1.

2. In the following figure, ABCD is a parallelogram and BD is a diagonal. Find thevalue of r degreeCor397p5p​

Answer»

<P>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.

Step-by-step explanation:


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