Chapter 3 Flashcards Preview

Honors Geometry > Chapter 3 > Flashcards

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

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

36

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

37

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

38

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

39

Perpendicular Transversal Converse

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

40

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

41

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

42

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

43

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

Equidistant

44

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.