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If there are two points,
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there is exactly one line that contains them.
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If there are two points,
there is exactly one line that contains them.
If there is a line,
then there are at least two points on the line
Two points determine a ____
line
If there are three noncollinear points,
there is exactly one plane that contains them
Three noncollinear points determine a _____
plane
Points are ________ iff there is a plane that contains all of them
coplanar
If two points lie in a plane,
the line that contains them lies in the plane
If A-B-C, then
AB+BC=AC
A line segment has exactly one ________
midpoint
If two angles are a linear pair,
they are supplementary
If the two angles in a linear pair are equal,
each is a right angle
If two angles are vertical angles,
they are equal
If two lines are perpendicular,
they form four right angles
Name the postulate: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
S.A.S Congruence Postulate
Name the postulate: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruents
A.S.A Congruence Postulate
If two sides of a triangle are equal,
the angles opposite them are equal
If a triangle is equilateral, it is also ___
equiangular
If two angles of a triangle are equal,
the sides opposite them are equal
If a triangle is equiangular, it is also ___
equilateral
Name the theorem: If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent
S.S.S Congruence Theorem
In a plane, two points each equidistant from the endpoints of a line segment determine the __ __ of the line segment
perpendicular bisector
Name the theorem: An exterior angle of a triangle is greater than either remote angle
Exterior Angle Theorem
Name the theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side
Triangle Inequality Theorem
If two lines form equal corresponding angles with a transversal,
the lines are parallel
If two lines for equal alternate interior angles with a transversal,
the lines are parallel
If two lines form supplementary interior angles on the same side of a transversal,
the lines are parrallel
In a plane, two lines perpendicular to a third line are...
parallel to each other
In a plane, through a point on a line there is exactly ___ line perpendicular to the line.
one
Through a point not on a line, there is exactly ___ line perpendicular to the line.
one
Name the postulate: Through a point not on a line, there is exactly one line parallel to the line
Parallel Postulate
In a plane, two lines parallel to a third line are ________ to each other
parallel
In a plane, if a line is perpendicular to one of two parallel lines,
it is also perpendicular to the other
The perpendicular segment from a point to a line is the ________ segment joining them
shortest
The sum of the measures of the angles of a triangle is ___º
180
If two angles of one triangle are equal to two angles of another triangle,
the third pair of angles are equal.
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