Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

A point O is taken inside an equilateral four sided figure ABCD such that its distances from the angular points D and B are equal. Show that AO and OC are in one and the same straight line.
Asked by Topperlearning User | 10 Aug, 2017, 12:36: PM
answered-by-expert Expert Answer
In AOD and AOB
AD = AB                                             (given)
AO =AO                                             (common side)
OD = OB                                             (given)
AOD  AOB                          (SSS congruence rule)
 AOD = AOB                          (c.p.c.t)
Similarly, DOC BOC                (SSS congruence rule)
DOC = BOC                           (c.p.c.t)
AOD + AOB + DOC + BOC = 360o         (angles at a point)
2AOD + 2DOC = 360o
AOD + DOC = 180o
Hence, AO and OC are in one and the same straight line.
Answered by | 10 Aug, 2017, 02:36: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
file
question image
Asked by maheshpatil2067 | 14 Jan, 2024, 04:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
solution
question image
Asked by harshitpal2115 | 30 Dec, 2023, 02:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
be and CF are two traiangle equal altitude of triangle abc using rhs congruence rule prove that the triangle abc is isosceles
Asked by arahant2008 | 07 Oct, 2021, 09:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
in an isosceles triangle ABC with AB=AC, the bisectors of angleB and angle C intersect each other at o. Join A at O. show that Ob= OC that
question image
Asked by sharan192006 | 10 Sep, 2020, 03:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
How to proove RHS congruence 
Asked by Nimmi | 26 Jan, 2019, 05:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In the given figure, BAAC and DEEF such that BA = DE and BF = DC. Prove that AC = EF.
Asked by Topperlearning User | 10 Aug, 2017, 12:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
ABC is an isosceles triangle with AB = AC. Bisectors of B and C intersect at O. Prove that BO = CO and AO bisects BAC.
Asked by Topperlearning User | 10 Aug, 2017, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
ABCD is a square, X and Y are the points on the sides AB and DC respectively such that BY = CX. Prove that CY = BX and CBY = BCX.
Asked by Topperlearning User | 10 Aug, 2017, 12:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In an isosceles triangle, prove that the altitude from the vertex divides the triangle into two congruent triangles..
Asked by Topperlearning User | 10 Aug, 2017, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
AD is the median of ABC. If BL and CM are drawn perpendiculars on AD produced, prove that BL= CM.
Asked by Topperlearning User | 10 Aug, 2017, 12:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×