Question

please solve the question ​

Answer 1

Answer:

In AABC and ADBE,

side AB side DB [Radiiof the

same circle]

side BC side BE ....[Radiiof the

same circle]

ZABC = ZDBE congruent arcs] .... [Measure of

.. AABC = ADBE ... [SAS test of

congruency]

.. chord AC = chord DE

[Corresponding sides of congruent triangles]

Answer 2

Answer:
(a) SAS test
(b) OM = ON

Step-by-step explanation:

Given :-
AB = CD
OM ⊥ AB
ON ⊥ CD

We know that, perpendiculars of the chords from the centre of the circle are also the bisectors of the chords.

∴ MB = 1/2 × AB
∴ ND = 1/2 × CD

⇒ MB = ND

We also know that, distance of equal chords from the centre is equal.

⇒ OM = ON

We are also given that OM ⊥ AB and ON ⊥ CD,

⇒ ∠ OMB = ∠ OND = 90°

Hence, Δ OMB ≅ Δ OND by SAS (Side Angle Side) test. (a)

OM = ON (CPCT - Corresponding Parts of Congruent Triangles) (b)