Parallel lines and transversals
Transversal
A line that intersects two or more lines
Linear Pair
A pair of adjacent angles whose noncommon sides are opposite rays.
vertical angles
A pair of opposite congruent angles formed by intersecting lines
EFH or HFE
Angle ABF and angle ___ are corresponding angles.
Consecutive Interior Angles
Angles between the parallel lines and on the same side of the transversal
corresponding angles
Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.
Adjacent Angle
Angles that have a common side and a common vertex (corner point).
Congruent
Congruent or Supplementary?
vertical angles are congruent
Describe the relationship between A and B
alternate exterior angles are congruent
Describe the relationship between the two angles in the diagram
alternate interior angles are congruent
Describe the relationship between the two angles in the diagram
consecutive interior angles are supplementary
Describe the relationship between the two angles in the diagram
corresponding angles are congruent
Describe the relationship between the two angles in the diagram
linear pair of angles are supplementary
Describe the relationship between the two angles in the diagram
95 degrees
Find x.
Alternate interior angles theorem
If 2 lines crossed by a transversal are parallel, then the alternate interior angles are congruent.
Corresponding angles theorem
If a transversal intersects two parallel lines, then corresponding angles are congruent.
vertical angles theorem
If two angles are vertical angles, then they are congruent.
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Consecutive interior angles theorem
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
skew lines
Lines that do not intersect and are not coplanar
same side interior angles
The two angles that are inside (interior) the parallel lines and are on the same side of the transversal
Complementary Angles
Two angles whose sum is 90 degrees
perpendicular lines
Two lines that intersect to form right angles
Alternate Exterior Angles
Type of Angles?
Alternate Interior Angles
Type of Angles?
Corresponding Angles
Type of Angles?
Same Side Interior Angles
Type of Angles?
Corresponding Angles
What type of angle pair are 1 and 5?
Alternate Exterior Angles
What type of angle pair are 2 and 7?
Alternate Interior Angles
What type of angle pair are 3 and 6?
Same Side Interior Angles
What type of angle pair are 4 and 6?
Linear Pair
What type of angle pair are 5 and 6?
Linear Pair/Adjacent
What type of angle pair are 5 and 6?
Vertical Angles
What type of angle pair are 6 and 7?
1, 5, 7
Which angles are on the same side as angle 3?
2, 3, 6, 7
Which angles are supplementary to angle 4?
1, 4, 5, 8
Which angles are supplementary to angle 6?
3, 6, 7
Which angles have the same measure as angle 2?
1, 4, 8
Which angles have the same measure as angle 5?
Line n
Which line is the transversal?
transversal
a line that intersects two or more lines
Straight Angle
an angle that measures 180 degrees
alternate interior angles
angles between 2 lines and on opposite sides of a transversal
Same-side interior angles (consecutive)
angles on the same side of the transversal and inside the two lines
parallel lines
coplanar lines that do not intersect
Vertical Angle Theorem
vertical angles are congruent.
