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Determine whether the parallelogram is a rhombus, rectangle, square or none. PLEASE HELP!! WILL MARK BRAINLIEST!!

E(1,2) F(3,3) G(5,2) H(3,1)


A. EFGH is a rhombus that is not a square because it’s diagonals are perpendicular but not congruent.

B. EFGH is a rectangle that is not a square because it’s diagonals are congruent but not perpendicular.

C. EFGH is a square because it’s diagonals are both perpendicular and congruent.

D. EFGH is none of these because it’s diagonals are neither congruent nor perpendicular.

Respuesta :

sqdancefan

Answer:

  A. EFGH is a rhombus that is not a square because it’s diagonals are perpendicular but not congruent

Step-by-step explanation:

You can determine both the lengths and the relative angle between the diagonals by looking at the difference between their end points.

  G-E = (5, 2) -(1, 2) = (4, 0)

  F-H = (3, 3) -(3, 1) = (0, 2)

This tells you two things:

  1. GE is a horizontal line and FH is a vertical line, so the diagonals are perpendicular (the parallelogram is a rhombus)
  2. The length of GE is 4 and the length of FH is 2, so the diagonals are different length (the rhombus is not a square)

EFGH is a rhombus that is not a square.

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