# H Geometry Ch.3

## 26 terms

### parallel lines

coplanar and do not intersect

### perpendicular lines

coplanar lines that intersect at a right angle

### skew lines

non coplanar lines and do not intersect

### corresponding angles

angles that lie on the same side of the transversal and same side of their line

### alternate interior angles

lie on the opposite sides of the transversal and in the interior of the lines

### alternating exterior angles

lie on the opposite sides of the transversal and on the exterior of the lines

### same side interior angles

lie on the same side of the transversal and in the inside of the lines

### perpendicular bisector

a line or segment that is perpendicular to another segment at it's midpoint

### slope

the rate of change-rise over run

y-y1=m(x-x1)

y=mx+b

y=#

x=#

### slopes of perpendicular lines

will have negative reciprocals

### slopes of parallel lines

will have the same slope

### corresponding angle postulate

if two paralell lines are cut by a transveral, then the pairs of corresponding angles are congruent

### alternate interior angle theorem

if two parallel lines are cut by a transversal, then each pair of alternate interior angles are congruent

### alternate exterior angle theorem

if two parallel lines are cut by a transversal, then each pair of alternate exterior angles are congruent

### same side interior angle theorem

if two parallel lines are connected by a transversal, then pairs of same side interior angles are supplementary

### converse of the corresponding angle postulate

if there are pairs of corresponding and congruent angles, then the two lines cut by a transversal are parallel

### converse of the alternate interior angle theorem

if pairs of alternate angles are congruent , then the two lines cut by a transversal are parallel

### converse of the alternating exterior angle theorem

if pairs of alternating exterior angles are congruent, then two lines cut by a transversal are parallel

### converse of the same side interior angle theorem

if pairs of same side interior angles are supplementary, then two lines cut by a transversal are parallel

### two intersecting lines form a linear pair of congruent angles implies transversal lines

if two intersecting lines form a linear pair of congruent angles, then the lines are perpendicular

### perpendicular transversal theorem

if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line

### two lines perpendicular to the same lines implies two lines parallel

if two lines are perpendicular to the same line, then the two lines are parallel

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