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Q: If mPQR 125 and mPQS 85 what is the measure of RQS?
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Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

Congruent triangles: Take a parallelogram PQRS. Draw in the diagonals PR and QS. Let the point where the diagonals meet be M, Consider one pair of the parallel sides, PS and QR, say. Consider angles PSQ and RQS: As PS and QR are parallel they are equal (Z- or alternate angles). Now consider angles SPR and QRP: As PS and QR are parallel they are equal (z- or alternate angles). As PS and QR are opposite sides of a parallelogram they are equal in length; thus the triangles PMS and RMQ are congruent (Angle-Angle-Side). As the two triangle are congruent, equivalent sides are equal in length. Thus QM is the same length as MS and PM is the same length as MR As QM is the same length as MS and QMS lie on a straight line, M must be the mid point of QS, ie the diagonal PQ bisects the diagonal QS Similarly PM is the same length as MR and PMR lie on a straight line, thus M must be the mid point of PR, ie the diagonal QS bisects the diagonal PR Therefore the diagonals of a parallelogram bisect each other.


What does IRQ stand for?

Abbreviation of interrupt request line, and pronounced I-R-Q. IRQs are hardware lines over which devices can send interrupt signals to the microprocessor. When you add a new device to a PC, you sometimes need to set its IRQ number by setting a DIP switch. This specifies which interrupt line the device may use. IRQ conflicts used to be a common problem when adding expansion boards, but the Plug-and-Play specification has removed this headache in most cases.see: http://www.webopedia.com/TERM/I/IRQ.html