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Published byClarence Peters Modified over 6 years ago
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Bell Ringer Simplify each expression q q – 3 2. h + 5h – 3 – 6h 3. b-2(b-2) 4. 12m + 9 – 2m - 16
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Homework Check
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Homework Check
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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.
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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.
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Vocabulary Perpendicular Lines – When two lines intersect to form a right angle
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Vocabulary Parallel Lines – Two lines that never intersect
Transversal – A line that intersects two or more other lines in a plane
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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
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Vocabulary ≅ - is congruent to || - is parallel to
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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
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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
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Example 1 Find Measures of Angles Formed by Parallel Lines
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Example 2 Find Measures of Angles Formed by Parallel Lines
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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.
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Example 4 Use Algebra to Find Missing Angle Measures
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Example 5 Use Algebra to Find Missing Angle Measures
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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.
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Homework Section 11.1 # 4 – 9,
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Homework Section 11.1 #4 -9,
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Homework Section 11.1 #4 – 9,
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Homework Section 11.1 #4 – 9,
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