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dalvyx [7]
2 years ago
8

PLEASE HELP DONT JUST GUESS JUST TO GET POINTS LOL Plot any four points on the coordinate plane and connect them to form a quadr

ilateral. 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
Mathematics
1 answer:
sveticcg [70]2 years ago
5 0

The quadrilateral formed by this process will always be a parallelogram

<h3>Quadrilaterals</h3>

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

Common examples are:

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

<h3>Figure 1</h3>

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

<h3>Figure 2</h3>

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:

brainly.com/question/1190071

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Length = 16 or -5 feet.

Width = 5 or -16 feet.

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Let the length of the concrete pad = l

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<u>Given the following data;</u>

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Translating the word problem into an algebraic equation, we have;

l = 11 + w

<em>We know that, the area of rectangle, A = length * width</em>

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<em>Substituting the values into the equation, we have;</em>

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(w - 5)(w + 16) = 0

Width, w = 5 feet or w = -16 feet.

<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>

<em>To find its length, l;</em>

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When w = 5 feet

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Solution given;

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