In the following figure, ABCD is a parallelogram and BD is a diagonal. Find the value of r degree…
Share
In the following figure, ABCD is a parallelogram and BD is a diagonal. Find the value of r degree…
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
[tex]\huge \sf {\orange {\underline {\pink{\underline {ANSWER☆ :-}}}}}[/tex]
Consider the diagram given in the question.
As we know, the diagonals of a parallelogram bisect each other.
Therefore,
⇒AC and BD bisect each other at point O.
Thus,⇒OA=OC and OB=OD
Now, consider points P and Q.
⇒BP=PQ=DQ ---- (1)
(1)Now, since OB=OD,
soPB+OP=OQ+DQFrom equation (1),
DQ+OP=OQ+DQ∴OP=OQ
Thus, AC and PQ bisects each other.
Thus, APCQ is a parallelogram, because both the diagonals bisect each other. Also, since, CQ and AP are the opposite sides of the parallelogram APCQ, they are parallel to each other.
[tex] \huge \mathbb \red {Hence \: proved \:}[/tex]
Answer:
\huge \sf {\orange {\underline {\pink{\underline {ANSWER☆ :-}}}}}
ANSWER☆:−
Consider the diagram given in the question.
As we know, the diagonals of a parallelogram bisect each other.
Therefore,
⇒AC and BD bisect each other at point O.
Thus,⇒OA=OC and OB=OD
Now, consider points P and Q.
⇒BP=PQ=DQ ---- (1)
(1)Now, since OB=OD,
soPB+OP=OQ+DQFrom equation (1),
DQ+OP=OQ+DQ∴OP=OQ
Thus, AC and PQ bisects each other.
Thus, APCQ is a parallelogram, because both the diagonals bisect each other. Also, since, CQ and AP are the opposite sides of the parallelogram APCQ, they are parallel to each other.
\huge \mathbb \red {Hence \: proved \:}Henceproved