Bell Ringer Quiz Choose the plane parallel to plane MNR

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Presentation transcript:

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

Groupwork: P176 #14-36 even Turn in on one sheet with all group members names. Once you are done you will receive the homework.

Bellringer P178 #55 Show Work Copy the postulates from 3-2 on your postulate sheet or into your notebook

Concept

15  11 Corresponding Angles Postulate 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 Example 1

16  15 Vertical Angles Theorem 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 Substitution Answer: m16 = 51 Example 1

A. In the figure, a || b and m18 = 42. Find m22. C. 48 D. 138 Example 1a

B. In the figure, a || b and m18 = 42. Find m25. C. 48 D. 138 Example 1b

Concept

Concept

2  3 Alternate Interior Angles Theorem 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 Alternate Interior Angles Theorem m2 = m3 Definition of congruent angles 125 = m3 Substitution Answer: m3 = 125 Example 2

FLOOR TILES The diagram represents the floor tiles in Michelle’s house 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 Example 2

A. ALGEBRA If m5 = 2x – 10, and m7 = x + 15, find x. Find Values of Variables A. ALGEBRA If m5 = 2x – 10, and m7 = x + 15, find x. 5  7 Corresponding Angles Postulate m5 = m7 Definition of congruent angles 2x – 10 = x + 15 Substitution x – 10 = 15 Subtract x from each side. x = 25 Add 10 to each side. Answer: x = 25 Example 3

B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y. Find Values of Variables B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y. 8  6 Corresponding Angles Postulate m8 = m6 Definition of congruent angles 4y = m6 Substitution Example 3

m6 + m4 = 180 Supplement Theorem 4y + 4(y – 25) = 180 Substitution 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 Example 3

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 Example 3

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 Example 3

Concept

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