In quadrilateral if each pair of opposite angles are equal then it is a parallelogram
Answers
Answered by
5
yes.................
Given : A quad.ABCD in which AB=CD and AD=BE
To prove: ABCD IS a parallelogram,
construction : join A to C
proof: In triangle ABC and CDA, we have
AB= CD. (given)
BC=AD (given )
AC=AC (common)
so,triangle ABC congruent CDA
SO, Angle BAC = Angle DCA.
But, these are alternate interior angle.
So, AB||DCA. similarly AD||BC.
Hence, ABCD IS A ||GRAM
Given : A quad.ABCD in which AB=CD and AD=BE
To prove: ABCD IS a parallelogram,
construction : join A to C
proof: In triangle ABC and CDA, we have
AB= CD. (given)
BC=AD (given )
AC=AC (common)
so,triangle ABC congruent CDA
SO, Angle BAC = Angle DCA.
But, these are alternate interior angle.
So, AB||DCA. similarly AD||BC.
Hence, ABCD IS A ||GRAM
pallavi32003:
What yes
it is true
I explain the question. if you agree so,please press Brianlist
Answered by
1
true
if each pair of opposite angles are equal then it is a parallelogram
if each pair of opposite angles are equal then it is a parallelogram
Mark as BRAINLIEST ANSWER PLEASE
Please solve this theorem
Then I will
first you Mark it as BRAINLIEST ANSWER
I will solve the theorem
when you will mark
Similar questions