Request a call back

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

CBSE Class 9 Answered

diagonal AC of a parallelogram ABCD bisects ∆A . i . it biseets ∆C also ii . ABCD is a rhombus
Asked by sanskritiraghudev | 19 Feb, 2022, 09:38: AM
Expert Answer
To prove: (i) AC bisects angle C  (ii) ABCD is a parallelogram
left parenthesis straight i right parenthesis
In space increment ADC space and space increment CBA comma
AD space equals space CB space space space... space left parenthesis Opp space sides space of space straight a space llgram right parenthesis
DC space equals space BA space space space... space left parenthesis Opp space sides space of space straight a space llgram right parenthesis
AC space equals space CA space space space... space left parenthesis Common space sides right parenthesis
rightwards double arrow increment ADC approximately equal to increment CBA space space space space... space left parenthesis By space SSS space congruence space rule right parenthesis
rightwards double arrow angle ACD equals angle CAB space space space... space left parenthesis straight A right parenthesis space CPCT
rightwards double arrow angle BCA equals angle CAD space space space... space left parenthesis straight B right parenthesis space CPCT
rightwards double arrow angle CAB equals angle CAD space space space... space left parenthesis straight C right parenthesis space space space space space Given
Thus comma space angle ACD equals angle BCA
Hence comma space AC space bisects space angle straight C.

left parenthesis ii right parenthesis space space angle ACD equals angle CAD
AD space equals space CD space space.... space left parenthesis Sides space opposite space to space equal space angles space are space equal right parenthesis
But comma space AB equals CD space & space AD equals BC space space... space left parenthesis Opp space sides space of space llgram right parenthesis
AB equals BC equals CD equals DA
Hence comma space ABCD space is space straight a space rhombus
Answered by Renu Varma | 24 Feb, 2022, 11:15: AM
CBSE 9 - Maths
Asked by jahnavinehra | 03 Jul, 2022, 11:19: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by sanskritiraghudev | 19 Feb, 2022, 09:38: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by katariayash1212 | 16 Jan, 2020, 07:06: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by deepakrim74 | 09 Mar, 2019, 08:08: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 16 Aug, 2017, 02:17: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 16 Aug, 2017, 02:17: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 16 Aug, 2017, 02:25: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 16 Aug, 2017, 02:19: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 16 Aug, 2017, 02:24: PM
ANSWERED BY EXPERT
Season Break Offer!
Get 60% Flat off instantly.
Avail Now
×