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Geometry: Unit 1
A review of Unit 1.
46
Mathematics
10th Grade
01/17/2011

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Term
a mathematical statement assumed to be true
Definition
postulate
Term
a clear, logical structure that begins from accepted ideas and proceeds through logic to reach a conclusion
Definition
proof
Term
a mathematical statement that has been or is to be proven on the basis of established definitions and properties
Definition
theorem
Term
three noncollinear points determine a ___
Definition
plane
Term
a location in space
Definition
point
Term
all the points along a straight, unbroken path that extends forever in both directions
Definition
line
Term
a flat surface that extends forever in all directions
Definition
plane
Term
the process of repeating a unit over a quantity
Definition
a measurement
Term
line segments that have equal length
Definition
congruent line segments
Term
If two segments have the same length as measured by a fair ruler, then the segments are ____.
Definition
congruent
Term
Segment Addition Postulate:
If point B is between points A and C on a line, then AB+BC=____
Definition
AC
Term
an angle that measures less than 90 degrees
Definition
acute angle
Term
the figure formed by two rays, called sides, that share the same endpoint
Definition
angle
Term
the region outside the lines that make up an angle
Definition
exterior of an angle
Term
the region between the two sides of an angle
Definition
interior of an angle
Term
an angle that measures greater than 90 degrees and less than 180 degrees
Definition
obtuse angle
Term
an angle that measures 90 degrees
Definition
right angle
Term
an angle that measure exactly 180 degrees (is a line)
Definition
a straight angle
Term
the common endpoint of the angle
Definition
vertex of an angle
Term
a part of a line that begins at an endpoint and extends forever in one direction
Definition
ray
Term
coplanar lines that never intersect
Definition
parallel lines
Term
lines that meet at right angles
Definition
perpendicular lines
Term
a line, line segment, or ray that divides an angle into two congruent angles
Definition
angle bisector
Term
an educated guess based on observations
Definition
conjecture
Term
a point that divides a line segment into two congruent parts
Definition
midpoint
Term
a line that is at the midpoint of and perpendicular to a line segment
Definition
perpendicular bisector
Term
a line, line segment, or ray that passes through the midpoint of a line segment
Definition
segment bisector
Term
the point at which the perpendicular bisectors of each side of a triangle meet
Definition
circumcenter
Term
encircling and touching each vertex of another figure; a circle is circumscribed about a triangle if each vertex of the triangle lies on the circle
Definition
circumscribed
Term
the center of the circle that can be inscribed within a figure
Definition
incenter
Term
a circle inside a figure and touching exactly one point on each side of the figure
Definition
inscribed circle
Term
When lines intersect at a single point, the lines are said to be ___.
Definition
concurrent
Term
the point of intersection of the three medians of a triangle
Definition
centroid
Term
a segment drawn from the vertex of a triangle to the midpoint of its opposite side
Definition
median of a traingle
Term
in a transformation, the figure that is the result of the transformation
Definition
image
Term
a transformation that preserves the size and shape of an object's original image
Definition
isometry
Term
an original figure before transformation
Definition
pre-image
Term
a transformation of a figure by flipping it across a line or line segment, creating a mirror image of the figure
Definition
reflection
Term
the turning of a figure a certain number of degrees around a central point
Definition
rotation
Term
a one-to-one mapping between two sets of points
Definition
transformation
Term
the sliding of a figure in a straight path without rotation or reflection
Definition
translation
Term
The coordinate plane is labeled from l to lV, starting in the upper right corner and labeling ____.
Definition
counterclockwise
Term
a type of reasoning that uses previously proven or accepted properties to reach conclusions
Definition
deductive reasoning
Term
a type of reasoning that is based on observations of patterns and past events
Definition
inductive reasoning
Term
an act of seeing or otherwise recognizing a situation, detail, or the like
Definition
observation
Term
a statement that is presumed to be true in the course of a logical argument
Definition
premise
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