
P = 2L+2W
paragraph proof
A proof written in the paragraph form, as opposed to a two-column proof)
opposite rays
two rays BA and BC such that B is between A and C
obtuse angle
and angle with a degree measure greater then 90 and less than 180
noncollinear
Not on the same line
midpoint
a point M is the midpoint of segment PQ if M is between P and Q, and PM = MQ
measure
the length of AB is the distance between A and B
linear pair
a pair of adjacent angles whose non-common sides are opposite rays
line
No thickness or width.
ALWAYS STRAIGHT!!!!!!!!!!!
(an unbroken infinite series of points parallel to itself)
intersection
The intersection of two figures is the set of points that are in both figures
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
informal proof
paragraph proof
exterior of an angle
For a given angle, a point that is neither on the angle or in the interior of the angle
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
coplanar
on the same plane
congruent
angles- angles that have the same measure
segments- segments that have the same length
triangles- triangles that have their corresponding parts congruent
complementary angles
two angles whose degree measures have a sum of 90
collinear points
points that lie on the same line
between
In general, B is between A and C iff A, B, and C are collinear and AB+BC=AC
area
the number of square units contained in the interior of a figure
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
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.
adjacent angles
two angles in the same plane that have a common vertex and a common side but no common interior points
acute angle
an angle whose degree measure is less than 90
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