Copy in agenda and add Copy in agenda and add to TOCto TOC#2 Congruent Angles#2 Congruent Angles

lr || lw

Parallel Lines and Angle Parallel Lines and Angle RelationshipsRelationships

VocabularyVocabulary

1.1. CongruentCongruent2.2. Complementary Angles Complementary Angles 3.3. Supplementary AnglesSupplementary Angles4.4. Parallel LinesParallel Lines5.5. TransversalTransversal6.6. Corresponding Angles Corresponding Angles 7.7. Alternate Interior AnglesAlternate Interior Angles8.8. Alternate Exterior AnglesAlternate Exterior Angles9.9. Vertical AnglesVertical Angles10.10. Same Side Interior AnglesSame Side Interior Angles

Complete each sentence.1. Angles that have equal measures are ______________.

2. Angles whose measures have a sum of 90° are _______________ .

3. Angles whose measures have a sum of 180° are ______________.

Course 3

7-2 Parallel and Perpendicular Lines

complementary

congruent

supplementary

)(

Two or more lines Two or more lines are parallel if and are parallel if and only if they are in only if they are in the same plane the same plane and they do not and they do not intersect. (intersect. (line w line w and r)and r)

lw

lr

lr || lw

A line intersecting A line intersecting twotwo or or moremore coplanar lines. coplanar lines. ((lines r and w)lines r and w)

lr

lw

lr || lw

Corresponding anglesCorresponding angles are are congruentcongruent..

1

5

2

6

3

7

4

8

lr

lw

lr || lw

Alternate Exterior anglesAlternate Exterior angles are are congruentcongruent..

1

8

2

7lw

lr

lr || lw

Alternate Interior anglesAlternate Interior angles are are congruentcongruent..

3

6

4

5

lw

lr

lr || lw

If two angles are If two angles are Vertical anglesVertical angles, , then they are also then they are also congruentcongruent. .

1

4

2

3

5

87

6

lw

lr

lr || lw

If two angles are If two angles are Same Side Interior AnglesSame Side Interior Angles, , then they are also then they are also supplementarysupplementary. .

lw

lr

lr || lw

1

5

Warm UpWarm Up

What is the name of the transversal?What is the name of the transversal?

If two angles are If two angles are adjacent anglesadjacent angles, , then they are also then they are also supplementarysupplementary. .

lw

lr

lr || lw

Parallel Lines PracticeParallel Lines Practice

Math 8Math 8

Write your name in the vertical angle to Math8Write your name in the vertical angle to Math8 Draw a heart in the corresponding angle to your Draw a heart in the corresponding angle to your

namename Draw a smiley face in the same-side exterior Draw a smiley face in the same-side exterior

angle to the heartangle to the heart Draw a star in the alternate exterior angle to the Draw a star in the alternate exterior angle to the

smiley facesmiley face Write “I love math” in the adjacent angle to the Write “I love math” in the adjacent angle to the

starstar In the same side interior angle to your name, In the same side interior angle to your name,

draw a flowerdraw a flower In the alternate interior angle to the flower, write In the alternate interior angle to the flower, write

today’s datetoday’s date

Write your name in the upper right angleWrite your name in the upper right angle Draw a star in the corresponding angle to Draw a star in the corresponding angle to

your nameyour name Draw a heart vertical to the starDraw a heart vertical to the star Write the name of your favorite Write the name of your favorite

actor/actress’ alternate interior angle to the actor/actress’ alternate interior angle to the starstar

Draw flower for the same side interior to the Draw flower for the same side interior to the star.star.

Draw smiley face vertical to the flowerDraw smiley face vertical to the flower Draw a sun corresponding angle to smiley Draw a sun corresponding angle to smiley

face.face. Write “D” to the angle adjacent to the heart.Write “D” to the angle adjacent to the heart.

Warm Up – Name ALL:Warm Up – Name ALL: Veritical Angles Veritical Angles Corresponding Corresponding

AnglesAngles

aa b b

cc dd

ee f f

g hg h

Write your name in the upper left angleWrite your name in the upper left angle Write your boy friend/girl friend’s name in the Write your boy friend/girl friend’s name in the

alternate exterior angle to your name.alternate exterior angle to your name. Draw a smiley face in the angle that is vertical to Draw a smiley face in the angle that is vertical to

your boyfriend/girlfriend’s name.your boyfriend/girlfriend’s name. Draw a stick figure in the same side exterior to your Draw a stick figure in the same side exterior to your

boyfriend/girlfriend’s nameboyfriend/girlfriend’s name Draw a circle alternate exterior to the stick figure.Draw a circle alternate exterior to the stick figure. Write your favorite color adjacent to smiley face.Write your favorite color adjacent to smiley face. Write an algebraic expression corresponding to the Write an algebraic expression corresponding to the

circle.circle. Write your favorite subject alternate interior to Write your favorite subject alternate interior to

smiley face.smiley face.

Write “Z” on the upper right angle.Write “Z” on the upper right angle. Write your Mom/Dad’s name corresponding to Z.Write your Mom/Dad’s name corresponding to Z. Draw a sun vertical to Z.Draw a sun vertical to Z. Write your favorite tv show/movie alternate Write your favorite tv show/movie alternate

exterior to Z.exterior to Z. Write your shoe size same side interior to the Write your shoe size same side interior to the

sun.sun. Draw a triangle corresponding to your shoe size.Draw a triangle corresponding to your shoe size. Draw a star adjacent to your Mom/Dad’s name.Draw a star adjacent to your Mom/Dad’s name. Write your favorite sport corresponding to the Write your favorite sport corresponding to the

star.star.

1.1. Parallel LinesParallel Lines

2.2. TransversalTransversal

3.3. Corresponding Angles Corresponding Angles

4.4. Alternate Interior AnglesAlternate Interior Angles

5.5. Alternate Exterior AnglesAlternate Exterior Angles

6.6. Vertical AnglesVertical Angles

7.7. Same Side Interior AnglesSame Side Interior Angles

Students Sample Students Sample ProblemsProblems