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Lines that are coplanar and do not intersect. Parallel Lines.

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Presentation on theme: "Lines that are coplanar and do not intersect. Parallel Lines."— Presentation transcript:

1

2 Lines that are coplanar and do not intersect.

3 Parallel Lines

4 Planes that do not intersect.

5 Parallel Planes

6 A line that intersects two or more coplanar lines at different points.

7 Transversal

8 Lines that do not intersect and are not coplanar.

9 Skew Lines

10 If there is a line and a point not on the line, then there is _______ through the point parallel to the given line.

11 exactly one line

12 If there is a line and a point not on the line, then there is _______ through the point perpendicular to the given line.

13 exactly one line

14 Two angles are ___________ if they occupy corresponding positions on the transversal.

15 Corresponding angles

16 Two angles are _________ if they lie between the two lines on opposite sides of the transversal.

17 alternate interior angles

18 Two angles are _________ if they lie between the two lines on the same side of the transversal.

19 Consecutive interior angles

20 Two angles are _________ if they lie outside the two lines on opposite sides of the transversal.

21 alternate exterior angles

22 If two lines intersect to form a linear pair of congruent angles, then the lines are __________.

23 perpendicular

24 If two sides of two adjacent acute angles are perpendicular, then the angles are __________.

25 Complementary

26 If two lines are perpendicular, then they intersect to form ______________________.

27 four right angles

28 Vertical Angles are ____________.

29 Congruent

30 If two parallel lines are cut by a transversal, then the pairs of ________ are congruent.

31 Corresponding angles

32 If two parallel lines are cut by a transversal, then the pairs of ________ are congruent.

33 alternate interior angles

34 If two parallel lines are cut by a transversal, then the pairs of ________ are congruent.

35 alternate exterior angles

36 If two parallel lines are cut by a transversal, then the pairs of ________ are supplementary.

37 Consecutive interior angles

38 If two lines are parallel to the same line, then they are ____________ to each other.

39 parallel

40 In a plane, if two lines are perpendicular to the same line, then they are ______________ to each other.

41 parallel

42 The ratio of the vertical change (the rise) to the horizontal change (the run) of a non- vertical line.

43 slope

44 In a coordinate plane, two non- vertical lines are parallel if and only if they have the same ________.

45 slope

46 All vertical lines are __________ and have a slope that is _______________.

47 Parallel, undefined

48 The equation of a line in slope intercept form

49 y = mx + b

50 Vertical and horizontal lines are ____________________.

51 perpendicular

52 In a coordinate plane, two non- vertical lines are perpendicular if and only if the product of their slopes is ______.

53

54 If a transversal is perpendicular to one of two parallel lines, then it is ___________ to the other.

55 perpendicular


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