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Parallel Lines and Transversals Angles and Parallel Lines

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1 Parallel Lines and Transversals Angles and Parallel Lines
Chapter 3.1 & 3.2

2 Concept

3 Example 1 A. Name all segments parallel to BC.
Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Example 1

4 Example 1 B. Name a segment skew to EH.
Identify Parallel and Skew Relationships B. Name a segment skew to EH. Example 1

5 Example 1 C. Name a plane parallel to plane ABG.
Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Example 1

6 A. Name a plane that is parallel to plane RST.
A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX

7 B. Name a segment that intersects YZ.
A. XY B. WX C. QW D. RS

8 C. Name a segment that is parallel to RX.
A. ZW B. TZ C. QR D. ST

9 Corresponding angles:
Alternate Interior Angles: Alternate Exterior Angles: Consecutive Interior Angles:

10 Concept

11

12 Use Corresponding Angles Postulate
A. In the figure, m11 = 51. Find m15. Tell which postulates (or theorems) you used.

13 Use Corresponding Angles Postulate
B. In the figure, m11 = 51. Find m16. Tell which postulates (or theorems) you used.

14 Use Theorems about Parallel Lines
FLOOR TILES The diagram represents the floor tiles in Sophia’s house. If m2 = 125, find m3.

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

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

17 FLOOR TILES The diagram represents the floor tiles in Silvio’s house
FLOOR TILES The diagram represents the floor tiles in Silvio’s house. If m2 = 125, find m4. A. 25 B. 55 C. 70 D. 125

18 Answer: y = 35 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. Answer: y = 35

19 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

20 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

21 Concept


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