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Geometry Ch. test
Ch. 3 test
| Question | Answer |
|---|---|
| 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 |