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3 years ago

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

Mathematics

2 answers:

Crazy boy [7]3 years ago

6 0

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

☺☺☺☺☺☺☺

Anettt [7]3 years ago

3 0

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 ║ GA
GF ║ 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

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Given:

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Substituting Perpendicular = 8 inches and Base = 12 inches, we get

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