Question

JCUUIU A
Q.1
Do as directed:
a)
A parallelogram in which all the sides are equal ano
called a ....
Sw.no
b)
A trapezium whose .no....... sides are equal is call
مال و دوم و
c)
When x and y are in direct proportion, we have :
d)
If x4y5z is exactly divisible by 9, then the le
e)
Yxy = (VW) x (...........)​

Answer 1

✌️❣️_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_,_

Given P is equidistant from points A and B

PA=PB .....(1)

and Q is equidistant from points A and B

QA=QB .....(2)

In △PAQ and △PBQ

AP=BP from (1)

AQ=BQ from (2)

PQ=PQ (common)

So, △PAQ≅△PBQ (SSS congruence)

Hence ∠APQ=∠BPQ by CPCT

In △PAC and △PBC

AP=BP from (1)

∠APC=∠BPC from (3)

PC=PC (common)

△PAC≅△PBC (SAS congruence)

∴AC=BC by CPCT

and ∠ACP=∠BCP by CPCT ....(4)

Since, AB is a line segment,

∠ACP+∠BCP=180

∘

Thus, AC=BC and ∠ACP=∠BCP=90

∘

∴,PQ is perpendicular bisector of AB.

Hence proved.

Tusen Takk ✌️❣️