Transcript Bell Ringer

Bell Ringer
Simplify each expression.
1. -8q + 6 + 5q – 3
2. h + 5h – 3 – 6h
3. b-2(b-2)
4. 12m + 9 – 2m - 16
Homework Check
Homework Check
Vocabulary Pop Quiz
 Today, I will let you use your PAPER NOTES to
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 I will give you 5 minutes to complete.
Section 11.1 Continued
Angle and Line Relationships
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11.1__Angle & Line Relationships Cont.
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11.1__Angle & Line Relationships Cont.
Vocabulary
 Perpendicular Lines – When two lines intersect to
form a right angle
Vocabulary
 Parallel Lines – Two lines that never intersect
 Transversal – A line that intersects two or more other
lines in a plane
Vocabulary
When a transversal intersects two parallel lines, eight
angles are formed.
 Interior Angles – Angles that lie inside the parallel
lines. For example: ∠3, ∠ 4, ∠ 5, ∠ 6
 Exterior Angles – Angles that lie outside the parallel
lines. For example: ∠ 1, ∠ 2, ∠ 7, ∠ 8
Vocabulary
 ≅ - is congruent to
 || - is parallel to
Vocabulary
 Alternate Interior Angles – Angles on opposite
sides of the transversal and inside the parallel
lines
 Alternate Exterior Angles – Angles on opposite
sides of the transversal and outside the parallel
lines
 Corresponding Angles- Angles in the same
position on the parallel lines in relation to the
transversal
Notes
The following pairs of angles are congruent:
 Alternate Interior Angles
 ∠ 3 ≅ ∠ 5, ∠ 4 ≅ ∠ 6
 Alternate Exterior Angles
 ∠ 1 ≅ ∠ 7, ∠ 2 ≅ ∠ 8
 Corresponding Angles
 ∠ 1 ≅ ∠ 5, ∠ 2 ≅ ∠ 6, ∠ 3 ≅ ∠7, ∠ 4 ≅ ∠ 8
Example 1
Find Measures of Angles Formed by Parallel Lines
Example 2
Find Measures of Angles Formed by Parallel Lines
Example 3
Find Measures of Angles Formed by Parallel Lines
a) Classify the relationship between <9 and <13
b) If m<13 is 75°, find m<11 and m<15.
Example 4
Use Algebra to Find Missing Angle Measures
Example 5
Use Algebra to Find Missing Angle Measures
Example 6 – Your Turn
Use Algebra to Find Missing Angle Measures
Angles DEF and WXY are complementary angles, with
m<DEF = 2x and m<WXY = 3x – 20. Find the measures
of <DEF and <WXY.
Homework
Section 11.1 # 4 – 9, 13 - 22
Homework
Section 11.1 # 4 – 9, 13 - 22
Homework
Section 11.1 #4 -9, 13 - 22
Homework
Section 11.1 #4 – 9, 13 - 22