Bell Ringer Quiz 1 Choose the plane parallel

• Bell Ringer Quiz 1) Choose the plane parallel to plane MNR 2) Classify the relationship between the angles 1) Angle 1 and Angle 5 2) Angle 8 and Angle 3 3) Angle 6 and Angle 4 3) The measures of two complementary angles are x + 54 and 2 x. What is the measure of the each angle?

• Groupwork: P 176 #14 -36 even • Turn in on one sheet with all group members names. Once you are done you will receive the homework.

• Bellringer 1) P 178 #55 Show Work 2) Copy the postulates from 3 -2 on your postulate sheet or into your notebook

Use Corresponding Angles Postulate A. In the figure, m 11 = 51. Find m 15. Tell which postulates (or theorems) you used. 15 11 Corresponding Angles Postulate m 15 = m 11 Definition of congruent angles m 15 = 51 Substitution Answer: m 15 = 51

Use Corresponding Angles Postulate B. In the figure, m 11 = 51. Find m 16. Tell which postulates (or theorems) you used. 16 15 Vertical Angles Theorem 15 11 Corresponding Angles Postulate 16 11 Transitive Property ( ) m 16 = m 11 Definition of congruent angles m 16 = 51 Answer: m 16 = 51 Substitution

A. In the figure, a || b and m 18 = 42. Find m 22. A. 42 B. 84 C. 48 D. 138

B. In the figure, a || b and m 18 = 42. Find m 25. A. 42 B. 84 C. 48 D. 138

Use Theorems about Parallel Lines FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m 2 = 125, find m 3. 2 3 m 2 = m 3 125 = m 3 Alternate Interior Angles Theorem Definition of congruent angles Substitution Answer: m 3 = 125

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

Find Values of Variables A. ALGEBRA If m 5 = 2 x – 10, and m 7 = x + 15, find x. 5 7 m 5 = m 7 2 x – 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.

Find Values of Variables B. ALGEBRA If m 4 = 4(y – 25), and m 8 = 4 y, find y. 8 6 Corresponding Angles Postulate m 8 = m 6 Definition of congruent angles 4 y = m 6 Substitution

Find Values of Variables m 6 + m 4 = 180 Supplement Theorem 4 y + 4(y – 25) = 180 Substitution 4 y + 4 y – 100 = 180 Distributive Property 8 y = 280 Add 100 to each side. y = 35 Divide each side by 8. Answer: y = 35

A. ALGEBRA If m 1 = 9 x + 6, m 2 = 2(5 x – 3), and m 3 = 5 y + 14, find x. A. x = 9 B. x = 12 C. x = 10 D. x = 14

B. ALGEBRA If m 1 = 9 x + 6, m 2 = 2(5 x – 3), and m 3 = 5 y + 14, find y. A. y = 14 B. y = 20 C. y = 16 D. y = 24