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.

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Presentation transcript:

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 complete the vocabulary pop quiz. I will give you 5 minutes to complete.

Section 11.1 Continued Angle and Line Relationships R drive > Key > March 9_13 > 11.1__Angle & Line Relationships Cont. File > Save As > P drive > Math > March 9_13 > 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 Classify the relationship between <9 and <13 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 - 25

Homework Section 11.1 #4 -9, 13 - 25

Homework Section 11.1 #4 – 9, 13 - 25

Homework Section 11.1 #4 – 9, 13 - 25

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