Download presentation

Presentation is loading. Please wait.

Published byHeidi Maslyn Modified over 3 years ago

1
Then/Now 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.

2
Concept

3
**Use Corresponding Angles Postulate**

Example 1 A. In the figure, m11 = 51. Find m15. Tell which postulates (or theorems) you used. What is the relationship between < 11 and < 15? 15 11 Corresponding Angles Postulate m15 = m11 Definition of congruent angles m15 = 51 Substitution m< 15 = 51

4
**Use Corresponding Angles Postulate**

Example 1 B. In the figure, m11 = 51. Find m16. Tell which postulates (or theorems) you used. 16 15 Vertical Angles Theorem 15 11 Corresponding Angles Postulate 16 11 Transitive Property () m16 = m11 Definition of congruent angles m16 = 51 Substitution

5
**Example 1b B. In the figure, a || b and m18 = 42. Find m25. A. 42**

C. 48 D. 138

6
Concept

7
Example 2 Use Theorems about Parallel Lines FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m2 = 125, find m3. 2 3 Alternate Interior Angles Theorem m2 = m3 Definition of congruent angles 125 = m3 Substitution Answer: m3 = 125

8
Example 2 FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m2 = 125, find m4. A. 25 B. 55 C. 70 D. 125

9
Skills Packet Do #4 - #6

10
**Example 3 A. ALGEBRA If m5 = 2x – 10, and m7 = x + 15, find x.**

Find Values of Variables Example 3 A. ALGEBRA If m5 = 2x – 10, and m7 = x + 15, find x. 5 7 Corresponding Angles Postulate m5 = m7 Definition of congruent angles 2x – 10 = x Substitution x – 10 = 15 Subtract x from each side. x = 25 Add 10 to each side. Answer: x = 25

11
**Example 3 B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y.**

Find Values of Variables Example 3 B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y. 8 6 Corresponding Angles Postulate m8 = m6 Definition of congruent angles 4y = m6 Substitution

12
**Example 3 m6 + m4 = 180 Supplement Theorem**

Find Values of Variables Example 3 m6 + m4 = 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

13
Example 3 A. ALGEBRA If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find x.

14
Skills Packet Do #7 - #11

Similar presentations

OK

Transversal t intersects lines s and c. A transversal is a line that intersects two coplanar lines at two distinct points.

Transversal t intersects lines s and c. A transversal is a line that intersects two coplanar lines at two distinct points.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on acid-base titration lab report Ppt on current account deficit and exchange Ppt on environment and sustainable development class 11 Ppt on case study change management Ppt on 14 principles of henri fayol unity Ppt on centre of mass Ppt on environmental studies Ppt on porter's five forces model Ppt on power sharing in india download film Ppt on construction company profile