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Ch 4.1 Parallel Lines and Planes

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Presentation on theme: "Ch 4.1 Parallel Lines and Planes"— Presentation transcript:

1 Ch 4.1 Parallel Lines and Planes
Learning Target: I will be able to identify relationships between two lines or two planes. Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms

2 Ch 4.1 Planes Definitions

3 Ch 4.1 A. Name all segments parallel to BC. Answer: AD, EH, FG Planes
Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: AD, EH, FG Example 1

4 Ch 4.1 B. Name a segment skew to EH. Answer: AB, CD, BG, or CF Planes
Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF Example 1

5 Ch 4.1 C. Name a plane parallel to plane ABG. Answer: plane CDE Planes
Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: plane CDE Example 1

6 Ch 4.1 Classwork #1 A. Name a plane that is parallel to plane RST.
Planes Classwork #1 A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX Example 1a

7 Ch 4.1 Classwork #1 B. Name a segment that intersects YZ. A. XY B. WX
Planes Classwork #1 B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS Example 1b

8 Ch 4.1 Classwork #1 C. Name a segment that is parallel to RX. A. ZW
Planes Classwork #1 C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST Example 1c

9 Ch 4.2 Parallel Lines and Transversals
Learning Target: I will be able to name angle pairs formed by parallel lines and transversals. Standard 7.0 Students use theorems involving the properties of parallel lines cut by a transversal.

10 Ch 4.2 Definitions

11 Ch 4.2 Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding Example 2

12 Ch 4.2 Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate exterior Example 2

13 Ch 4.2 Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: consecutive interior Example 2

14 Ch 4.2 Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate interior Example 2

15 Ch 4.2 Classwork #2 A. Classify the relationship between 4 and 5.
A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a

16 Ch 4.2 Classwork #2 B. Classify the relationship between 7 and 9.
A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b

17 Ch 4.2 Classwork #2 C. Classify the relationship between 4 and 7.
A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c

18 Ch 4.2 Classwork #2 D. Classify the relationship between 2 and 11.
A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d

19 Ch 4.2 Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 1 and 2. Then classify the relationship between the pair of angles. Answer: The transversal connecting 1 and 2 is line v. These are corresponding angles. Example 3

20 Ch 4.2 Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 2 and 3. Then classify the relationship between the pair of angles. Answer: The transversal connecting 2 and 3 is line v. These are alternate interior angles. Example 3

21 Ch 4.2 Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 4 and 5. Then classify the relationship between the pair of angles. Answer: The transversal connecting 4 and 5 is line y. These are consecutive interior angles. Example 3

22 Ch 4.2 Classwork #3 A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal. A. lines c, f B. lines c, d, e C. lines c, d, f D. lines c, d, e, f Example 3a

23 Ch 4.2 Classwork #3 B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal. A. no lines B. lines c, f C. lines c, d, e, f D. lines a, c, d, e, f Example 3b

24 Ch 4.2 Classwork #3 C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal. A. no lines B. lines a, b, d, e, f C. lines a, d, f D. lines a, b, e Example 3c


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