Question
If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of other chord.
Found 8 tutors discussing this question
Discuss this question LIVE
6 mins ago
Text solutionVerified
Drop a perpendicular from to both chords and
In and
As chords are equal, perpendicular from centre would also be equal.
is common.
(RHS Congruence)
......................(1)
(Perpendicular from centre bisects the chord)
Similarly ,
As
.........................(2)
From (1) and (2)
(Half the length of equal chords are equal)
Therefore , and is proved.
Was this solution helpful?
151
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Question 1
PA and PB are two tangents drawn from an external point P to a circle with centre C and radius=4cm If then length of each tangent isQuestion 2
Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively.Column I, Column 2, Column 3I, , (i), , (P), II, , (ii), , (Q), III, , (iii), , (R), IV, , (iv), , (S), If a tangent to a suitable conic (Column 1) is found to be and its point of contact is (8,16), then which of the followingoptions is the only CORRECT combination?(III) (ii) (Q) (b) (II) (iv) (R)(I) (ii) (Q) (d) (III) (i) (P)Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of other chord. |
Answer Type | Text solution:1 |
Upvotes | 151 |