Parallel Lines and Transversals
What would you call two lines which do not intersect? Parallel A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol || is used to indicate parallel lines. AB || CD
Parallel Lines and Transversals A slash through the parallel symbol || indicates the lines are not parallel. AB || CD
Parallel Lines and Transversals Transversal - A transversal is a line which intersects two or more lines in a plane. The intersected lines do not have to be parallel. Lines j, k, and m are intersected by line t. Therefore, line t is a transversal of lines j, k, and m.
Parallel Lines and Transversals Identifying Angles Exterior angles are on the exterior of the two lines cut by the transversal. The exterior angles are: <1, <7, <2, <8
Parallel Lines and Transversals Identifying Angles Interior angles are on the interior of the two lines cut by the transversal. The interior angles are: <3, <5, <4, <6
Parallel Lines and Transversals Identifying Angles Alternate interior angles are on the interior of the two lines and on opposite sides of the transversal. Alternate interior angles are: <3 & <6, <4 & <5
Parallel Lines and Transversals Identifying Angles Alternate exterior angles are on the exterior of the two lines and on opposite sides of the transversal. Alternate exterior angles are: <1 & <8, <2 & <7
Parallel Lines and Transversals Identifying Angles Corresponding angles are on the corresponding side of the two lines and on the same side of the transversal. Corresponding angles are: <1 & <5, <3 & <7, <2 & <6, <4 & <8
Parallel Lines and Transversals Identifying Angles Vertical are on the opposite side of the two lines and on the opposite side of the transversal. Vertical angles are: <1 & <4, <3 & <2, <5 & <8, <6 & <7
2. < 2 and < 10 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding Determine if the statement is true or false. If false, correct the statement. 1.Line r is a transversal of lines p and q.
2. < 2 and < 10 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding Determine if the statement is true or false. If false, correct the statement. 1.Line r is a transversal of lines p and q. True – Line r intersects both lines in a plane. False - The angles are corresponding angles on transversal p.
4. < 1 and < 15 are alternate exterior angles. 3.<3 and < 5 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding Determine if the statement is true or false. If false, correct the statement.
4. < 1 and < 15 are alternate exterior angles. 3. < 3 and < 5 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding Determine if the statement is true or false. If false, correct the statement. False – The angles are vertical angles created by the intersection of q and r. True - The angles are alternate exterior angles on transversal p.
6. 10 and 11 are vertical angles. 5. < 6 and < 12 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding Determine if the statement is true or false. If false, correct the statement.
6. 10 and 13 are vertical angles. 5. < 6 and < 12 are alternate interior angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding Determine if the statement is true or false. If false, correct the statement. True – The angles are alternate interior angles on transversal q. True – The angles are consecutive interior angles on transversal s.
Determine if the statement is true or false. If false, correct the statement. 7. < 3 and < 4 are alternate exterior angles and 14 are correxponding angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding
Determine if the statement is true or false. If false, correct the statement. 7. < 3 and < 4 are alternate exterior angles. 8. < 16 and < 14 are corresponding angles. Parallel Lines and Transversals Identifying Angles – Check for Understanding False– The angles are adjacent angles on transversal r. True – The angles are corresponding angles on transversal s.