Question

Choose the best selection for the

quadrilateral with vertices at the
following points:
(4,0), (8,0), (4,-4), (8,-4)
Hint: Start by graphing the points.
Distance Formula: d= √(x2-x1)² + (y2-y1)²
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid

Answer 1

B. Square

Explanation:

The quadrilateral has all sides of equal length and the diagonals are also of equal length. This suggests that it is a square. A square is a type of quadrilateral where all four sides are of equal length and all angles are 90 degrees. In this case, all sides are of length 4 units.

Answer 2

B. Square

Explanation:

Finding the side lengths :

Side 1

⇒ d₁ = √(-4 - 0)² + (8 - 8)²

⇒ d₁ = √16

⇒ d₁ = 4

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Side 2

⇒ d₂ = √(-4 + 4)² + (8 - 4)²

⇒ d₂ = √16

⇒ d₂ = 4

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Side 3

⇒ d₃ = √(-4 - 0)² + (4 - 4)²

⇒ d₃ = √16

⇒ d₃ = 4

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Side 4

⇒ d₄ = √(0 - 0)² + (8 - 4)²

⇒ d₄ = √16

⇒ d₄ = 4

As all sides of the figure are equal, and it creates 4 right angles, it is a square.