Five-Minute Check (over Lesson 3 1) CCSS Then/Now Postulate 3.1: Corresponding Angles Postulate Example 1: Use Corresponding Angles Postulate
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2 Five-Minute Check (over Lesson 3 1) CCSS Then/Now Postulate 3.1: Corresponding Angles Postulate Example 1: Use Corresponding Angles Postulate Theorems: Parallel Lines and Angle Pairs Proof: Alternate Interior Angles Theorem Example 2: Real-World Example: Use Theorems about Parallel Lines Example 3: Find Values of Variables Theorem 3.4: Perpendicular Transversal Theorem
3 Over Lesson 3 1 Choose the plane parallel to plane MNR. A. RST B. PON C. STQ D. POS
4 Over Lesson 3 1 Choose the plane parallel to plane MNR. A. RST B. PON C. STQ D. POS
5 Over Lesson 3 1 Choose the segment skew to MP. A. PM B. TS C. PO D. MQ
6 Over Lesson 3 1 Choose the segment skew to MP. A. PM B. TS C. PO D. MQ
7 Over Lesson 3 1 Classify the relationship between 1 and 5. A. corresponding angles B. vertical angles C. consecutive interior angles D. alternate exterior angles
8 Over Lesson 3 1 Classify the relationship between 1 and 5. A. corresponding angles B. vertical angles C. consecutive interior angles D. alternate exterior angles
9 Over Lesson 3 1 Classify the relationship between 3 and 8. A. alternate interior angles B. alternate exterior angles C. corresponding angles D. consecutive interior angles
10 Over Lesson 3 1 Classify the relationship between 3 and 8. A. alternate interior angles B. alternate exterior angles C. corresponding angles D. consecutive interior angles
11 Over Lesson 3 1 Classify the relationship between 4 and 6. A. alternate interior angles B. alternate exterior angles C. corresponding angles D. vertical angles
12 Over Lesson 3 1 Classify the relationship between 4 and 6. A. alternate interior angles B. alternate exterior angles C. corresponding angles D. vertical angles
13 Over Lesson 3 1 Which of the following segments is not parallel to PT? A. OS B. TS C. NR D. MQ
14 Over Lesson 3 1 Which of the following segments is not parallel to PT? A. OS B. TS C. NR D. MQ
15 Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.9 Prove theorems about lines and angles. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others.
16 You named angle pairs formed by parallel lines and transversals. Use theorems to determine the relationships between specific pairs of angles. Use algebra to find angle measurements.
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18 Use Corresponding Angles Postulate A. In the figure, m 11 = 51. Find m 15. Tell which postulates (or theorems) you used m 15 = m 11 m 15 = 51 Corresponding Angles Postulate Definition of congruent angles Substitution Answer:
19 Use Corresponding Angles Postulate A. In the figure, m 11 = 51. Find m 15. Tell which postulates (or theorems) you used m 15 = m 11 m 15 = 51 Corresponding Angles Postulate Definition of congruent angles Substitution Answer: m 15 = 51
20 Use Corresponding Angles Postulate B. In the figure, m 11 = 51. Find m 16. Tell which postulates (or theorems) you used. Answer: Vertical Angles Theorem Corresponding Angles Postulate Transitive Property ( ) m 16 = m 11 Definition of congruent angles m 16 = 51 Substitution
21 Use Corresponding Angles Postulate B. In the figure, m 11 = 51. Find m 16. Tell which postulates (or theorems) you used Answer: m 16 = 51 Vertical Angles Theorem Corresponding Angles Postulate Transitive Property ( ) m 16 = m 11 Definition of congruent angles m 16 = 51 Substitution
22 A. In the figure, a b and m 18 = 42. Find m 22. A. 42 B. 84 C. 48 D. 138
23 A. In the figure, a b and m 18 = 42. Find m 22. A. 42 B. 84 C. 48 D. 138
24 B. In the figure, a b and m 18 = 42. Find m 25. A. 42 B. 84 C. 48 D. 138
25 B. In the figure, a b and m 18 = 42. Find m 25. A. 42 B. 84 C. 48 D. 138
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28 FLOOR TILES The diagram represents the floor tiles in Michelle s house. If m 2 = 125, find m 3. Use Theorems about Parallel Lines 2 3 m 2 = m 3 Alternate Interior Angles Theorem Definition of congruent angles 125 = m 3 Substitution Answer:
29 FLOOR TILES The diagram represents the floor tiles in Michelle s house. If m 2 = 125, find m 3. Use Theorems about Parallel Lines 2 3 m 2 = m 3 Alternate Interior Angles Theorem Definition of congruent angles 125 = m 3 Substitution Answer: m 3 = 125
30 FLOOR TILES The diagram represents the floor tiles in Michelle s house. If m 2 = 125, find m 4. A. 25 B. 55 C. 70 D. 125
31 FLOOR TILES The diagram represents the floor tiles in Michelle s house. If m 2 = 125, find m 4. A. 25 B. 55 C. 70 D. 125
32 Find Values of Variables A. ALGEBRA If m 5 = 2x 10, and m 7 = x + 15, find x. 5 7 m 5 = m 7 2x 10 = x + 15 x 10 = 15 x = 25 Answer: Corresponding Angles Postulate Definition of congruent angles Substitution Subtract x from each side. Add 10 to each side.
33 Find Values of Variables A. ALGEBRA If m 5 = 2x 10, and m 7 = x + 15, find x. 5 7 m 5 = m 7 2x 10 = x + 15 x 10 = 15 x = 25 Answer: x = 25 Corresponding Angles Postulate Definition of congruent angles Substitution Subtract x from each side. Add 10 to each side.
34 Find Values of Variables B. ALGEBRA If m 4 = 4(y 25), and m 8 = 4y, find y. 8 6 m 8 = m 6 4y = m 6 Corresponding Angles Postulate Definition of congruent angles Substitution
35 Find Values of Variables m 6 + m 4 = 180 Supplement Theorem 4y + 4(y 25) = 180 Substitution 4y + 4y 100 = 180 Distributive Property 8y = 280 Add 100 to each side. y = 35 Divide each side by 8. Answer:
36 Find Values of Variables m 6 + m 4 = 180 Supplement Theorem 4y + 4(y 25) = 180 Substitution 4y + 4y 100 = 180 Distributive Property 8y = 280 Add 100 to each side. y = 35 Divide each side by 8. Answer: y = 35
37 A. ALGEBRA If m 1 = 9x + 6, m 2 = 2(5x 3), and m 3 = 5y + 14, find x. A. x = 9 B. x = 12 C. x = 10 D. x = 14
38 A. ALGEBRA If m 1 = 9x + 6, m 2 = 2(5x 3), and m 3 = 5y + 14, find x. A. x = 9 B. x = 12 C. x = 10 D. x = 14
39 B. ALGEBRA If m 1 = 9x + 6, m 2 = 2(5x 3), and m 3 = 5y + 14, find y. A. y = 14 B. y = 20 C. y = 16 D. y = 24
40 B. ALGEBRA If m 1 = 9x + 6, m 2 = 2(5x 3), and m 3 = 5y + 14, find y. A. y = 14 B. y = 20 C. y = 16 D. y = 24
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