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Parallel and Intersecting Lines

One line laid across two

A zebra crossing has parallel white bars. A slanted line cuts across all of them.

Two parallel lines, cut by one transversal.
Step 1 of 4
  1. Two parallel lines, cut by one transversal.
  2. Corresponding pair: same corner at each crossing.
  3. Alternate pair: both inside, opposite sides of the transversal.
  4. Co-interior pair: both inside, the same side.

The rule

A line that cuts two other lines is a transversal. Two crossings, four angles each. So a transversal makes eight angles in all. Vertically opposite angles at a crossing are equal. So there are at most four different sizes. The four angles between the two lines are the inside ones.

Three pairs, and how to spot each one fast
NameWhere the two sitLooks like
correspondingsame corner, each crossingletter F
alternateinside, opposite sidesletter Z
co-interior (interior, same side)inside, same sideletter C

The letters only help you spot a pair fast. They do not say if the pair is equal.

Why this matters

Eight angles are a lot to remember. But there are only three names, not eight. Each name tells you where to look. A name is not a fact to memorise on its own.

Two angles are shaded. Tap the name of the pair.

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This track

  1. 0 Start here
  2. 1 Cross once, or never cross
  3. 2 What parallel really means
  4. 3 The four angles at a crossing
  5. 4 Angles that fill a straight line
  6. 5 One line laid across two
  7. 6 Only when the lines are parallel
  8. 7 Finding an angle nobody measured
  9. 8 Square corners: perpendicular lines
  10. 9 Parallels from square corners
  11. 10 A bend between two parallels
  12. 11 Checkpoint: square corners and bends
  13. 12 The big picture
  14. 13 Track quiz

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