Question

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:

In order to build a scale model of the trail, the drawing is enlarged as parallelogram ABCD 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 point B?

A-(10,8)
B-(13,8)
C-(8,8)
D(6,8)

Answer 1

I counted the distance from point f to g and applied to A. Since it is 5 units away, I got 8,8. The answer is C.

Hope it helps :)

Answer 2

Answer:

B-(13,8)

Step-by-step explanation:

Given:

• A (3, 8)
• D (1, 2)

=> The distance of AD = $\sqrt{(1-3)^{2} + (2-8)^{2} } = 2\sqrt{10}$  

• F (-6, -1)
• I (-7, -4)

=> The distance of FI = $\sqrt{(-7 - (-6))^{2} + (-4 -(-1))^{2} } = \sqrt{10}$  

So AD : FI = $2\sqrt{10} : \sqrt{10} = 2$

=> the scale factor is 2

The distance of FG = $\sqrt{((-1 -(-6))^{2} + (-1 - (-1))^{2} } = 5$

=> The distance of AB = FG*2 = 10

Because A and B have the same cordinate of y, so the distance of AB is the distance of cordinate x in two points.

another point that could represent point B is (13, 8)