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14 terms

Geometry Quiz 5

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vertical angles
When angles are across from one another in an X pattern,Vertical angles are congruent
perpendicular lines
If two lines intersect, and one of the angles is 90°, then the lines are perpendicular.
perpendicular bisector
If a line or a segment is perpendicular to another segment at its midpoint,The distances of any point on the perpendicular bisector from both endpoints of the line being bisected are the same. If any point on the perpendicular bisector is connected to the endpoints of the segment being bisected, the angles formed at the endpoints are congruent.
coplanar lines
Two lines that are in the same plane are
skew lines
Two lines that are in the same plane are called coplanar lines; otherwise they are referred to as
intersecting lines
When they have one common point, they are
parallel lines
If two lines are on the same plane and have no common points then they are
concurrent lines
If a set of two or more lines intersect in only one point, concurrent lines are another form of intersecting lines
transversal
If a line intersects a set of parallel lines it is
vertical angles theorem
vertical angles have an equal measure
perpendicular lines theorem
If two lines are perpendicular, then they form congruent adjacent angles
If two lines form congruent adjacent angles, then the lines are perpendicular.
If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complimentary
the properties of a perpendicular bisector
The distances of any point on the perpendicular bisector from both endpoints of the line being bisected are the same.
If any point on the perpendicular bisector is connected to the endpoints of the segment being bisected, the angles formed at the endpoints are congruent.
congruent angles when parallel lines are cut by a transversal
Alternate Interior Angles are located between the parallel lines and on opposite sides of the transversal.
difference between Euclidean and Non-Euclidean Geometry
Euclidean Geometry is all on a flat surface
Spherical geometry is an example of non-Euclidean geometry.