Maharashtra State BoardSSC (English Medium) 8th Standard

The diameters PQ and RS of the circle with centre C are perpendicular to each other at C. state, why arc PS and arc SQ are congruent. Write the other arcs which are congruent to arc PS. - Mathematics

Advertisements
Advertisements
Sum

The diameters PQ and RS of the circle with centre C are perpendicular to each other at C. state, why arc PS and arc SQ are congruent. Write the other arcs which are congruent to arc PS.

Advertisements

Solution

PQ perpendicular to RS.

∠PCS = ∠SCQ = 90°

⇒ arc (PS) = arc (QS)

We know that if the measures of two arcs of circle are same then two arcs are congruent.

⇒ arc (PS) ≅ arc (QS)

Similarly, 

⇒ arc (PS) ≅ arc (PR) ≅ arc (RQ)

Concept: Arcs Corresponding to the Chord of a Circle
  Is there an error in this question or solution?
Chapter 17: Circle : Chord and Arc - Practice Set 17.2 [Page 118]

APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 17 Circle : Chord and Arc
Practice Set 17.2 | Q 1 | Page 118
Share
Notifications



      Forgot password?
Use app×