Unit: Angle Relationships Name

Student Handout 1 Date

*Students will need a protractor to measure tne [r toe fir sf picture.

PARALLEL LINES AND TRANSVERSALS

In the picture below, Lines X and Y ore lines, and Line T is a

or a line that intersects them, Use a protractor to measure each of the 8 angles that were formed.

Line T

Line X

Line Y

What do you notice about the angle measures Q List which angles have the same measure.

There are only two different angle rneasures.the same measure, and angles B, D, and G (the

Label the inside of the parallel lines above ((lnterior", and label the outside region of the parallellines "Exterior".

Several special pairs of angles are created when parallel lines are cut by a transversal. Use thepicture above and the table to help you define and describe these types of angle pairs.

ANGLE PAIR

VERTICAL

ANGLES

STRAIGHT

ANGLES

ALTERNATE

INTERIOR ANGLES

ALTERNATE

EXTERIOR ANGLES

CORRESPONDING

ANGLES

DEFINITION

Pairs of opposite angles formed byintersecting; lines.

Angles that form a straight line and add up to1800 . (Also called supplementary

Angles inside the parallel lines and onopposite sides of the transversal

Angles outside the parallel lines and onopposite sides of the transversal

Angles in the same relative position; angles inmatchinq corners

EXAMPLES

LA and LC& and LG

LA and LB

LD and LFand LE

LA and LHLB and LG

LA and LEand LB

RELATIONSHIP

Supplementary

Congruent

Congruent

Congruent

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Use what you know about parallel lines and transversals to label each of the missing angles in the

picture below:

*Notice that when parallel lines are750 1050

crossed by a transversal, any two105 0 75 0

pairs of the angles formed will either

75 0 105 0 be conqruent

105 0 75 0 supplementary

Practice finding missing angles below. Be sure to justify your answers using specific vocabulary.

Line R is parallel to Line S. The mL2 = 55

s

Line J is parallel to Line K. The mz5 = 102 0.

1. Find the measure of L3. How do you know Q

Angle 3 is 55 0 because it is a vertical angle with

angle 2 and is therefore congruent to angle 2.

2. Find the measure of z7. How do you know Q

Angle 7 is 55 0 because Angles 2 and 7 arealternate exterior angles and are thereforecongruent.

3. Find the measure of L4. How do you know QAngle 4 is 102 0 because Angles 4 and 5 arealternate interior angles and are thereforecongruent.

4. Find the measure of Ll. How do you know QAngle 1 is 102 0 because it corresponds with Angle5 and is therefore congruent.

5. use the picture from questions 3-4 to rnark the following statements as true or false. If a statement isfalse, explain why to the right of the statement.

F Angle 2 and Angle are corresponding angles. Angle 2 and Angle 6 are corresponding angles

Angle 3 and Angle 5 are congruent angles. Angle 3 and Angle 5 are supplementary angles

—E— Angle 1 and Angle a are alternate interior angles. Angle 1 and Angle 8 are alternate exterior angles

Angle 5 and Angle are vertical angles.

Angle I and Angle 7 are supplementary angles.

Summarize today's lesson:

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