Copy in agenda and add to TOC Copy in agenda and add to TOC #2 Congruent Angles #2 Congruent Angles
lr || lw Parallel Lines and Angle Relationships
Vocabulary 1. Congruent 2. Complementary Angles 3. Supplementary Angles 4. Parallel Lines 5. Transversal 6. Corresponding Angles 7. Alternate Interior Angles 8. Alternate Exterior Angles 9. Vertical Angles 10. Same 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 Parallel and Perpendicular Lines complementary congruent supplementary
Two or more lines are parallel if and only if they are in the same plane and they do not intersect. (line w and r) Two or more lines are parallel if and only if they are in the same plane and they do not intersect. (line w and r) lw lr lr || lw
A line intersecting two or more coplanar lines. (lines r and w) A line intersecting two or more coplanar lines. (lines r and w) lr lw lr || lw
Corresponding angles are congruent. Corresponding angles are congruent lr lw lr || lw
Alternate Exterior angles are congruent. Alternate Exterior angles are congruent lw lr lr || lw
Alternate Interior angles are congruent. Alternate Interior angles are congruent lw lr lr || lw
If two angles are Vertical angles, then they are also congruent. If two angles are Vertical angles, then they are also congruent lw lr lr || lw
If two angles are Same Side Interior Angles, then they are also supplementary. If two angles are Same Side Interior Angles, then they are also supplementary. lw lr lr || lw 1 5
Warm Up What is the name of the transversal?
If two angles are adjacent angles, then they are also supplementary. If two angles are adjacent angles, then they are also supplementary. lw lr lr || lw
Parallel Lines Practice
Math 8 Math 8
Write your name in the vertical angle to Math8 Write your name in the vertical angle to Math8 Draw a heart in the corresponding angle to your name Draw a heart in the corresponding angle to your name Draw a smiley face in the same-side exterior angle to the heart Draw a smiley face in the same-side exterior angle to the heart Draw a star in the alternate exterior angle to the smiley face Draw a star in the alternate exterior angle to the smiley face Write “I love math” in the adjacent angle to the star Write “I love math” in the adjacent angle to the star In the same side interior angle to your name, draw a flower In the same side interior angle to your name, draw a flower In the alternate interior angle to the flower, write today’s date In the alternate interior angle to the flower, write today’s date
Write your name in the upper right angle Write your name in the upper right angle Draw a star in the corresponding angle to your name Draw a star in the corresponding angle to your name Draw a heart vertical to the star Draw a heart vertical to the star Write the name of your favorite actor/actress’ alternate interior angle to the star Write the name of your favorite actor/actress’ alternate interior angle to the star Draw flower for the same side interior to the star. Draw flower for the same side interior to the star. Draw smiley face vertical to the flower Draw smiley face vertical to the flower Draw a sun corresponding angle to smiley face. Draw a sun corresponding angle to smiley face. Write “D” to the angle adjacent to the heart. Write “D” to the angle adjacent to the heart.
Warm Up – Name ALL: Veritical Angles Corresponding Angles ab cd e f e f g h g h
Write your name in the upper left angle Write your name in the upper left angle Write your boy friend/girl friend’s name in the alternate exterior angle to your name. Write your boy friend/girl friend’s name in the alternate exterior angle to your name. Draw a smiley face in the angle that is vertical to your boyfriend/girlfriend’s name. Draw a smiley face in the angle that is vertical to your boyfriend/girlfriend’s name. Draw a stick figure in the same side exterior to your boyfriend/girlfriend’s name Draw a stick figure in the same side exterior to your boyfriend/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 circle. Write an algebraic expression corresponding to the circle. Write your favorite subject alternate interior to smiley face. Write your favorite subject alternate interior to 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 exterior to Z. Write your favorite tv show/movie alternate exterior to Z. Write your shoe size same side interior to the sun. Write your shoe size same side interior to the 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 star. Write your favorite sport corresponding to the star.
1. Parallel Lines 2. Transversal 3. Corresponding Angles 4. Alternate Interior Angles 5. Alternate Exterior Angles 6. Vertical Angles 7. Same Side Interior Angles
Students Sample Problems