If lines m and n are parallel, we write. Transversal: A line that INTERSECTS two or more lines at 2
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1 Unit 4 Lesson 1: Parallel Lines and Transversals Name: COMPLEMENTARY are angles to add up to 90 SUPPLEMENTARY are angles to add up to 180 These angles are also known as a LINEAR PAIR because they form a STRAIGHT LINE What are some examples of linear pairs? Two lines are if PARALLEL they lie in the same plane and never intersect. If lines m and n are parallel, we write. m n Transversal: A line that INTERSECTS two or more lines at 2 points. Exterior angles: OUTSIDE the lines Exterior Angles 1, 2, 7, 8 n Interior angles: INSIDE the lines 3, 4, 5, 6 Interior Angles Corresponding Angles Corresponding Angles: angles that have corresponding or EQUIVALENT positions on. When a transversal crosses two parallel lines, the corresponding angles are. Identify the corresponding angles created when transversal t intersected parallel lines n and m Vertical Angles Vertical Angles: are angles that share the same VERTEX or corner o Vertical angles are Identify the pairs of vertical angles when transversal t intersected parallel lines n and m
2 Interior Angles Consecutive Interior Angles: angles that are on the SAME of the transversal and are INSIDE Consecutive interior angles are SUPPLEMENTARY (add up to ) 180 if the two lines the transversals crosses are parallel If l and m are parallel, identify the Consecutive interior angles and their sum. What is the consecutive interior angle corresponding to 3? 5 ( = ) 180 What is the Consecutive interior angle corresponding to 4? 6 ( = ) 180 Consecutive Exterior Angles: angles that are on the SAME of the transversal and are OUTSIDE Consecutive exterior angles are SUPPLEMENTARY (add up to ) 180 if the two lines the transversals crosses are parallel If l and m are parallel, identify the Consecutive exterior angles and their sum. What is the Consecutive exterior angle corresponding to 1? 7 ( = ) 180 What is the Consecutive exterior angle corresponding to 2? 8 ( = ) 180 Alternate Angles Alternate interior angles: angles that are on INSIDE of the transversal and are OPPOSITE SIDE Alternate interior angles are Alternate exterior angles: angles that are on OUTSIDE of the transversal and are OPPOSITE SIDE Alternate exterior angles are What type of relationship exists between 3 and 6? ALTERNATE INTERIOR Name the other pair of alternate interior angles. 4 and 5, 3 and 6 What type of relationship exists between 1 and 8? ALTERNATE EXTERIOR Name the other pair of alternate exterior angles. 2 and 7, 1 and 8
3 Identify each set of angles below as corresponding, vertical, alternate interior, alternate exterior, Consecutive interior, or Consecutive exterior. What does that tell you about the pair of angles? CONSECUTIVE INTERIOR VERTICAL ALTERNATE EXTERIOR SUPPLEMENTARY VERTICAL ALTERNATE INTERIOR CORRESPONDING Solve for the value of x in each set of parallel lines below: X=7 X=-8 X=-4 Find the measure of the angle indicated in bold:
4 X=9 = 100 X=96 = 80 X=9 = 70 Lesson 1 Classwork/Homework Properties of Transversals Identify each set of angles below as corresponding, vertical, alternate interior, alternate exterior, and consecutive interior or consecutive exterior. Then, determine whether each pair is congruent or supplementary. CONSECUTIVE INTERIOR ALTERNATE INTERIOR ALTERNATE EXTERIOR SUPPLEMENTARY ALTERNATE EXTERIOR VERTICAL CORRESPONDING
5 Identify the relationship between the two angles, then solve for x. X=-3 X=9 X=12 X=6 X=5 X=11
6 Identify the relationship that exists between the two angles, then find the measure of the bolded angle. CORRESPONDING X=6 = 90 VERTICAL X=6 = 120 VERTICAL VERTICAL X=7 = 70 X=7 = 70 LINEAR PAIR X=9 = 135
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