SOLUTION: Unit 3 Parallel & Perpendicular Lines & Transversals ... - Free Printable

Looking at the worksheet, I need to verify the answers provided by the student.

Let me go through each question carefully:

Question 1: Using the 3D diagram

a) Segments parallel to XT: Looking at the rectangular prism, XT is a vertical edge. The parallel segments would be WS, ZV, and YU. ✓ Correct

b) Segments parallel to ZY: ZY is a top edge going left-right. Parallel segments would be WX, VU, and ST. ✓ Correct

c) Segments parallel to VS: VS is a bottom edge going front-back. Parallel segments would be ZW and YX. ✓ Correct

d) Plane parallel to plane STU: STU is the bottom face. The parallel plane would be ZWX (the top face). ✓ Correct

e) Plane parallel to plane UVZ: UVZ is the left face. The parallel plane would be STX (the right face). ✓ Correct

f) Segments skew to SW: Skew lines are neither parallel nor intersecting. For SW, the skew segments would be YX, UT, and VS. ✓ Correct

g) Segments skew to UT: For UT, the skew segments would be XT, WS, and ZV. ✓ Correct

Question 2: Describe relationships

a) AB and BC: These are adjacent sides of a triangle that meet at point B, so they intersect. ✗ Incorrect - should be "intersecting"

b) AE and BF: These are corresponding edges on opposite sides of the prism and run in the same direction. ✓ Correct - parallel

c) EF and AD: These are on different faces and don't intersect or run parallel. ✓ Correct - skew

Bottom section: Classify angle pairs

All classifications appear correct:
- Alternate interior
- Corresponding exterior
- Corresponding
- Consecutive interior
- Corresponding
- Alternate exterior

The only error is in Question 2a - AB and BC intersect at point B, so they are intersecting, not skew.

Final Answer: The student's answers are mostly correct. The only error is in Question 2a - AB and BC are intersecting (they meet at point B), not skew. All other answers are accurate.