Parallelogram fghi on the coordinate plane below represents the drawing of a horse trail through a local park: quadrilateral fghi is shown on the coordinate plane with coordinates f at negative 6, negative 1. g at negative 1, negative 1. h at negative 2, negative 4. i negative 7, negative 4. point a is at 3, 8 and point d is at 1, 2. in order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. if two corners of the trail are at point a(3, 8) and point d(1, 2), what is another point that could represent a corner of the trail? a) (10, 8) b)(6, 8) c) (8, 8) d) (13, 8)

The correct option is D.

Step-by-step explanation:

From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.

Distance formula

The scale factor is

Therefore the length of sides of image is twice of preimage.

The vertices A and D are image of F and I respectively.

The length of FG is

Therefore the length of AB is 10 units and length of CD is also 10 units.

The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).

The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).

Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

hope this , good luck!