Question

1) prove that equal chords of a circle Subtend equal angles at the centre
2) Two congruent circles with centers o and p. intersect at two points x and y .then Lxoy=Lxpy, write true or false ,and justify your answer ​

Answer 1

Answer:

this is the answer

Answer 2

1)When equal chords subtend at the centre they form a triangle,

The triangles are congruent by SSS congruence rule (radii, equal chords)

by CPCT , angles subtended by the same chords are equal.

2)True

Draw a line joining x and y ,

Consider Δxoy and Δxpy

xy = xy (common)

xo = xp (radii of congruent circle)

yo = yp (radii of congruent circle)

⇒Δxoy ≅ Δxpy (SSS congruence rule)

∠xoy = ∠xpy (CPCT)