Question

In a circle if two chords are congruent then their corresponding minor arcs and major arcs are ..........

Answer 1

Answer:

minor arcs and major arcs are EQUAL

Step-by-step explanation:

Let say AB  & CD are two chords

lets find their minor arc

Join A & B point with O (center of circle)

& Join C & D point with O (center of circle)

now we get

Δ OAB  & ΔOCD

OA = OC  ( Radius of circle)

OB = OD (Radius of circle)

AB = CD  (given)

=> Δ OAB  ≅ ΔOCD

=> ∠AOB = ∠COD

=> as arc angles are equal

=> Minor arcs are equal

as Major arc = Circumference - Minor arc

=> Major arcs are also equal

minor arcs and major arcs are EQUAL

Answer 2

Answer:

Step-by-step explanation:

Equal in length,this is the arc property