Question

6. Show that points A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are vertices of a
rhombus ABCD.


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Answer 1

Answer:

rhombus has its diagonal equal by it we can find the sides if sides are equal then it is a rhombusABCD

Answer 2

Answer:

Given In ΔABC, BM ⊥ AC and CN ⊥ AB.

To prove Points B, C, M and N are con-cyclic.

Construction Draw a circle passing through the points B, C, M and N.

Proof Suppose, we consider SC as a diameter of the circle. Also, we know that SC subtends a 90° to the circle.

So, the points M and N should be on a circle.

Hence, BCMN form a con-cyclic quadrilateral. Hence proved.