Question

Is a shape a kite, parallelogram, or a rhombus if it has these coordinates: L: (7,5) M: (5,0) N: (3,5) P: (5,10)?

Answer 1

It is a rhombus.

Explanation:

L:`(7,5)`, M:`(5,0)`, N:`(3,5) and P:`(5,10)#. Let us find length of LM, MN, NP and PL

LM=`sqrt((5-7)^2+(0-5)^2)=sqrt(4+25)=sqrt29`

MN=`sqrt((3-5)^2+(5-0)^2)=sqrt(4+25)=sqrt29`

NP=`sqrt((5-3)^2+(10-5)^2)=sqrt(4+25)=sqrt29`

PL=`sqrt((5-7)^2+(10-5)^2)=sqrt(4+25)=sqrt29`

As all the sides are equal, it is a rhombus.