Mathematics 10 — Exercise 8.2 · Q7

Full question

Two congruent circular clocks have strings joining 3 to 9. Are the corresponding arcs congruent?

Step-by-step solution

1. 3 and 9 are opposite ends of a diameter on each clock.

2. Each corresponding arc is a semicircle, with central angle 180°.

3. The clocks have equal radii, so their matching semicircular arcs have equal lengths.

Answer

Yes, corresponding arcs are congruent.