divacasey09
contestada

Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which
statement is true?
Quadrilateral FLAG is a rhombus because all sides are congruent.
Quadrilateral FLAG is a parallelogram because opposite sides are parallel.
Quadrilateral FLAG is only a quadrilateral because no sides are congruent and no
sides are parallel.
Quadrilateral FLAG is a trapezoid because only one pair of sides are parallel.

Respuesta :

mhanifa

Answer:

  • B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Step-by-step explanation:

Refer to attached.

Plot the point and connect in order FLAG.

We see

  • FL â•‘ GA
  • GF â•‘ AL
  • FA and GL are not perpendicular

All the above can be confirmed by calculating the slopes:

  • m(FL) = (3 - 5)/(6 - 1) = -2/5
  • m(GA) = (1 + 1)/(-2-3) = -2/5
  • These are same.
  • m(GF) = (5 - 1)/(1 + 2) = 4/3
  • m(AL) = (3 + 1)/(6 - 3) = 4/3
  • These are same
  • m(FA) = (-1 - 5)/(3 - 1) = -3
  • m(GL) = (3 - 1)/(6 +2) = -1/4
  • These are negative but not reciprocal

The quadrilateral is a parallelogram.

Correct choice is B

Ver imagen mhanifa
SadashiNakamura

Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which

statement is true?

Quadrilateral FLAG is a rhombus because all sides are congruent.

Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Quadrilateral FLAG is only a quadrilateral because no sides are congruent and no

sides are parallel.

Quadrilateral FLAG is a trapezoid because only one pair of sides are parallel.

Saludos

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