Parallel lines and transversals angles and parallel lines
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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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Parallel lines and transversals angles and parallel lines

Parallel Lines and Transversals

Angles and Parallel Lines

Chapter 3.1 & 3.2



Example 1

A. Name all segments parallel to BC.

Identify Parallel and Skew Relationships

Example 1


Example 11

B. Name a segment skew to EH.

Identify Parallel and Skew Relationships

Example 1


Example 12

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:



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



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