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**Parallel Lines and Transversals Angles and Parallel Lines**

Chapter 3.1 & 3.2

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Concept

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**Example 1 A. Name all segments parallel to BC.**

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

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**Example 1 B. Name a segment skew to EH.**

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

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**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

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**A. Name a plane that is parallel to plane RST.**

A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX

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**B. Name a segment that intersects YZ.**

A. XY B. WX C. QW D. RS

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**C. Name a segment that is parallel to RX.**

A. ZW B. TZ C. QR D. ST

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**Corresponding angles:**

Alternate Interior Angles: Alternate Exterior Angles: Consecutive Interior Angles:

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Concept

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**Use Corresponding Angles Postulate**

A. In the figure, m11 = 51. Find m15. Tell which postulates (or theorems) you used.

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**Use Corresponding Angles Postulate**

B. In the figure, m11 = 51. Find m16. Tell which postulates (or theorems) you used.

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**Use Theorems about Parallel Lines**

FLOOR TILES The diagram represents the floor tiles in Sophia’s house. If m2 = 125, find m3.

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**A. In the figure, a || b and m18 = 42. Find m22.**

C. 48 D. 138

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

C. 48 D. 138

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**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 m2 = 125, find m4. A. 25 B. 55 C. 70 D. 125

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**Answer: y = 35 B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y.**

Find Values of Variables B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y. Answer: y = 35

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

A. x = 9 B. x = 12 C. x = 10 D. x = 14

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

A. y = 14 B. y = 20 C. y = 16 D. y = 24

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Concept

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3.2: Properties of Parallel Lines 1. Today’s Objectives Understand theorems about parallel lines Use properties of parallel lines to find angle measurements.

3.2: Properties of Parallel Lines 1. Today’s Objectives Understand theorems about parallel lines Use properties of parallel lines to find angle measurements.

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