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PLEASE HELP DONT JUST GUESS JUST TO GET POINTS LOL Plot any four points on the coordinate plane and connect them to form a quadrilateral. Find the midpoint of each side of the quadrilateral and connect consecutive midpoints to form a new quadrilateral. What type of quadrilateral is formed? Repeat the process by starting with a different set of four points. Do you get the same result? Complete the conjecture about your findings.

The quadrilateral formed by this process will always be a

A)Trapezoid that is not a parallelogram
B) square
C)rectangle
D)parallelogram


Sagot :

The quadrilateral formed by this process will always be a parallelogram

Quadrilaterals

A quadrilateral is simply any polygon that has four sides and four corners.

Common examples are:

  • Square
  • Rectangle
  • Rhombus
  • Kite
  • Trapezoid
  • Rhombus
  • Parallelogram

Figure 1

A square is drawn at the coordinates:

(0,0), (6,0), (0,6) and (6,6)

The midpoints of the square sides are at the following coordinates:

(0,3), (3,6), (6,3) and (3,0)

When the points of the midpoints are joined together, they form a parallelogram

Figure 2

A trapezoid is drawn at the coordinates:

(0,0), (2,6), (8,6) and (10,0)

The midpoints of the square sides are at the following coordinates:

(5,0), (5,6), (1,3) and (9,3)

When the points of the midpoints are joined together, they form a parallelogram

Hence, the quadrilateral formed by this process will always be a parallelogram

Read more about quadrilaterals and parallelograms at:

https://brainly.com/question/1190071

View image MrRoyal
View image MrRoyal