ch 4.1 parallel lines and planes ch 4.1 planes standard 1.0 students demonstrate understanding by...

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

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Page 1: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

Ch 4.1Ch 4.1Parallel LinesParallel Linesand Planesand Planes

Ch 4.1 Planes

Standard 1.0Students demonstrate understanding by identifying and giving examples of undefined terms

Learning Target:I will be able to identify relationships between two lines or two planes.

Page 2: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

DefinitionsDefinitions

Ch 4.1 Planes

Page 3: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

Identify Parallel and Skew Relationships

Answer: AD, EH, FG

A. Name all segments parallel to BC.

Ch 4.1 Planes

Page 4: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

Identify Parallel and Skew Relationships

B. Name a segment skew to EH.

Answer: AB, CD, BG, or CF

Ch 4.1 Planes

Page 5: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

C. Name a plane parallel to plane ABG.

Identify Parallel and Skew Relationships

Answer: plane CDE

Ch 4.1 Planes

Page 6: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. plane WTZ

B. plane SYZ

C. plane WXY

D. plane QRX

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

Ch 4.1 Planes

Classwork #1

Page 7: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

B. Name a segment that intersects YZ.

A. XY

B. WX

C. QW

D. RS

Ch 4.1 Planes

Classwork #1

Page 8: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

C. Name a segment that is parallel to RX.

A. ZW

B. TZ

C. QR

D. ST

Ch 4.1 Planes

Classwork #1

Page 9: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

Ch 4.2Ch 4.2Parallel LinesParallel Lines

and Transversalsand Transversals

Ch 4.2

Standard 7.0Students use theorems involving the properties of parallel lines cut by a transversal.

Learning Target:I will be able to name angle pairs formed by parallel lines and transversals.

Page 10: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

Ch 4.2DefinitionsDefinitions

Page 11: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

Classify Angle Pair Relationships

A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: corresponding

Ch 4.2

Page 12: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

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

Ch 4.2

Page 13: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

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

Ch 4.2

Page 14: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

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

Ch 4.2

Page 15: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

A. Classify the relationship between 4 and 5.

Ch 4.2

Classwork #2

Page 16: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

B. Classify the relationship between 7 and 9.

Ch 4.2

Classwork #2

Page 17: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

C. Classify the relationship between 4 and 7.

Ch 4.2

Classwork #2

Page 18: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. alternate interior

B. alternate exterior

C. corresponding

D. consecutive interior

D. Classify the relationship between 2 and 11.

Ch 4.2

Classwork #2

Page 19: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

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.

Ch 4.2

Page 20: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

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.

Ch 4.2

Page 21: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

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.

Ch 4.2

Page 22: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. lines c, f

B. lines c, d, e

C. lines c, d, f

D. lines c, d, e, f

A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

Ch 4.2

Classwork #3

Page 23: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. no lines

B. lines c, f

C. lines c, d, e, f

D. lines a, c, d, e, f

B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

Ch 4.2

Classwork #3

Page 24: Ch 4.1 Parallel Lines and Planes Ch 4.1 Planes Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms Learning

A. no lines

B. lines a, b, d, e, f

C. lines a, d, f

D. lines a, b, e

C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

Ch 4.2

Classwork #3