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

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

B) Parallelogram

Answer 2

Answer:

The given coordinate is formed parallelogram.

B is correct.

Step-by-step 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

$\text{Slope AB}=\dfrac{3+4}{5-3}=\dfrac{7}{2}$

$\text{Slope BC}=\dfrac{-4+4}{8-3}=0$

$\text{Slope CD}=\dfrac{4+3}{10-8}=\dfrac{7}{2}$

$\text{Slope AD}=\dfrac{3-3}{10-5}=0$

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.