Flashcards in Chapter 3 Deck (44):

1

## Skew Lines

### do not intersect and are not coplanar

2

## Parallel Planes

### Planes that don't intersect

3

## A line that intersects two or more coplanar lines at 2 different points

### Transversal

4

## Angles that lie between two transversals that intersect the same line

### Interior Angles

5

## An angle that lies in the region that is not between two transversals that intersect the same line

### Exterior Angle

6

## Interior Angles that lie on the same side of the transversal

### Consecutive Interior Angles

7

## Nonadjacent interior angles that lie on opposite sides of the transversal

### Alternate Interior Angles

8

## Nonadjacent exterior angles that lie on opposite sides of the transversal

### Alternate Exterior Angles

9

## Angles on the same side of the transversal, in the same position to each line

### Corresponding Angles

10

## Corresponding Angles Postulate

### If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent

11

## Alt Int angles Postulate

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

12

## Consecutive Interior Angles Postulate

### If two parallel lines are cit by a transversal, each pair of consec int.

13

## Alternate Exterior Angles Theorem

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

14

## Perpendicular Transversal Theorem

### If a line is perpendicular to one of two parallel lines, it is perpendicular to the other

15

## The ratio of change along the y-axis to the change along the x-axis between any two points on the line

### Slope

16

## Slope Formula

### y2-y1/x2-x1

17

## (Parallel, perpendicular) Lines have the same slope

### Parallel

18

## If two lines are perpendicular, their slopes are...

### Opposite Reciprocals

19

## Slope intercept Form

### y=mx+b

20

## Point-Slope Form

### y-y1=m(x-x1)

21

## Equation of a Horizontal Line

### y=b

22

## equation of a vertical line

### x=a

23

## Converse

### switches hypothesis and conclusion

24

## Parallel Lines

### Coplanar lines that do not intersect

25

## Converse of Corresponding Angles Postulate

### If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

26

## Alternate Exterior Angles Converse

### If two lines are cut by a transversal so that a pair of alternate exterior angles is congruent, then the lines are parallel

27

## 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

28

## 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

29

## Perpendicular Transversal Converse

### In a plane, if two lines are perpendicular to the same line, then they are parallel

30

## Parallel Postulate

### If given a line and a point not on the line, there exists exactly one line through the point that is parallel to the given line

31

## Distance Between a Point and a Line

### the distance between a line and a point not on the line is the segment perpendicular to the line from the point

32

## Perpendicular Postulate

### If given a line and a point not on the line, there is exactly one line through the point that is perpendicular to the given line

33

## The distance between two lines measured along a perpendicular line to the lines is always the same

### Equidistant

34

## Distance Between Parallel Lines

### The distance between two parallel lines is the perpendicular distance from one of the lines and any point on the other line.

35

## Converse of Corresponding Angles Postulate

36

## Alternate Exterior Angles Converse

37

## Consecutive Interior Angles Converse

38

## Alternate Interior Angles Converse

39

## Perpendicular Transversal Converse

### In a plane, if two lines are perpendicular to the same line, then they are parallel

40

## Parallel Postulate

41

## Distance Between a Point and a Line

42

## Perpendicular Postulate

43

## The distance between two lines measured along a perpendicular line to the lines is always the same

### Equidistant

44