The points F(4,
-2), G(9,
-6), H (8, -1), and I (5, 2) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of
quadrilateral.
(PHOTO BELOW)

The points F4 2 G9 6 H 8 1 and I 5 2 form a quadrilateral Find the desired slopes and lengths then fill in the words that BEST identifies the type of quadrilate class=

Respuesta :

Answer:

  see below for slopes and lengths

  scalene quadrilateral

Step-by-step explanation:

When calculations are repetitive, it is reasonable to let a spreadsheet do them.

 FG: slope: -4/5, length: √41 ≈ 6.40

  GH: slope: -5, length: √26 ≈ 5.10

  HI: slope: -1, length: 3√2 ≈ 4.24

  IF: slope: 4, length: √17 ≈ 4.12

All of the segments are different lengths, and none of them are parallel or perpendicular. The figure is a scalene quadrilateral.

__

As you know, the slope is calculated from ...

  m = (y2 -y1)/(x2 -x1)

and the length is calculated from ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

_____

In the attached spreadsheet, the slope and length are calculated from the point below. That is, the values on the line for F are for segment FG.

Ver imagen sqdancefan
Ver imagen sqdancefan