# Chapter 3.1 & 3.2 - PowerPoint PPT Presentation

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Parallel Lines and Transversals Angles and Parallel Lines. Chapter 3.1 & 3.2. Concept. A. Name all segments parallel to BC. Identify Parallel and Skew Relationships. Example 1. B. Name a segment skew to EH. Identify Parallel and Skew Relationships. Example 1.

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Chapter 3.1 & 3.2

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Parallel Lines and Transversals

Angles and Parallel Lines

## Chapter 3.1 & 3.2

### Concept

A. Name all segments parallel to BC.

Identify Parallel and Skew Relationships

### Example 1

B. Name a segment skew to EH.

Identify Parallel and Skew Relationships

### Example 1

Identify Parallel and Skew Relationships

C. Name a plane parallel to plane ABG.

### Example 1

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

A.plane WTZ

B.plane SYZ

C.plane WXY

D.plane QRX

B.Name a segment that intersects YZ.

A.XY

B.WX

C.QW

D.RS

C.Name a segment that is parallel to RX.

A.ZW

B.TZ

C.QR

D.ST

Corresponding angles:

Alternate Interior Angles:

Alternate Exterior Angles:

Consecutive Interior Angles:

### Concept

Use Corresponding Angles Postulate

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

Use Corresponding Angles Postulate

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

Use Theorems about Parallel Lines

FLOOR TILES The diagram represents the floor tiles in Sophia’s house. If m2 = 125, find m3.

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

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

Find Values of Variables

B. ALGEBRA If m4 = 4(y – 25), and m8 = 4y, find y.

Answer: y = 35

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

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