Question

Show that the bisectors of angles of a parallelogram form a rectangle. ​

Answer 1

Answer:

Step-by-step explanation:

In ADS,

DAS + ADS =  

(A and D are interior angles on the same side of the transversal)

Also in ADS,DAS + ADS + DSA = 180o (angle sum property)

Similarly, it can be shown that APB or SPQ = 90o

Also, SRQ = RQP = 90o

Hence, PQRS is a rectangle.