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Glencoe Geometry Chapter 3
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Gravity
Terms in this set (34)
parallel lines
coplanar lines that do not intersect
skew lines
lined that do not intersect and are not coplanar
parallel planes
planes that do not intersect
transversal
a line that intersects two or more coplanar lines at two different points
interior angles
four ---lie in the region between lines q and r
exterior angles
four--- lie in the two regions that are not between lines q and r
consecutive interior angles
are interior angles that lie on opposite sides of transversal t
alternate interior angles
are nonadjacent interior angles that lie on opposite sides of transversal t
alternate exterior angles
are nonadjacent exterior angles that lie on opposite sides of transversal t
corresponding angles
lie on the same side of transversal t and on the same side of lines q and r
corresponding angles postulate
if two parallel lines are cut by a transversal then each pair of corresponding angles is congruent
alternate interior angles theorem
if two parallel lines are cut by a transversal then each pair of alternate interior angles is congruent
consecutive interior angles theorem
if two parallel lines are cut by transversal then each pair of consecutive interior angles is supplementary
alternate exterior angles theorem
if two parallel lines are cut by a transversal then each pair of alternate exterior angles is congruent
perpendicular transversal theorem
in a plane if a line is perpendicular to one of two parallel lines then it is perpendicular to the other
slope
is the ratio of the change along the y axis to the change along the y axis to the change along the x axis between any two points on the line
classifying slopes
positive, negative, zero, undefined
rate of change
slope can be interpreted as a ---
slopes of parallel lines
two nonvertical lines have the same slope if and only if they are parallel
slopes of perpendicular lines
two nonvertical lined are perpendicular if and only if the product of their slopes is -1
slope intercept form
of a linear equation is y=mx+b
point slope form
of a linear equation is y-y1=m(x-x1)
horizontal line equation
the equation of a horizontal line is y=b where b is the y intercept of the line
vertical line equation
the equation of a vertical line is x=a where a is the x intercept of the line
converse of corresponding angles postulate
if two lines are cut by a transversal so that corresponding angles are congruent then the lines are parallel
parallel postulate
if given a line and a point not on the line then there exists exactly one line through the point that is parallel to the given line
alternate exterior angles converse
if two lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent then the two lines are parallel
consecutive interior angles converse
if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary then the lines are parallel
alternate interior angles converse
if two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent then the lines are parallel
perpendicular transversal converse
in a plane if two lines are perpendicular to the same line then they are parallel
distance between a point and a line
the distance between a point and a line is the length of the segment perpendicular to the line from the point
perpendicular postulate
if given a line and a point not on the line then there existe exactly one line through the point that is perpendicular to the given line
distance between parallel lines
the distance between two parallel lines is the perpendicular dostance between on of the lines and any point on the line
two lines equidistant from a third
in a plane if two lines are equidistant from a third line then the two lines are parallel to each other
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