Question

The points (5, 3), (3, -4), (10, 3), and (8, -4) are the vertices of a polygon. What type of polygon is formed by these points?

A) Kite
B) Parallelogram
C) Pentagon
D) Trapezoid

Answer 1

The given coordinate is formed parallelogram.

B is correct.

Explanation:

The points (5, 3), (3, -4), (10, 3), and (8, -4) are the vertices of a polygon.

Please see the attachment for point plot and name of coordinate

A(5,3) B(3,-4) C(8,-4) D(10,3)

First we find the slope of two points

`\text{Slope AB}=(3+4)/(5-3)=(7)/(2)`

`\text{Slope BC}=(-4+4)/(8-3)=0`

`\text{Slope CD}=(4+3)/(10-8)=(7)/(2)`

`\text{Slope AD}=(3-3)/(10-5)=0`

Slope of AB=Slope of CD=7/2

Slope of BC=Slope of AD=0

Opposite sides are parallel. Possible option is parallelogram.

Hence, The given coordinate is formed parallelogram.

Answer 2

Opposite sides are parallel. An appropriate choice is ...

B) Parallelogram