Question

The following set of coordinates represents which figure?

(8, 8), (6, 6), (8, 4), (10, 6)
Select one:
a. Parallelogram
b. Rectangle
c. Rhombus
d. Square

Answer 1

Square Option D

Explanation:

We have four coordinates,

A(8,8)

B(6,6)

C(8,4)

D(10,6)

Find the distance between AB, BC, CD & DA

Distance formula is:

`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

AB =
`AB=\sqrt{(6-8)^(2)+ (6-8)^(2) }`

`AB=2√(2)`

Similarly,

`BC=2√(2)`

`CD=2√(2)`

`DA=2√(2)`

All sides are same & slopes are also same.

So, set of coordinates are represent the square.

Answer 2

the true answer is unique: d: square
place all points on (o, i j ) basis