Unit 27 · Chords and Arcs
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Topics covered
- Theorem 27.1 — congruent arcs of a circle (or of congruent circles) have equal corresponding chords
- Theorem 27.2 — the converse: equal chords have congruent corresponding arcs
- Theorem 27.3 — equal chords of a circle (or of congruent circles) subtend equal angles at the centre, with its corollaries
- Theorem 27.4 — the converse: equal central angles produce equal chords
- Applying these theorems together (e.g. to prove perpendicular diameters form a square) and to solve numerical problems
- The special relationship between a chord and the radius when the chord subtends a 60° or 180° central angle
- Recap of chord, arc, segment, sector, and circumference terminology from the earlier circle chapters
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