if parallel lines lie in two distinct planes, the planes must be parallel

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If parallel lines lie in two distinct planes, the planes must be parallel.

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If parallel lines lie in two distinct planes, the planes must be parallel. FALSE. Three planes can intersect at a point. TRUE (ex: corner of classroom). Three planes can intersect at a line. TRUE. If two lines in space are not parallel, then they must intersect. FALSE (Skew lines). - PowerPoint PPT Presentation

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Page 1: If parallel lines lie in two distinct planes, the planes must be parallel

If parallel lines lie in two distinct planes, the planes must be

parallel.

Page 2: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE

Page 3: If parallel lines lie in two distinct planes, the planes must be parallel

Three planes can intersect at a point.

Page 4: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE (ex: corner of classroom)

Page 5: If parallel lines lie in two distinct planes, the planes must be parallel

Three planes can intersect at a line.

Page 6: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE

Page 7: If parallel lines lie in two distinct planes, the planes must be parallel

If two lines in space are not

parallel, then they must intersect.

Page 8: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (Skew lines)

Page 9: If parallel lines lie in two distinct planes, the planes must be parallel

If lines are perpendicular to the same plane, they are parallel.

Page 10: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE

Page 11: If parallel lines lie in two distinct planes, the planes must be parallel

If a line is perpendicular to a line in a plane, then it is perpendicular to the plane.

Page 12: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (Mailbox problem… must be perp. to two lines in plane passing through foot)

Page 13: If parallel lines lie in two distinct planes, the planes must be parallel

If a line is perpendicular to one of two parallel planes, then it is perpendicular to the other.

Page 14: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE

Page 15: If parallel lines lie in two distinct planes, the planes must be parallel

If a line is perpendicular to a plane, then it is perpendicular to all lines in the plane.

Page 16: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (Not perp. to lines not passing through its foot)

Page 17: If parallel lines lie in two distinct planes, the planes must be parallel

If separate planes contain skew lines, the planes are parallel.

Page 18: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE

Page 19: If parallel lines lie in two distinct planes, the planes must be parallel

Two planes can intersect at a point.

Page 20: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (planes continue infinitely)

Page 21: If parallel lines lie in two distinct planes, the planes must be parallel

Two planes can intersect at a line.

Page 22: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE (crack at top of classroom)

Page 23: If parallel lines lie in two distinct planes, the planes must be parallel

The union of two planes is an angle.

Page 24: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (an angle is formed by lines – this is called a dihedral angle)

Page 25: If parallel lines lie in two distinct planes, the planes must be parallel

Two intersecting lines can lie in more than one plane.

Page 26: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (intersecting lines determine a plane)

Page 27: If parallel lines lie in two distinct planes, the planes must be parallel

Two parallel lines determine a plane.

Page 28: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE

Page 29: If parallel lines lie in two distinct planes, the planes must be parallel

Two skew lines determine a plane.

Page 30: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (by definition, skew lines lie in different planes)

Page 31: If parallel lines lie in two distinct planes, the planes must be parallel

Three points determine a plane.

Page 32: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE (must be non-collinear)

Page 33: If parallel lines lie in two distinct planes, the planes must be parallel

If three lines are parallel, then they must be coplanar.

Page 34: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE

Page 35: If parallel lines lie in two distinct planes, the planes must be parallel

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

Page 36: If parallel lines lie in two distinct planes, the planes must be parallel

TRUE

Page 37: If parallel lines lie in two distinct planes, the planes must be parallel

In space, if two lines are perpendicular to the same line, they are parallel.

Page 38: If parallel lines lie in two distinct planes, the planes must be parallel

FALSE

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