I hope you don't mind that I'm just going to give you some hints.
>1. If ON=4x-5, LM=2x+4, NM=x+5, and OL=8y-7, find the values of x and >y given that LMNO is a parallelogram. > >a)x=-1/2;y= 23/16 >b)x=2;y=-16/33 >c)x=9/2;y=33/16 >d)x=9/2;y=-16/33
For this and #3, the key property of parallelograms to consider is that opposite sides have equal length.
>2.Consider the statement, "if a parallelogram is a square,then it is a >rhombus." > >a)decide whether it is true or false. >b)Write a converse >c)decide whether the converse is true or false.
For part a), if you can understand why, for example, all squares are rectangles (because squares satisfy all of the conditions for being a rectangle), but not all rectangles are squares, you can answer this. For parts b) and c), start by looking up "converse." The converse here will start with "If a parallelogram is a rhombus, . . . "
>3.draw figure in a coordinate plane and write a coordinate proof >Given: Quadrilateral ABCD with A (-5,0), B (3,-1) C(6,1), D(-2,2) >Prove: ABCD is a parallelogram > >i drew the figure but i dont know how to do the rest of that one.. and >the other 2 i dont understand how to do.. if someone could please help >me with these thatd be great.. thanks.
Here you can use my hint from 1) along with the Distance Formula, or recall that parallelograms have two pairs of parallel sides and use the formula for slope.