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Geometry Quiz 1.1-1.5 Terms
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Gravity
Terms in this set (37)
Inscribed Circle
A circle that is inside a triangle and is tangent to its sides.
Circumscribed Circle
A circle that goes around a triangle and passes through its vertices.
Incenter
The center of the inscribed circle of a triangle.
Circumcenter
The center of the circumscribed circle of a triangle.
Median
A segment that joins a vertex of a triangle to the midpoint of the opposite side.
Centroid
The point where the medians of a triangle intersect.
Altitude
A segment that passes through a vertex of a triangle and is perpendicular to the opposite side.
Perpendicular Lines
Two lines that intersect to form a right angle.
Parallel Lines
Two coplanar lines that do not intersect.
Conjecture
A statement that you think is true based on observations.
Theorem
A statement that you prove using logical reasoning.
Midpoint
A point that divides a segment into two congruent parts.
Segment Bisector
A line that passes through the midpoint of a segment.
Perpendicular Bisector
A line that bisects a segment and is also perpendicular to it.
Angle Bisector
A ray that divides an angle into two congruent parts.
Perpendicular Lines Theorem
If two coplanar lines are perpendicular to the same line, then they are parallel.
Distance from a Point to a Line
The shortest segment from a point to a line is the one that is perpendicular to the line.
Angle Congruence Postulate
Two angles are congruent if and only if they have the same measure.
Angle Addition Postulate
part of the angle + part of the angle = total angle
Complementary Angles
Two angles that make 90 degrees.
Supplementary Angles
Two angles that make 180 degrees.
Linear Pair Postulate
If two angles form a linear pair, then they are supplementary.
Right Angle
An angle whose measure is 90 degrees.
Acute Angle
An angle whose measure is less than 90 degrees.
Obtuse Angle
An angle whose measure is greater than 90 degrees an less than 180.
Straight Angle
An angle whose measure is 180 degrees.
Collinear
Points that lie on the same line.
Coplanar
Points that lie on the same plane.
Postulate
A statement that is accepted as true without proof.
Theorem
A statement that is proved using logical reasoning.
points
shown as dots, have no size, named by capital letters such as A or X
lines
have no thickness, are perfectly straight, and extend forever, can be named by two points on the line with line drawn above or by a single lowercase letter
planes
extend indefinitely in all directions along a flat surface, named by three non collinear points that lie in the plane or by a script capital letter
segment
is part of a line that begins at one endpoint and ends at another endpoint.
ray
part of a line that starts at a point and extends infinitely in one direction
angle
a figure formed by two rays with a common endpoint
vertex
common endpoint of two rays
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