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CCSS
Content StandardsG.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 Practices1 Make sense of problems and persevere in solving them.3 Construct viable arguments and critique the reasoning of others.
Then/Now
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.
Vocabulary
• parallel lines• skew lines• parallel planes• transversal• interior angles• exterior angles
• consecutive interior angles
• alternate interior angles
• alternate exterior angles
• corresponding angles
Example 1a
A. plane WTZ
B. plane SYZ
C. plane WXY
D. plane QRX
A. Name a plane that is parallel to plane RST.
Example 2A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: corresponding
Example 2B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate exterior
Example 2C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: consecutive interior
Example 2D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate interior
Example 2a
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
A. Classify the relationship between 4 and 5.
Example 2b
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
B. Classify the relationship between 7 and 9.
Example 2c
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
C. Classify the relationship between 4 and 7.
Example 2d
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
D. Classify the relationship between 2 and 11.
Example 3A. 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 3B. 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.