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Geometry Ch. test

Ch. 3 test

QuestionAnswer
parallel lines coplanar, do not intersect
perpendicular lines intersect at 90 degree angles
skew lines not coplanar, not parallel, do not intersect
parallel planes planes that do not intersect
transversal a line that intersects two coplanar lines at two different points
corresponding angles lie on the same side of the transversal
alternate interior angles nonadjacent angles that lie on opposite sides of the transversal
alternate exterior angles lie on opposite sides of the transversal
same-side interior angles lie on the same side of the transversal
corresponding angles postualte if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent
alternate interior angles theorem if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
alternate exterior angles theorem if two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent
same-side interior angles theorem if two parallel lines are cut by a transversal, then the two pairs of same side interior angles are supplementary
converse of the corresponding angles postulate if two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel
converse of the alternate interior angles theorem if two coplanar lines are cut by a transversal so that a pair of alternate interior angle are congruent, then the two lines are parallel
converse of the alternate exterior angles theroem if two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel
converse of the same-side interior angles theorem if two coplanar lines are cut by a trnansversal so that a pair of same-side interior angles are supplementary, then the two lines are parallel
perpendiculare bisector a line perpendicular to a segment at the segment's midpoint
distance from a point to a line the length of the perpendicular segment from the point to the line
perpendicular transversal theorem in a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line
rise the difference in the y-values of two points on a line
run the difference in the x-values of two points on a line
slope the ratio of rise to run. y2-y1/x2-x1
point slope form y-y1=m(x-x1)
slope-interept form y=mx+b
vertical line x=a
horizontal line y=b
(pairs of lines)parallel lines same slope, different y-intercept
intersecting lines different slopes
coinciding lines same slope, same y-intercept
Created by: kgr101297
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