The angle bisector characterization
- Equally far from both roads — 3 tasks
- Which segment is the distance — 3 tasks
- The two distances from a point on the bisector — 6 tasks
- Running the rule backwards — 3 tasks
- Going Deeper — 9 tasks
- Practice — 19 tasks
- Summary — 2 tasks
- Cool-down — 3 tasks
Classroom activities
Things a class does rather than writes on. Each one is a finished PDF: print it, cut it up if it says so, and hand it round.
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The Angle Bisector Characterization — Cut & Glue Sort 25 minutes, including the cutting · 5 sheets
12 figures to cut out and glue into 3 rows — the marks force the two distances equal, the marks put the dot on the bisector, or there is no way to tell — and the bottom row fails in 4 different ways, not one.
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The Angle Bisector Characterization — Answer Maze 10–15 minutes · 4 sheets
One page and nothing to prepare: two arcs at the corner and two little squares, and each box asks which of those the figure actually gives you before it will let you on — the row of box numbers at the foot marks the sheet in a glance.
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The Angle Bisector Characterization — Mystery Picture 25–35 minutes · 4 sheets
25 figures and no numbers anywhere: fill the square with slanted lines where the marks force the dot to be the same distance from both sides of the angle, leave it white where they do not, and a picture appears.