Key Concepts: Parallel and Skew Lines CCSS Then/Now New Vocabulary Key Concepts: Parallel and Skew Lines Example 1: Real-World Example: Identify Parallel and Skew Relationships Key Concepts: Transversal Angle Pair Relationships Example 2: Classify Angle Pair Relationships Lesson Menu
Mathematical Practices Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. CCSS
You used angle and line segment relationships to prove theorems. Identify relationships between two lines or two planes. Name angle pairs formed by parallel lines and transversals. Then/Now
consecutive interior angles alternate interior angles parallel lines skew lines parallel planes transversal interior angles exterior angles consecutive interior angles alternate interior angles alternate exterior angles corresponding angles Vocabulary
Concept
A. Name all segments parallel to BC. Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: Example 1
A. Name all segments parallel to BC. Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: AD, EH, FG Example 1
B. Name a segment skew to EH. Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: Example 1
B. Name a segment skew to EH. Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF Example 1
C. Name a plane parallel to plane ABG. Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: Example 1
C. Name a plane parallel to plane ABG. Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: plane CDE Example 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
A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX Example 1a
B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS Example 1b
B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS Example 1b
C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST Example 1c
C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST Example 1c
Concept
Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2
Answer: corresponding 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
Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2
Answer: alternate exterior 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
Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2
Answer: consecutive interior 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
Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: Example 2
Answer: alternate interior 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
A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a
A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a
B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b
B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b
C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c
C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c
D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d
D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d